[WIP] Breaking Change - Use Update
Folder name is changed, rework the html templates Change the organisation.
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auto/
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*.tex
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**/figs/*.pdf
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**/figs/*.svg
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=======
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**/figs/*.tex
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# Emacs
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auto/
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@ -3,7 +3,7 @@
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2019-03-15 ven. 11:41 -->
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<!-- 2019-05-10 ven. 09:46 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Measurements</title>
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@ -253,16 +253,16 @@ for the JavaScript code in this tag.
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#orgd3daf9d">1. Experimental conditions</a></li>
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<li><a href="#org8c42f5c">2. Measurements procedure</a></li>
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<li><a href="#org06a1ec4">3. Measurement Files</a></li>
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<li><a href="#orgde26e79">4. Data Analysis</a>
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<li><a href="#org2e8dc82">1. Experimental conditions</a></li>
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<li><a href="#org2f1a089">2. Measurements procedure</a></li>
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<li><a href="#orgcb92a24">3. Measurement Files</a></li>
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<li><a href="#orgad05307">4. Data Analysis</a>
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<ul>
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<li><a href="#orgcf77a6c">4.1. Loading of the data</a></li>
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<li><a href="#org37cddb7">4.2. Pre-processing of the data</a></li>
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<li><a href="#orgb992ebc">4.3. X-direction FRF</a></li>
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<li><a href="#org65e3ece">4.4. Y-direction FRF</a></li>
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<li><a href="#org90e2e38">4.5. Z-direction FRF</a></li>
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<li><a href="#org28e779a">4.1. Loading of the data</a></li>
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<li><a href="#orgf5d9ddc">4.2. Pre-processing of the data</a></li>
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<li><a href="#orgf90fc5f">4.3. X-direction FRF</a></li>
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<li><a href="#orgec13f33">4.4. Y-direction FRF</a></li>
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<li><a href="#org0696fe4">4.5. Z-direction FRF</a></li>
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</ul>
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</li>
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</ul>
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@ -273,39 +273,39 @@ for the JavaScript code in this tag.
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<a href="../index.html">Back to main page</a>.
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</p>
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<div id="outline-container-orgd3daf9d" class="outline-2">
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<h2 id="orgd3daf9d"><span class="section-number-2">1</span> Experimental conditions</h2>
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<div id="outline-container-org2e8dc82" class="outline-2">
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<h2 id="org2e8dc82"><span class="section-number-2">1</span> Experimental conditions</h2>
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<div class="outline-text-2" id="text-1">
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<ul class="org-ul">
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<li>Measurement made in a metrology lab</li>
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<li>The granite is not glued to the floor</li>
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<li>The Y-Translation stage is powered and in closed-loop</li>
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<li>The spindle is not powered</li>
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<li>Mass is placed on top of the Hexapod (<b>how much?</b>) (figure <a href="#orge4311fc">1</a>).</li>
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<li>Mass is placed on top of the Hexapod (<b>how much?</b>) (figure <a href="#orge067538">1</a>).</li>
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<li>Made by Marc Lesourd on the 17th of November 2017</li>
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</ul>
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<div id="orge4311fc" class="figure">
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<p><img src="./figs/accelerometers.png" alt="accelerometers.png" />
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<div id="orge067538" class="figure">
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<p><img src="./figs/accelerometers.png" alt="accelerometers.png" width="500px" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Accelerometers position</p>
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</div>
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<div id="orgdc7cb0d" class="figure">
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<p><img src="./figs/instrumented_hammer.png" alt="instrumented_hammer.png" />
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<div id="org737c3b9" class="figure">
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<p><img src="./figs/instrumented_hammer.png" alt="instrumented_hammer.png" width="500px" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Instrumented Hammer used</p>
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</div>
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</div>
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</div>
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<div id="outline-container-org8c42f5c" class="outline-2">
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<h2 id="org8c42f5c"><span class="section-number-2">2</span> Measurements procedure</h2>
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<div id="outline-container-org2f1a089" class="outline-2">
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<h2 id="org2f1a089"><span class="section-number-2">2</span> Measurements procedure</h2>
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<div class="outline-text-2" id="text-2">
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<p>
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<b>3-axis Accelerometers</b> (specifications table <a href="#orgb286243">1</a>) are glued on (see figure <a href="#orge4311fc">1</a>):
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<b>3-axis Accelerometers</b> (specifications table <a href="#org7e5f9c1">1</a>) are glued on (see figure <a href="#orge067538">1</a>):
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</p>
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<ul class="org-ul">
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<li>Marble</li>
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@ -314,7 +314,7 @@ for the JavaScript code in this tag.
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<li>top of Hexapod</li>
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</ul>
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<table id="orgb286243" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="org7e5f9c1" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 1:</span> Pieozoelectric acc. 356b18 - 3 axis</caption>
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<colgroup>
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@ -351,7 +351,7 @@ for the JavaScript code in this tag.
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</table>
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<p>
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The structure is excited using an <b>instrumented hammer</b> with impacts on (see figure <a href="#orgdc7cb0d">2</a>):
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The structure is excited using an <b>instrumented hammer</b> with impacts on (see figure <a href="#org737c3b9">2</a>):
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</p>
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<ul class="org-ul">
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<li>Marble</li>
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@ -360,8 +360,8 @@ The structure is excited using an <b>instrumented hammer</b> with impacts on (se
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</div>
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</div>
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<div id="outline-container-org06a1ec4" class="outline-2">
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<h2 id="org06a1ec4"><span class="section-number-2">3</span> Measurement Files</h2>
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<div id="outline-container-orgcb92a24" class="outline-2">
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<h2 id="orgcb92a24"><span class="section-number-2">3</span> Measurement Files</h2>
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<div class="outline-text-2" id="text-3">
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<p>
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Two measurements files are:
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@ -370,7 +370,7 @@ Two measurements files are:
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<li><code>id31_microstation_2017_11_17_frf.mat</code> that contains:
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<ul class="org-ul">
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<li><code>freq_frf</code> the frequency vector in Hz</li>
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<li>Computed frequency response functions (see table <a href="#org3821552">2</a>)</li>
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<li>Computed frequency response functions (see table <a href="#orgc7a9cf7">2</a>)</li>
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</ul></li>
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<li><code>id31_microstation_2017_11_17_coh.mat</code>
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<ul class="org-ul">
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@ -379,10 +379,10 @@ Two measurements files are:
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</ul>
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<p>
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For each of the measurement, the measured channels are shown on table <a href="#orgedc361d">3</a>.
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For each of the measurement, the measured channels are shown on table <a href="#org4e93508">3</a>.
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</p>
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<table id="org3821552" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="orgc7a9cf7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 2:</span> Description of the location of direction of the excitation for each measurement</caption>
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<colgroup>
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@ -438,7 +438,7 @@ For each of the measurement, the measured channels are shown on table <a href="#
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</tbody>
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</table>
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<table id="orgedc361d" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="org4e93508" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 3:</span> Description of each measurement channel</caption>
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<colgroup>
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@ -554,63 +554,63 @@ For each of the measurement, the measured channels are shown on table <a href="#
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</div>
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</div>
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<div id="outline-container-orgde26e79" class="outline-2">
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<h2 id="orgde26e79"><span class="section-number-2">4</span> Data Analysis</h2>
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<div id="outline-container-orgad05307" class="outline-2">
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<h2 id="orgad05307"><span class="section-number-2">4</span> Data Analysis</h2>
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<div class="outline-text-2" id="text-4">
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</div>
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<div id="outline-container-orgcf77a6c" class="outline-3">
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<h3 id="orgcf77a6c"><span class="section-number-3">4.1</span> Loading of the data</h3>
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<div id="outline-container-org28e779a" class="outline-3">
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<h3 id="org28e779a"><span class="section-number-3">4.1</span> Loading of the data</h3>
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<div class="outline-text-3" id="text-4-1">
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<div class="org-src-container">
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<pre class="src src-matlab">load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/id31_microstation_2017_11_17_coh.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'coh_marble_z'</span><span style="color: #DCDCCC;">)</span>;
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<pre class="src src-matlab">load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/id31_microstation_2017_11_17_coh.mat'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_hexa_x'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_hexa_y'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_hexa_z'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_marble_x'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_marble_y'</span>,<span class="org-underline">...</span>
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<span class="org-string">'coh_marble_z'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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load<span style="color: #DCDCCC;">(</span><span style="color: #CC9393;">'./raw_data/id31_microstation_2017_11_17_frf.mat'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'freq_frf'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_hexa_z'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_x'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_y'</span>,<span style="text-decoration: underline;">...</span>
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<span style="color: #CC9393;">'frf_marble_z'</span><span style="color: #DCDCCC;">)</span>;
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load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'./raw_data/id31_microstation_2017_11_17_frf.mat'</span>,<span class="org-underline">...</span>
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<span class="org-string">'freq_frf'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_hexa_x'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_hexa_y'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_hexa_z'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_marble_x'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_marble_y'</span>,<span class="org-underline">...</span>
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<span class="org-string">'frf_marble_z'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
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</div>
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</div>
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</div>
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<div id="outline-container-org37cddb7" class="outline-3">
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<h3 id="org37cddb7"><span class="section-number-3">4.2</span> Pre-processing of the data</h3>
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<div id="outline-container-orgf5d9ddc" class="outline-3">
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<h3 id="orgf5d9ddc"><span class="section-number-3">4.2</span> Pre-processing of the data</h3>
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<div class="outline-text-3" id="text-4-2">
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<p>
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The FRF data are scaled with the sensitivity of the accelerometer and integrated two times to have the displacement instead of the acceleration.
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">accel_sensitivity = <span style="color: #BFEBBF;">0</span>.<span style="color: #BFEBBF;">102</span>; <span style="color: #7F9F7F;">% [V/(m/s2)]</span>
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w = <span style="color: #BFEBBF;">j</span><span style="color: #7CB8BB;">*</span><span style="color: #BFEBBF;">2</span><span style="color: #7CB8BB;">*</span><span style="color: #BFEBBF;">pi</span><span style="color: #7CB8BB;">*</span>freq_frf; <span style="color: #7F9F7F;">% j.omega in [rad/s]</span>
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<pre class="src src-matlab">accel_sensitivity = <span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">102</span>; <span class="org-comment">% [V/(m/s2)]</span>
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w = <span class="org-constant">j</span><span class="org-type">*</span><span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span><span class="org-type">*</span>freq_frf; <span class="org-comment">% j.omega in [rad/s]</span>
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frf_hexa_x = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_x<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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frf_hexa_y = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_y<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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frf_hexa_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_hexa_z<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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frf_hexa_x = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_hexa_x<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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frf_hexa_y = <span class="org-type">-</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_hexa_y<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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frf_hexa_z = <span class="org-type">-</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_hexa_z<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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frf_marble_x = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_x<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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frf_marble_y = <span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_y<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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||||
frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF;">1</span><span style="color: #7CB8BB;">/</span>accel_sensitivity<span style="color: #7CB8BB;">*</span>frf_marble_z<span style="color: #7CB8BB;">./</span><span style="color: #DCDCCC;">(</span>w<span style="color: #7CB8BB;">.^</span><span style="color: #BFEBBF;">2</span><span style="color: #DCDCCC;">)</span>;
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||||
frf_marble_x = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_marble_x<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
frf_marble_y = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_marble_y<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
frf_marble_z = <span class="org-type">-</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>accel_sensitivity<span class="org-type">*</span>frf_marble_z<span class="org-type">./</span><span class="org-rainbow-delimiters-depth-1">(</span>w<span class="org-type">.^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgb992ebc" class="outline-3">
|
||||
<h3 id="orgb992ebc"><span class="section-number-3">4.3</span> X-direction FRF</h3>
|
||||
<div id="outline-container-orgf90fc5f" class="outline-3">
|
||||
<h3 id="orgf90fc5f"><span class="section-number-3">4.3</span> X-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-3">
|
||||
|
||||
<div id="orgf0fdcf7" class="figure">
|
||||
<div id="org7ea5cb4" class="figure">
|
||||
<p><img src="figs/marble_x_frf.png" alt="marble_x_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Response to a force applied on the marble in the X direction</p>
|
||||
@ -618,7 +618,7 @@ frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF
|
||||
|
||||
|
||||
|
||||
<div id="org8412b64" class="figure">
|
||||
<div id="org55645ce" class="figure">
|
||||
<p><img src="figs/hexa_x_frf.png" alt="hexa_x_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Response to a force applied on the hexa in the X direction</p>
|
||||
@ -626,18 +626,18 @@ frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org65e3ece" class="outline-3">
|
||||
<h3 id="org65e3ece"><span class="section-number-3">4.4</span> Y-direction FRF</h3>
|
||||
<div id="outline-container-orgec13f33" class="outline-3">
|
||||
<h3 id="orgec13f33"><span class="section-number-3">4.4</span> Y-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-4">
|
||||
|
||||
<div id="org59ce301" class="figure">
|
||||
<div id="org8de99f7" class="figure">
|
||||
<p><img src="figs/marble_y_frf.png" alt="marble_y_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Response to a force applied on the marble in the Y direction</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orga559225" class="figure">
|
||||
<div id="org8506d1b" class="figure">
|
||||
<p><img src="figs/hexa_y_frf.png" alt="hexa_y_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Response to a force applied on the hexa in the Y direction</p>
|
||||
@ -645,18 +645,18 @@ frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org90e2e38" class="outline-3">
|
||||
<h3 id="org90e2e38"><span class="section-number-3">4.5</span> Z-direction FRF</h3>
|
||||
<div id="outline-container-org0696fe4" class="outline-3">
|
||||
<h3 id="org0696fe4"><span class="section-number-3">4.5</span> Z-direction FRF</h3>
|
||||
<div class="outline-text-3" id="text-4-5">
|
||||
|
||||
<div id="orgc3ab1a0" class="figure">
|
||||
<div id="orgb151cf9" class="figure">
|
||||
<p><img src="figs/marble_z_frf.png" alt="marble_z_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Response to a force applied on the marble in the Z direction</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orge969c88" class="figure">
|
||||
<div id="orgfa78f3b" class="figure">
|
||||
<p><img src="figs/hexa_z_frf.png" alt="hexa_z_frf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Response to a force applied on the hexa in the Z direction</p>
|
||||
@ -667,7 +667,7 @@ frf_marble_z = <span style="color: #7CB8BB;">-</span><span style="color: #BFEBBF
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-03-15 ven. 11:41</p>
|
||||
<p class="date">Created: 2019-05-10 ven. 09:46</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
|
||||
@ -1,27 +1,5 @@
|
||||
#+TITLE: Measurements
|
||||
:drawer:
|
||||
#+STARTUP: overview
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
||||
|
||||
#+LATEX_CLASS: cleanreport
|
||||
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :noweb yes
|
||||
#+PROPERTY: header-args:matlab+ :mkdirp yes
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Experimental conditions
|
||||
- Measurement made in a metrology lab
|
||||
@ -33,12 +11,12 @@
|
||||
|
||||
#+name: fig:accelerometers
|
||||
#+caption: Accelerometers position
|
||||
#+attr_latex: :width 0.5\linewidth
|
||||
#+attr_html: :width 500px
|
||||
[[file:./figs/accelerometers.png]]
|
||||
|
||||
#+name: fig:instrumented_hammer
|
||||
#+caption: Instrumented Hammer used
|
||||
#+attr_latex: :width 0.5\linewidth
|
||||
#+attr_html: :width 500px
|
||||
[[file:./figs/instrumented_hammer.png]]
|
||||
|
||||
* Measurements procedure
|
||||
@ -101,7 +79,11 @@ For each of the measurement, the measured channels are shown on table [[tab:meas
|
||||
|
||||
* Data Analysis
|
||||
** Loading of the data
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
|
||||
@ -1,27 +1,5 @@
|
||||
#+TITLE: Measurements
|
||||
:drawer:
|
||||
#+STARTUP: overview
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
||||
|
||||
#+LATEX_CLASS: cleanreport
|
||||
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :noweb yes
|
||||
#+PROPERTY: header-args:matlab+ :mkdirp yes
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Experimental conditions
|
||||
- The granite is not glued to the floor
|
||||
@ -72,7 +50,11 @@ The structure is excited using an *instrumented hammer* with impacts on
|
||||
|
||||
* Data Analysis
|
||||
** Loading and pre-processing of the data
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
|
||||
@ -378,4 +378,3 @@ legend(leg1,leg6,'Location','SouthEast');
|
||||
grid
|
||||
% saveas(gcf,'comp_frf_z_hammer_hexa','fig')
|
||||
% print -dpng comp_frf_z_hammer_hexa
|
||||
|
||||
|
||||
@ -1,27 +1,5 @@
|
||||
#+TITLE: Measurements
|
||||
:drawer:
|
||||
#+STARTUP: overview
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
||||
|
||||
#+LATEX_CLASS: cleanreport
|
||||
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :noweb yes
|
||||
#+PROPERTY: header-args:matlab+ :mkdirp yes
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Experimental conditions
|
||||
- Measurement made in the experiment hutch
|
||||
@ -87,7 +65,11 @@ Les fichiers xxx_raw sont sans traitement dans le domaine temporel (environ 10 i
|
||||
|
||||
* Data Analysis
|
||||
** Loading of the data
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
|
||||
@ -1,34 +1,18 @@
|
||||
#+TITLE: Measurement Analysis
|
||||
:drawer:
|
||||
#+STARTUP: overview
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
||||
* Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+LATEX_CLASS: cleanreport
|
||||
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :noweb yes
|
||||
#+PROPERTY: header-args:matlab+ :mkdirp yes
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
* Measurement Description
|
||||
#+name: fig:setup_picture
|
||||
#+attr_html: :width 500px
|
||||
#+caption: Picture of the setup for the measurement
|
||||
[[file:./figs/setup_picture.png]]
|
||||
|
||||
|
||||
@ -1,29 +1,12 @@
|
||||
#+TITLE: Ground Motion Measurements
|
||||
:drawer:
|
||||
#+STARTUP: overview
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <script src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script src="../js/readtheorg.js"></script>
|
||||
* Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+LATEX_CLASS: cleanreport
|
||||
#+LaTeX_CLASS_OPTIONS: [tocnp, secbreak, minted]
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :noweb yes
|
||||
#+PROPERTY: header-args:matlab+ :mkdirp yes
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:end:
|
||||
|
||||
[[../index.org][Back to main page]].
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
|
||||
Binary file not shown.
|
Before Width: | Height: | Size: 45 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 28 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 28 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 27 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 27 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 26 KiB |
@ -1,110 +0,0 @@
|
||||
Error X et Y
|
||||
|
||||
LSCxtot =
|
||||
|
||||
0.3872
|
||||
|
||||
|
||||
LSCytot =
|
||||
|
||||
0.2419
|
||||
|
||||
|
||||
LSCxsync =
|
||||
|
||||
0.1577
|
||||
|
||||
|
||||
LSCysync =
|
||||
|
||||
0.1602
|
||||
|
||||
|
||||
LSCxasync =
|
||||
|
||||
0.2946
|
||||
|
||||
|
||||
LSCyasync =
|
||||
|
||||
0.1103
|
||||
|
||||
|
||||
LSCxytot =
|
||||
|
||||
0.3519
|
||||
|
||||
|
||||
Error X2 et Y2
|
||||
|
||||
|
||||
LSCxtot =
|
||||
|
||||
0.3354
|
||||
|
||||
|
||||
LSCytot =
|
||||
|
||||
0.3202
|
||||
|
||||
|
||||
LSCxsync =
|
||||
|
||||
0.1101
|
||||
|
||||
|
||||
LSCysync =
|
||||
|
||||
0.0808
|
||||
|
||||
|
||||
LSCxasync =
|
||||
|
||||
0.2588
|
||||
|
||||
|
||||
LSCyasync =
|
||||
|
||||
0.2791
|
||||
|
||||
|
||||
LSCxytot =
|
||||
|
||||
0.3642
|
||||
|
||||
|
||||
|
||||
ErrorZ
|
||||
LSCxtot =
|
||||
|
||||
0.0775
|
||||
|
||||
|
||||
LSCytot =
|
||||
|
||||
0.0775
|
||||
|
||||
|
||||
LSCxsync =
|
||||
|
||||
0.0390
|
||||
|
||||
|
||||
LSCysync =
|
||||
|
||||
0.0390
|
||||
|
||||
|
||||
LSCxasync =
|
||||
|
||||
0.0617
|
||||
|
||||
|
||||
LSCyasync =
|
||||
|
||||
0.0617
|
||||
|
||||
|
||||
LSCxytot =
|
||||
|
||||
0.1000
|
||||
Binary file not shown.
|
Before Width: | Height: | Size: 49 KiB |
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|
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|
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|
||||
[[../index.org][Back to main page]].
|
||||
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|
||||
|
||||
* Sensors
|
||||
** Accelerometers
|
||||
@ -160,7 +138,11 @@ We define the parameters of the geophone and we plot its bode plot (figure [[fig
|
||||
| Weight [g] | 2150 |
|
||||
| Sensitivity [V/(m/s)] | 276.8 |
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|
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|
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|
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|
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|
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|
||||
:DRAWER:
|
||||
#+STARTUP: overview
|
||||
|
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|
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:END:
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Geophone
|
||||
L22
|
||||
|
||||
3
huddle-test-geophones/figs/.gitignore
vendored
3
huddle-test-geophones/figs/.gitignore
vendored
@ -1,3 +0,0 @@
|
||||
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|
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|
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*.tex
|
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<!-- 2019-05-10 ven. 14:24 -->
|
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|
||||
<meta name="viewport" content="width=device-width, initial-scale=1" />
|
||||
<title>Huddle Test of the L22 Geophones</title>
|
||||
<meta name="generator" content="Org mode" />
|
||||
<meta name="author" content="Thomas Dehaeze" />
|
||||
<meta name="author" content="Dehaeze Thomas" />
|
||||
<style type="text/css">
|
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<!--/*--><![CDATA[/*><!--*/
|
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.title { text-align: center;
|
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@ -248,6 +248,9 @@ for the JavaScript code in this tag.
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|
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</head>
|
||||
<body>
|
||||
<div id="content">
|
||||
<div id="org-div-home-and-up">
|
||||
<a accesskey="h" href="../index.html"> UP </a>
|
||||
|
|
||||
<a accesskey="H" href="../index.html"> HOME </a>
|
||||
</div><div id="content">
|
||||
<h1 class="title">Huddle Test of the L22 Geophones</h1>
|
||||
<div id="table-of-contents">
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#org446511b">1. Experimental Setup</a></li>
|
||||
<li><a href="#org0689ed7">2. Signal Processing</a>
|
||||
<li><a href="#org214e6d8">1. Experimental Setup</a></li>
|
||||
<li><a href="#org42d6b13">2. Signal Processing</a>
|
||||
<ul>
|
||||
<li><a href="#org34a2d4c">2.1. Load data</a></li>
|
||||
<li><a href="#org28e8648">2.2. Time Domain Data</a></li>
|
||||
<li><a href="#org910f3e4">2.3. Computation of the ASD of the measured voltage</a></li>
|
||||
<li><a href="#org4e984e1">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
|
||||
<li><a href="#org607752b">2.5. Computation of the ASD of the velocity</a></li>
|
||||
<li><a href="#org0a07c74">2.6. Transfer function between the two geophones</a></li>
|
||||
<li><a href="#orgdc03acb">2.7. Estimation of the sensor noise</a></li>
|
||||
<li><a href="#orgf4a8298">2.1. Load data</a></li>
|
||||
<li><a href="#org687ebba">2.2. Time Domain Data</a></li>
|
||||
<li><a href="#org649e300">2.3. Computation of the ASD of the measured voltage</a></li>
|
||||
<li><a href="#org6148805">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
|
||||
<li><a href="#orgfd258d8">2.5. Computation of the ASD of the velocity</a></li>
|
||||
<li><a href="#org453baa3">2.6. Transfer function between the two geophones</a></li>
|
||||
<li><a href="#orgd2d293a">2.7. Estimation of the sensor noise</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org58e6c46">3. Compare axis</a>
|
||||
<li><a href="#orgbd963cb">3. Compare axis</a>
|
||||
<ul>
|
||||
<li><a href="#org8f74945">3.1. Load data</a></li>
|
||||
<li><a href="#orgf13f88e">3.2. Compare PSD</a></li>
|
||||
<li><a href="#orgf389e18">3.3. Compare TF</a></li>
|
||||
<li><a href="#org5ae5d71">3.1. Load data</a></li>
|
||||
<li><a href="#orgd12648a">3.2. Compare PSD</a></li>
|
||||
<li><a href="#orgf076a23">3.3. Compare TF</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org1ca0f74">4. Appendix</a>
|
||||
<li><a href="#org17f5bce">4. Appendix</a>
|
||||
<ul>
|
||||
<li><a href="#org9faefb2">4.1. Computation of coherence from PSD and CSD</a></li>
|
||||
<li><a href="#org6babc5e">4.1. Computation of coherence from PSD and CSD</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org446511b" class="outline-2">
|
||||
<h2 id="org446511b"><span class="section-number-2">1</span> Experimental Setup</h2>
|
||||
<div id="outline-container-org214e6d8" class="outline-2">
|
||||
<h2 id="org214e6d8"><span class="section-number-2">1</span> Experimental Setup</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
Two L22 geophones are used.
|
||||
@ -315,36 +324,46 @@ They are leveled.
|
||||
|
||||
<p>
|
||||
The signals are amplified using voltage amplifier with a gain of 60dB.
|
||||
The voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz.
|
||||
The voltage amplifiers includes:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>an high pass filter with a cut-off frequency at 1.5Hz (AC option)</li>
|
||||
<li>a low pass filter with a cut-off frequency at 1kHz</li>
|
||||
</ul>
|
||||
|
||||
|
||||
<div id="orgeab8098" class="figure">
|
||||
<p><img src="./figs/setup.jpg" alt="setup.jpg" width="500px" />
|
||||
<div id="org2edcc21" class="figure">
|
||||
<p><img src="./img/setup.jpg" alt="setup.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Setup</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgdadbe53" class="figure">
|
||||
<p><img src="./figs/geophones.jpg" alt="geophones.jpg" width="500px" />
|
||||
<div id="org36e36a2" class="figure">
|
||||
<p><img src="./img/geophones.jpg" alt="geophones.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Geophones</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org0689ed7" class="outline-2">
|
||||
<h2 id="org0689ed7"><span class="section-number-2">2</span> Signal Processing</h2>
|
||||
<div id="outline-container-org42d6b13" class="outline-2">
|
||||
<h2 id="org42d6b13"><span class="section-number-2">2</span> Signal Processing</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<p>
|
||||
The Matlab computing file for this part is accessible <a href="signal_processing.m">here</a>.
|
||||
The <code>mat</code> file containing the measurement data is accessible <a href="mat/data_001.mat">here</a>.
|
||||
<a id="org7e05e6c"></a>
|
||||
</p>
|
||||
|
||||
<div class="note">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/huddle_test_signal_processing.zip">here</a>.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org34a2d4c" class="outline-3">
|
||||
<h3 id="org34a2d4c"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div id="outline-container-orgf4a8298" class="outline-3">
|
||||
<h3 id="orgf4a8298"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
@ -358,8 +377,8 @@ dt = t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-high
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org28e8648" class="outline-3">
|
||||
<h3 id="org28e8648"><span class="section-number-3">2.2</span> Time Domain Data</h3>
|
||||
<div id="outline-container-org687ebba" class="outline-3">
|
||||
<h3 id="org687ebba"><span class="section-number-3">2.2</span> Time Domain Data</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
@ -374,7 +393,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgbc90092" class="figure">
|
||||
<div id="org20233d2" class="figure">
|
||||
<p><img src="figs/data_time_domain.png" alt="data_time_domain.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Time domain Data</p>
|
||||
@ -394,7 +413,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgbb22470" class="figure">
|
||||
<div id="org1b7bc10" class="figure">
|
||||
<p><img src="figs/data_time_domain_zoom.png" alt="data_time_domain_zoom.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Time domain Data - Zoom</p>
|
||||
@ -402,8 +421,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org910f3e4" class="outline-3">
|
||||
<h3 id="org910f3e4"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
|
||||
<div id="outline-container-org649e300" class="outline-3">
|
||||
<h3 id="org649e300"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
We first define the parameters for the frequency domain analysis.
|
||||
@ -425,7 +444,7 @@ Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</div>
|
||||
|
||||
<p>
|
||||
And we plot the result on figure <a href="#orgbf77081">5</a>.
|
||||
And we plot the result on figure <a href="#org3ce04bf">5</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -442,7 +461,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgbf77081" class="figure">
|
||||
<div id="org3ce04bf" class="figure">
|
||||
<p><img src="figs/asd_voltage.png" alt="asd_voltage.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Amplitude Spectral Density of the measured voltage</p>
|
||||
@ -450,11 +469,11 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org4e984e1" class="outline-3">
|
||||
<h3 id="org4e984e1"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
|
||||
<div id="outline-container-org6148805" class="outline-3">
|
||||
<h3 id="org6148805"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<p>
|
||||
The Geophone used are L22. Their sensibility is shown on figure <a href="#org0a867d9">6</a>.
|
||||
The Geophone used are L22. Their sensibility is shown on figure <a href="#orgd7b0965">6</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -466,7 +485,7 @@ S = S0<span class="org-type">*</span><span class="org-rainbow-delimiters-depth-1
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org0a867d9" class="figure">
|
||||
<div id="orgd7b0965" class="figure">
|
||||
<p><img src="figs/geophone_sensibility.png" alt="geophone_sensibility.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Sensibility of the Geophone</p>
|
||||
@ -496,11 +515,11 @@ We further divide the result by the sensibility of the Geophone to obtain the AS
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org607752b" class="outline-3">
|
||||
<h3 id="org607752b"><span class="section-number-3">2.5</span> Computation of the ASD of the velocity</h3>
|
||||
<div id="outline-container-orgfd258d8" class="outline-3">
|
||||
<h3 id="orgfd258d8"><span class="section-number-3">2.5</span> Computation of the ASD of the velocity</h3>
|
||||
<div class="outline-text-3" id="text-2-5">
|
||||
<p>
|
||||
The ASD of the measured velocity is shown on figure <a href="#orgd9a4009">7</a>.
|
||||
The ASD of the measured velocity is shown on figure <a href="#org3cb06de">7</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -517,14 +536,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgd9a4009" class="figure">
|
||||
<div id="org3cb06de" class="figure">
|
||||
<p><img src="figs/psd_velocity.png" alt="psd_velocity.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Amplitude Spectral Density of the Velocity</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We also plot the ASD in displacement (figure <a href="#orgc0b2ca5">8</a>);
|
||||
We also plot the ASD in displacement (figure <a href="#org2012a56">8</a>);
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -540,7 +559,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgc0b2ca5" class="figure">
|
||||
<div id="org2012a56" class="figure">
|
||||
<p><img src="figs/asd_displacement.png" alt="asd_displacement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Amplitude Spectral Density of the Displacement</p>
|
||||
@ -548,16 +567,16 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org0a07c74" class="outline-3">
|
||||
<h3 id="org0a07c74"><span class="section-number-3">2.6</span> Transfer function between the two geophones</h3>
|
||||
<div id="outline-container-org453baa3" class="outline-3">
|
||||
<h3 id="org453baa3"><span class="section-number-3">2.6</span> Transfer function between the two geophones</h3>
|
||||
<div class="outline-text-3" id="text-2-6">
|
||||
<p>
|
||||
We here compute the transfer function from one geophone to the other.
|
||||
The result is shown on figure <a href="#org7d8ea2b">9</a>.
|
||||
The result is shown on figure <a href="#org8ca997a">9</a>.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
We also compute the coherence between the two signals (figure <a href="#org628544f">10</a>).
|
||||
We also compute the coherence between the two signals (figure <a href="#org4366ab4">10</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -566,7 +585,7 @@ We also compute the coherence between the two signals (figure <a href="#org62854
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org7d8ea2b" class="figure">
|
||||
<div id="org8ca997a" class="figure">
|
||||
<p><img src="figs/tf_geophones.png" alt="tf_geophones.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Estimated transfer function between the two geophones</p>
|
||||
@ -578,7 +597,7 @@ We also compute the coherence between the two signals (figure <a href="#org62854
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org628544f" class="figure">
|
||||
<div id="org4366ab4" class="figure">
|
||||
<p><img src="figs/coh_geophones.png" alt="coh_geophones.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 10: </span>Cohererence between the signals of the two geophones</p>
|
||||
@ -586,8 +605,8 @@ We also compute the coherence between the two signals (figure <a href="#org62854
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgdc03acb" class="outline-3">
|
||||
<h3 id="orgdc03acb"><span class="section-number-3">2.7</span> Estimation of the sensor noise</h3>
|
||||
<div id="outline-container-orgd2d293a" class="outline-3">
|
||||
<h3 id="orgd2d293a"><span class="section-number-3">2.7</span> Estimation of the sensor noise</h3>
|
||||
<div class="outline-text-3" id="text-2-7">
|
||||
<p>
|
||||
The technique to estimate the sensor noise is taken from <a class='org-ref-reference' href="#barzilai98_techn_measur_noise_sensor_presen">barzilai98_techn_measur_noise_sensor_presen</a>.
|
||||
@ -617,11 +636,11 @@ where:
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
The <code>mscohere</code> function is compared with this formula on Appendix (section <a href="#orgc9ed210">4.1</a>), it is shown that it is identical.
|
||||
The <code>mscohere</code> function is compared with this formula on Appendix (section <a href="#org956da99">4.1</a>), it is shown that it is identical.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
Figure <a href="#org9b31b02">11</a> illustrate a block diagram model of the system used to determine the sensor noise of the geophone.
|
||||
Figure <a href="#orgc9be925">11</a> illustrate a block diagram model of the system used to determine the sensor noise of the geophone.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
@ -633,7 +652,7 @@ Each sensor has noise \(N\) and \(M\).
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org9b31b02" class="figure">
|
||||
<div id="orgc9be925" class="figure">
|
||||
<p><img src="figs/huddle-test.png" alt="huddle-test.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 11: </span>Huddle test block diagram</p>
|
||||
@ -648,7 +667,7 @@ We also assume that \(S_1 = S_2 = 1\).
|
||||
We then obtain:
|
||||
</p>
|
||||
\begin{equation}
|
||||
\label{orgf197c52}
|
||||
\label{orgc4ca458}
|
||||
\gamma_{XY}^2(\omega) = \frac{1}{1 + 2 \left( \frac{|G_N(\omega)|}{|G_U(\omega)|} \right) + \left( \frac{|G_N(\omega)|}{|G_U(\omega)|} \right)^2}
|
||||
\end{equation}
|
||||
|
||||
@ -656,23 +675,23 @@ We then obtain:
|
||||
Since the input signal \(U\) and the instrumental noise \(N\) are incoherent:
|
||||
</p>
|
||||
\begin{equation}
|
||||
\label{org845ba9b}
|
||||
\label{orgb9a5b79}
|
||||
|G_X(\omega)| = |G_N(\omega)| + |G_U(\omega)|
|
||||
\end{equation}
|
||||
|
||||
<p>
|
||||
From equations \eqref{orgf197c52} and \eqref{org845ba9b}, we finally obtain
|
||||
From equations \eqref{orgc4ca458} and \eqref{orgb9a5b79}, we finally obtain
|
||||
</p>
|
||||
<div class="important">
|
||||
\begin{equation}
|
||||
\label{org0941f4e}
|
||||
\label{org618c850}
|
||||
|G_N(\omega)| = |G_X(\omega)| \left( 1 - \sqrt{\gamma_{XY}^2(\omega)} \right)
|
||||
\end{equation}
|
||||
|
||||
</div>
|
||||
|
||||
<p>
|
||||
The instrumental noise is computed below. The result in V<sup>2</sup>/Hz is shown on figure <a href="#orged7b0f2">12</a>.
|
||||
The instrumental noise is computed below. The result in V<sup>2</sup>/Hz is shown on figure <a href="#org8fc8f62">12</a>.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">pxxN = pxx1<span class="org-type">.*</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span> <span class="org-type">-</span> coh12<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
@ -693,14 +712,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orged7b0f2" class="figure">
|
||||
<div id="org8fc8f62" class="figure">
|
||||
<p><img src="figs/intrumental_noise_V.png" alt="intrumental_noise_V.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 12: </span>Instrumental Noise and Measurement in \(V^2/Hz\)</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
This is then further converted into velocity and compared with the ground velocity measurement. (figure <a href="#org3b9b556">13</a>)
|
||||
This is then further converted into velocity and compared with the ground velocity measurement. (figure <a href="#orgaf005ac">13</a>)
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
@ -716,7 +735,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org3b9b556" class="figure">
|
||||
<div id="orgaf005ac" class="figure">
|
||||
<p><img src="figs/intrumental_noise_velocity.png" alt="intrumental_noise_velocity.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 13: </span>Instrumental Noise and Measurement in \(m/s/\sqrt{Hz}\)</p>
|
||||
@ -725,22 +744,23 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org58e6c46" class="outline-2">
|
||||
<h2 id="org58e6c46"><span class="section-number-2">3</span> Compare axis</h2>
|
||||
<div id="outline-container-orgbd963cb" class="outline-2">
|
||||
<h2 id="orgbd963cb"><span class="section-number-2">3</span> Compare axis</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
<p>
|
||||
The Matlab computing file for this part is accessible <a href="compare_axis.m">here</a>.
|
||||
The <code>mat</code> files containing the measurement data are accessible with the following links:
|
||||
<a id="org04574c0"></a>
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>z axis: <a href="mat/data_001.mat">here</a>.</li>
|
||||
<li>east axis: <a href="mat/data_002.mat">here</a>.</li>
|
||||
<li>north axis: <a href="mat/data_003.mat">here</a>.</li>
|
||||
</ul>
|
||||
|
||||
<div class="note">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/huddle_test_compare_axis.zip">here</a>.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org8f74945" class="outline-3">
|
||||
<h3 id="org8f74945"><span class="section-number-3">3.1</span> Load data</h3>
|
||||
<div id="outline-container-org5ae5d71" class="outline-3">
|
||||
<h3 id="org5ae5d71"><span class="section-number-3">3.1</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-3-1">
|
||||
<p>
|
||||
We first load the data for the three axis.
|
||||
@ -754,8 +774,8 @@ north = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="or
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf13f88e" class="outline-3">
|
||||
<h3 id="orgf13f88e"><span class="section-number-3">3.2</span> Compare PSD</h3>
|
||||
<div id="outline-container-orgd12648a" class="outline-3">
|
||||
<h3 id="orgd12648a"><span class="section-number-3">3.2</span> Compare PSD</h3>
|
||||
<div class="outline-text-3" id="text-3-2">
|
||||
<p>
|
||||
The PSD for each axis of the two geophones are computed.
|
||||
@ -773,10 +793,10 @@ The PSD for each axis of the two geophones are computed.
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We compare them. The result is shown on figure <a href="#orgdfcdc16">14</a>.
|
||||
We compare them. The result is shown on figure <a href="#orgbd316c4">14</a>.
|
||||
</p>
|
||||
|
||||
<div id="orgdfcdc16" class="figure">
|
||||
<div id="orgbd316c4" class="figure">
|
||||
<p><img src="figs/compare_axis_psd.png" alt="compare_axis_psd.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 14: </span>Compare the measure PSD of the two geophones for the three axis</p>
|
||||
@ -784,12 +804,12 @@ We compare them. The result is shown on figure <a href="#orgdfcdc16">14</a>.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf389e18" class="outline-3">
|
||||
<h3 id="orgf389e18"><span class="section-number-3">3.3</span> Compare TF</h3>
|
||||
<div id="outline-container-orgf076a23" class="outline-3">
|
||||
<h3 id="orgf076a23"><span class="section-number-3">3.3</span> Compare TF</h3>
|
||||
<div class="outline-text-3" id="text-3-3">
|
||||
<p>
|
||||
The transfer functions from one geophone to the other are also computed for each axis.
|
||||
The result is shown on figure <a href="#orgdd8cabb">15</a>.
|
||||
The result is shown on figure <a href="#org1278c1f">15</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -800,7 +820,7 @@ The result is shown on figure <a href="#orgdd8cabb">15</a>.
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgdd8cabb" class="figure">
|
||||
<div id="org1278c1f" class="figure">
|
||||
<p><img src="figs/compare_tf_axis.png" alt="compare_tf_axis.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 15: </span>Compare the transfer function from one geophone to the other for the 3 axis</p>
|
||||
@ -809,15 +829,15 @@ The result is shown on figure <a href="#orgdd8cabb">15</a>.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org1ca0f74" class="outline-2">
|
||||
<h2 id="org1ca0f74"><span class="section-number-2">4</span> Appendix</h2>
|
||||
<div id="outline-container-org17f5bce" class="outline-2">
|
||||
<h2 id="org17f5bce"><span class="section-number-2">4</span> Appendix</h2>
|
||||
<div class="outline-text-2" id="text-4">
|
||||
</div>
|
||||
<div id="outline-container-org9faefb2" class="outline-3">
|
||||
<h3 id="org9faefb2"><span class="section-number-3">4.1</span> Computation of coherence from PSD and CSD</h3>
|
||||
<div id="outline-container-org6babc5e" class="outline-3">
|
||||
<h3 id="org6babc5e"><span class="section-number-3">4.1</span> Computation of coherence from PSD and CSD</h3>
|
||||
<div class="outline-text-3" id="text-4-1">
|
||||
<p>
|
||||
<a id="orgc9ed210"></a>
|
||||
<a id="org956da99"></a>
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_001.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
@ -848,7 +868,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgea88bec" class="figure">
|
||||
<div id="orgdd25190" class="figure">
|
||||
<p><img src="figs/comp_coherence_formula.png" alt="comp_coherence_formula.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 16: </span>Comparison of <code>mscohere</code> and manual computation</p>
|
||||
@ -865,8 +885,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</p>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-05-03 ven. 11:32</p>
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-05-10 ven. 14:24</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
|
||||
@ -1,22 +1,5 @@
|
||||
#+TITLE:Huddle Test of the L22 Geophones
|
||||
:DRAWER:
|
||||
#+STARTUP: overview
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :results output
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:END:
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Experimental Setup
|
||||
Two L22 geophones are used.
|
||||
@ -31,23 +14,40 @@ The voltage amplifiers includes:
|
||||
#+name: fig:figure_name
|
||||
#+caption: Setup
|
||||
#+attr_html: :width 500px
|
||||
[[file:./figs/setup.jpg]]
|
||||
[[file:./img/setup.jpg]]
|
||||
|
||||
#+name: fig:figure_name
|
||||
#+caption: Geophones
|
||||
#+attr_html: :width 500px
|
||||
[[file:./figs/geophones.jpg]]
|
||||
[[file:./img/geophones.jpg]]
|
||||
|
||||
* Signal Processing
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle signal_processing.m
|
||||
:header-args:matlab+: :tangle matlab/huddle_test_signal_processing.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
The Matlab computing file for this part is accessible [[file:signal_processing.m][here]].
|
||||
The =mat= file containing the measurement data is accessible [[file:mat/data_001.mat][here]].
|
||||
<<sec:huddle_test_signal_processing>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/huddle_test_signal_processing.m -nt data/huddle_test_signal_processing.zip ]; then
|
||||
cp matlab/huddle_test_signal_processing.m huddle_test_signal_processing.m;
|
||||
zip data/huddle_test_signal_processing \
|
||||
mat/data_001.mat \
|
||||
huddle_test_signal_processing.m;
|
||||
rm huddle_test_signal_processing.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/huddle_test_signal_processing.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
@ -407,17 +407,33 @@ This is then further converted into velocity and compared with the ground veloci
|
||||
|
||||
* Compare axis
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle compare_axis.m
|
||||
:header-args:matlab+: :tangle matlab/huddle_test_compare_axis.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
The Matlab computing file for this part is accessible [[file:compare_axis.m][here]].
|
||||
The =mat= files containing the measurement data are accessible with the following links:
|
||||
- z axis: [[file:mat/data_001.mat][here]].
|
||||
- east axis: [[file:mat/data_002.mat][here]].
|
||||
- north axis: [[file:mat/data_003.mat][here]].
|
||||
<<sec:huddle_test_compare_axis>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/huddle_test_compare_axis.m -nt data/huddle_test_compare_axis.zip ]; then
|
||||
cp matlab/huddle_test_compare_axis.m huddle_test_compare_axis.m;
|
||||
zip data/huddle_test_compare_axis \
|
||||
mat/data_001.mat \
|
||||
mat/data_002.mat \
|
||||
mat/data_003.mat \
|
||||
huddle_test_compare_axis.m;
|
||||
rm huddle_test_compare_axis.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/huddle_test_compare_axis.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
|
||||
@ -1,5 +1,10 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/huddle-test-geophones/';
|
||||
%% Go to current Directory
|
||||
cd(current_dir);
|
||||
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
@ -1,5 +1,10 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/huddle-test-geophones/';
|
||||
%% Go to current Directory
|
||||
cd(current_dir);
|
||||
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
@ -47,24 +52,44 @@ xlim([0 1]);
|
||||
% Computation of the ASD of the measured voltage
|
||||
% We first define the parameters for the frequency domain analysis.
|
||||
|
||||
win = hanning(ceil(length(x1)/100));
|
||||
Fs = 1/dt;
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
|
||||
|
||||
% Then we compute the Power Spectral Density using =pwelch= function.
|
||||
|
||||
[pxx1, f] = pwelch(x1, win, [], [], Fs);
|
||||
[pxx2, ~] = pwelch(x2, win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% And we plot the result on figure [[fig:asd_voltage]].
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxx1));
|
||||
plot(f, sqrt(pxx2));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]);
|
||||
|
||||
% Scaling to take into account the sensibility of the geophone and the voltage amplifier
|
||||
% The Geophone used are L22.
|
||||
% Their sensibility are shown on figure [[fig:geophone_sensibility]].
|
||||
% The Geophone used are L22. Their sensibility is shown on figure [[fig:geophone_sensibility]].
|
||||
|
||||
|
||||
S0 = 88; % Sensitivity [V/(m/s)]
|
||||
f0 = 2; % Cut-off frequnecy [Hz]
|
||||
S = (s/2/pi/f0)/(1+s/2/pi/f0);
|
||||
|
||||
S = S0*(s/2/pi/f0)/(1+s/2/pi/f0);
|
||||
|
||||
figure;
|
||||
bodeFig({S});
|
||||
ylabel('Amplitude [V/(m/s)]')
|
||||
bodeFig({S}, logspace(-1, 2, 1000));
|
||||
ylabel('Amplitude $\left[\frac{V}{m/s}\right]$')
|
||||
|
||||
|
||||
|
||||
@ -75,20 +100,19 @@ ylabel('Amplitude [V/(m/s)]')
|
||||
|
||||
|
||||
% We also take into account the gain of the electronics which is here set to be $60dB$.
|
||||
% The amplifiers also include a low pass filter with a cut-off frequency set at 1kHz.
|
||||
|
||||
|
||||
G0 = 60; % [dB]
|
||||
G0_db = 60; % [dB]
|
||||
|
||||
G = 10^(G0/20)/(1+s/2/pi/1000);
|
||||
G0 = 10^(60/G0_db); % [abs]
|
||||
|
||||
|
||||
|
||||
% We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the transfer function of the voltage amplifier to obtain the ASD of the voltage across the geophone.
|
||||
% We divide the ASD measured (in $\text{V}/\sqrt{\text{Hz}}$) by the gain of the voltage amplifier to obtain the ASD of the voltage across the geophone.
|
||||
% We further divide the result by the sensibility of the Geophone to obtain the ASD of the velocity in $m/s/\sqrt{Hz}$.
|
||||
|
||||
|
||||
scaling = 1./squeeze(abs(freqresp(G*S, f, 'Hz')));
|
||||
scaling = 1./squeeze(abs(freqresp(G0*S, f, 'Hz')));
|
||||
|
||||
% Computation of the ASD of the velocity
|
||||
% The ASD of the measured velocity is shown on figure [[fig:psd_velocity]].
|
||||
@ -101,13 +125,13 @@ plot(f, sqrt(pxx2).*scaling);
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('PSD [m/s/sqrt(Hz)]')
|
||||
xlim([2, 500]);
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]);
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:psd_velocity
|
||||
% #+CAPTION: Spectral density of the velocity
|
||||
% #+CAPTION: Amplitude Spectral Density of the Velocity
|
||||
% #+RESULTS: fig:psd_velocity
|
||||
% [[file:figs/psd_velocity.png]]
|
||||
|
||||
@ -116,12 +140,12 @@ xlim([2, 500]);
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, (pxx1.*scaling./f).^2);
|
||||
plot(f, (pxx2.*scaling./f).^2);
|
||||
plot(f, (sqrt(pxx1).*scaling)./(2*pi*f));
|
||||
plot(f, (sqrt(pxx2).*scaling)./(2*pi*f));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('PSD [m/s/sqrt(Hz)]')
|
||||
xlim([2, 500]);
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the displacement $\left[\frac{m}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]);
|
||||
|
||||
% Transfer function between the two geophones
|
||||
% We here compute the transfer function from one geophone to the other.
|
||||
@ -144,10 +168,10 @@ plot(f, mod(180+180/pi*phase(T12), 360)-180);
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
xlim([0.1, 500]);
|
||||
|
||||
|
||||
|
||||
@ -163,7 +187,7 @@ figure;
|
||||
plot(f, coh12);
|
||||
set(gca, 'xscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Coherence');
|
||||
ylim([0,1]); xlim([1, 500]);
|
||||
ylim([0,1]); xlim([0.1, 500]);
|
||||
|
||||
% Estimation of the sensor noise
|
||||
% The technique to estimate the sensor noise is taken from cite:barzilai98_techn_measur_noise_sensor_presen.
|
||||
@ -196,7 +220,7 @@ ylim([0,1]); xlim([1, 500]);
|
||||
% [[file:figs/huddle-test.png]]
|
||||
|
||||
% We here assume that each sensor has the same magnitude of instrumental noise ($N = M$).
|
||||
% We also assume that $H_1 = H_2 = 1$.
|
||||
% We also assume that $S_1 = S_2 = 1$.
|
||||
|
||||
% We then obtain:
|
||||
% #+NAME: eq:coh_bis
|
||||
@ -229,8 +253,8 @@ plot(f, pxx2, '-');
|
||||
plot(f, pxxN, 'k--');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('PSD [$V^2/Hz$]');
|
||||
xlim([1, 500]);
|
||||
xlabel('Frequency [Hz]'); ylabel('PSD of the measured Voltage $\left[\frac{V^2}{Hz}\right]$');
|
||||
xlim([0.1, 500]);
|
||||
|
||||
|
||||
|
||||
@ -248,5 +272,5 @@ plot(f, sqrt(pxx2).*scaling, '-');
|
||||
plot(f, sqrt(pxxN).*scaling, 'k--');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('PSD [$m/s/\sqrt{Hz}$]');
|
||||
xlim([1, 500]);
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the Velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$');
|
||||
xlim([0.1, 500]);
|
||||
@ -1,47 +0,0 @@
|
||||
tg = slrt;
|
||||
|
||||
%% TODO - Build this application if updated
|
||||
|
||||
%%
|
||||
if tg.Connected == "Yes"
|
||||
if tg.Status == "stopped"
|
||||
%% Load the application
|
||||
tg.load('test');
|
||||
|
||||
%% Run the application
|
||||
tg.start;
|
||||
pause(10);
|
||||
tg.stop;
|
||||
|
||||
%% Load the data
|
||||
f = SimulinkRealTime.openFTP(tg);
|
||||
mget(f, 'data/data_001.dat');
|
||||
close(f);
|
||||
end
|
||||
end
|
||||
|
||||
%% Convert the Data
|
||||
data = SimulinkRealTime.utils.getFileScopeData('data/data_001.dat').data;
|
||||
|
||||
t = data(:, end);
|
||||
x1 = data(:, 1);
|
||||
x2 = data(:, 2);
|
||||
|
||||
save('mat/data_003.mat', 't', 'x1', 'x2');
|
||||
|
||||
%% Plot the data
|
||||
figure;
|
||||
hold on;
|
||||
plot(t, x1);
|
||||
plot(t, x2);
|
||||
hold off
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
|
||||
%% Compute the PSD
|
||||
dt = t(2)-t(1);
|
||||
|
||||
window_L = ceil(length(x1)/10);
|
||||
window_han = .5*(1 - cos(2*pi*(1:window_L)'/(window_L+1)));
|
||||
|
||||
[pxx, f] = pwelch(x1, window_han, 0, [], 1/dt);
|
||||
@ -1 +0,0 @@
|
||||
Ts = 1e-3; % [s]
|
||||
23
index.org
23
index.org
@ -29,9 +29,11 @@ Dynamics of the station is evaluated using instrumented hammer and accelerometer
|
||||
- Obtain a first estimation of resonance frequencies
|
||||
|
||||
*** Results
|
||||
Resonances have been identified at 45Hz and 75Hz.
|
||||
However, the quality of the measurements are bad at low frequency.
|
||||
New measurements should be done with Geophones.
|
||||
#+begin_important
|
||||
- Resonances have been identified at 45Hz and 75Hz
|
||||
- However, the quality of the measurements are bad at low frequency
|
||||
- New measurements should be done with Geophones
|
||||
#+end_important
|
||||
|
||||
** Measurement 2
|
||||
[[file:2018-01-12%20-%20Marc/index.org][Link to the analysis]]
|
||||
@ -47,10 +49,12 @@ New measurements should be done with Geophones.
|
||||
Obtain better coherence at low frequency.
|
||||
|
||||
*** Results
|
||||
Resonances at 42Hz, 70Hz and 125Hz have been identified.
|
||||
The coherence is much better than when using accelerometers.
|
||||
#+begin_important
|
||||
- Resonances at 42Hz, 70Hz and 125Hz have been identified
|
||||
- The coherence is much better than when using accelerometers
|
||||
#+end_important
|
||||
|
||||
** Measurement 3
|
||||
** TODO Measurement 3
|
||||
[[file:2018-10-12%20-%20Marc/index.org][Link to the analysis]]
|
||||
|
||||
*** Notes
|
||||
@ -64,6 +68,9 @@ The station is now installed on the experimental hutch with a glued granite (fin
|
||||
The station is identified again.
|
||||
|
||||
*** Results
|
||||
#+begin_important
|
||||
|
||||
#+end_important
|
||||
|
||||
* Measurements of perturbations
|
||||
** Noise coming from the control loop of each stage
|
||||
@ -129,11 +136,11 @@ The goal is to estimate all the error motions induced by the Spindle
|
||||
*** Results
|
||||
|
||||
* Ressources
|
||||
[[file:actuators-sensors/index.org][Actuators and Sensors]]
|
||||
- [[file:actuators-sensors/index.org][Actuators and Sensors]]
|
||||
- [[file:equipment/equipment.org][Equipment used for the measurements]]
|
||||
|
||||
* Other measurements
|
||||
- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
|
||||
- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
|
||||
- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
|
||||
- [[file:static-measurements/index.org][Control System Measurement]]
|
||||
- [[file:equipment/equipment.org][Equipment used for the measurements]]
|
||||
|
||||
|
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|
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|
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972
instrumentation/index.html
Normal file
972
instrumentation/index.html
Normal file
@ -0,0 +1,972 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
|
||||
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
|
||||
<head>
|
||||
<!-- 2019-05-10 ven. 10:07 -->
|
||||
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1" />
|
||||
<title>Measurements on the instrumentation</title>
|
||||
<meta name="generator" content="Org mode" />
|
||||
<meta name="author" content="Thomas Dehaeze" />
|
||||
<style type="text/css">
|
||||
<!--/*--><![CDATA[/*><!--*/
|
||||
.title { text-align: center;
|
||||
margin-bottom: .2em; }
|
||||
.subtitle { text-align: center;
|
||||
font-size: medium;
|
||||
font-weight: bold;
|
||||
margin-top:0; }
|
||||
.todo { font-family: monospace; color: red; }
|
||||
.done { font-family: monospace; color: green; }
|
||||
.priority { font-family: monospace; color: orange; }
|
||||
.tag { background-color: #eee; font-family: monospace;
|
||||
padding: 2px; font-size: 80%; font-weight: normal; }
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</head>
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<body>
|
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<div id="content">
|
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<h1 class="title">Measurements on the instrumentation</h1>
|
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<div id="table-of-contents">
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#org9b0dd42">1. Measure of the noise of the Voltage Amplifier</a>
|
||||
<ul>
|
||||
<li><a href="#org494f3b2">1.1. Measurement Description</a></li>
|
||||
<li><a href="#orgf9402f3">1.2. Load data</a></li>
|
||||
<li><a href="#orgd0212e2">1.3. Time Domain</a></li>
|
||||
<li><a href="#org18fa6ce">1.4. Frequency Domain</a></li>
|
||||
<li><a href="#org36eaef7">1.5. Conclusion</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org15e4c95">2. Measure of the influence of the AC/DC option on the voltage amplifiers</a>
|
||||
<ul>
|
||||
<li><a href="#org313898e">2.1. Measurement Description</a></li>
|
||||
<li><a href="#org86b59a1">2.2. Load data</a></li>
|
||||
<li><a href="#org22f801c">2.3. Time Domain</a></li>
|
||||
<li><a href="#orgbd72638">2.4. Frequency Domain</a></li>
|
||||
<li><a href="#org2647596">2.5. Conclusion</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org9623ca1">3. Transfer function of the Low Pass Filter</a>
|
||||
<ul>
|
||||
<li><a href="#org921fe36">3.1. First LPF with a Cut-off frequency of 160Hz</a>
|
||||
<ul>
|
||||
<li><a href="#org122c7a6">3.1.1. Measurement Description</a></li>
|
||||
<li><a href="#orgba94437">3.1.2. Load data</a></li>
|
||||
<li><a href="#org087582c">3.1.3. Transfer function of the LPF</a></li>
|
||||
<li><a href="#orgf2dc541">3.1.4. Conclusion</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#orgd6132bd">3.2. Second LPF with a Cut-off frequency of 1000Hz</a>
|
||||
<ul>
|
||||
<li><a href="#org76b4e0d">3.2.1. Measurement description</a></li>
|
||||
<li><a href="#org2941697">3.2.2. Load data</a></li>
|
||||
<li><a href="#org45462d2">3.2.3. Transfer function of the LPF</a></li>
|
||||
<li><a href="#org438a172">3.2.4. Conclusion</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9b0dd42" class="outline-2">
|
||||
<h2 id="org9b0dd42"><span class="section-number-2">1</span> Measure of the noise of the Voltage Amplifier</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
<a id="orgbd691e3"></a>
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The data and matlab files are accessible <a href="data/meas_volt_amp.zip">here</a>.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org494f3b2" class="outline-3">
|
||||
<h3 id="org494f3b2"><span class="section-number-3">1.1</span> Measurement Description</h3>
|
||||
<div class="outline-text-3" id="text-1-1">
|
||||
<p>
|
||||
<b>Goal</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Determine the Voltage Amplifier noise</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
<b>Setup</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>The two inputs (differential) of the voltage amplifier are shunted with 50Ohms</li>
|
||||
<li>The AC/DC option of the Voltage amplifier is on AC</li>
|
||||
<li>The low pass filter is set to 1hHz</li>
|
||||
<li>We measure the output of the voltage amplifier with a 16bits ADC of the Speedgoat</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
<b>Measurements</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li><code>data_003</code>: Ampli OFF</li>
|
||||
<li><code>data_004</code>: Ampli ON set to 20dB</li>
|
||||
<li><code>data_005</code>: Ampli ON set to 40dB</li>
|
||||
<li><code>data_006</code>: Ampli ON set to 60dB</li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf9402f3" class="outline-3">
|
||||
<h3 id="orgf9402f3"><span class="section-number-3">1.2</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-1-2">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">amp_off = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_003.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; amp_off = amp_off.data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>,<span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
amp_20d = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_004.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; amp_20d = amp_20d.data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>,<span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
amp_40d = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_005.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; amp_40d = amp_40d.data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>,<span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
amp_60d = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_006.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; amp_60d = amp_60d.data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>,<span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgd0212e2" class="outline-3">
|
||||
<h3 id="orgd0212e2"><span class="section-number-3">1.3</span> Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-1-3">
|
||||
<p>
|
||||
The time domain signals are shown on figure <a href="#org98f097d">1</a>.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org98f097d" class="figure">
|
||||
<p><img src="figs/ampli_noise_time.png" alt="ampli_noise_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Output of the amplifier</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org18fa6ce" class="outline-3">
|
||||
<h3 id="org18fa6ce"><span class="section-number-3">1.4</span> Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-1-4">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = amp_off<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>amp_off<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxoff, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>amp_off<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>,<span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px20d, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>amp_20d<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>,<span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px40d, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>amp_40d<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>,<span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px60d, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>amp_60d<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>,<span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We compute the theoretical ADC noise.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">q = <span class="org-highlight-numbers-number">20</span><span class="org-type">/</span><span class="org-highlight-numbers-number">2</span><span class="org-type">^</span><span class="org-highlight-numbers-number">16</span>; <span class="org-comment">% quantization</span>
|
||||
Sq = q<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-type">/</span><span class="org-highlight-numbers-number">12</span><span class="org-type">/</span><span class="org-highlight-numbers-number">1000</span>; <span class="org-comment">% PSD of the ADC noise</span>
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
Finally, the ASD is shown on figure <a href="#orga4734ea">2</a>.
|
||||
</p>
|
||||
|
||||
<div id="orga4734ea" class="figure">
|
||||
<p><img src="figs/ampli_noise_psd.png" alt="ampli_noise_psd.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Amplitude Spectral Density of the measured voltage at the output of the voltage amplifier</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org36eaef7" class="outline-3">
|
||||
<h3 id="org36eaef7"><span class="section-number-3">1.5</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-1-5">
|
||||
<div class="important">
|
||||
<p>
|
||||
<b>Questions</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Where does those sharp peaks comes from? Can this be due to aliasing?</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
Noise induced by the voltage amplifiers seems not to be a limiting factor as we have the same noise when they are OFF and ON.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org15e4c95" class="outline-2">
|
||||
<h2 id="org15e4c95"><span class="section-number-2">2</span> Measure of the influence of the AC/DC option on the voltage amplifiers</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<p>
|
||||
<a id="org1e85a61"></a>
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The data and matlab files are accessible <a href="data/meas_noise_ac_dc.zip">here</a>.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org313898e" class="outline-3">
|
||||
<h3 id="org313898e"><span class="section-number-3">2.1</span> Measurement Description</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<p>
|
||||
<b>Goal</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Measure the influence of the high-pass filter option of the voltage amplifiers</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
<b>Setup</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>One geophone is located on the marble.</li>
|
||||
<li>It's signal goes to two voltage amplifiers with a gain of 60dB.</li>
|
||||
<li>One voltage amplifier is on the AC option, the other is on the DC option.</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
<b>Measurements</b>:
|
||||
First measurement (<code>mat/data_014.mat</code> file):
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Signal</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Amplifier 1 with AC option</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Amplifier 2 with DC option</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
<p>
|
||||
Second measurement (<code>mat/data_015.mat</code> file):
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Signal</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Amplifier 1 with DC option</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Amplifier 2 with AC option</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
|
||||
<div id="org6faa1f8" class="figure">
|
||||
<p><img src="./img/IMG_20190503_170936.jpg" alt="IMG_20190503_170936.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Picture of the two voltages amplifiers</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org86b59a1" class="outline-3">
|
||||
<h3 id="org86b59a1"><span class="section-number-3">2.2</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">meas14 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_014.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; meas14 = meas14.data;
|
||||
meas15 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_015.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; meas15 = meas15.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org22f801c" class="outline-3">
|
||||
<h3 id="org22f801c"><span class="section-number-3">2.3</span> Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
The signals are shown on figure <a href="#org4a464f5">4</a>.
|
||||
</p>
|
||||
|
||||
<div id="org4a464f5" class="figure">
|
||||
<p><img src="figs/ac_dc_option_time.png" alt="ac_dc_option_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Comparison of the signals going through the Voltage amplifiers</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgbd72638" class="outline-3">
|
||||
<h3 id="orgbd72638"><span class="section-number-3">2.4</span> Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = meas14<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>meas14<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxamp1ac, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>meas14<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxamp2dc, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>meas14<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxamp1dc, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>meas15<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxamp2ac, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>meas15<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
The ASD of the signals are compare on figure <a href="#org73d3360">5</a>.
|
||||
</p>
|
||||
|
||||
<div id="org73d3360" class="figure">
|
||||
<p><img src="figs/ac_dc_option_asd.png" alt="ac_dc_option_asd.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Amplitude Spectral Density of the measured signals</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org2647596" class="outline-3">
|
||||
<h3 id="org2647596"><span class="section-number-3">2.5</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-2-5">
|
||||
<div class="important">
|
||||
<ul class="org-ul">
|
||||
<li>The voltage amplifiers include some very sharp high pass filters at 1.5Hz (maybe 4th order)</li>
|
||||
<li>There is a DC offset on the time domain signal because the DC-offset knob was not set to zero</li>
|
||||
</ul>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org9623ca1" class="outline-2">
|
||||
<h2 id="org9623ca1"><span class="section-number-2">3</span> Transfer function of the Low Pass Filter</h2>
|
||||
<div class="outline-text-2" id="text-3">
|
||||
<p>
|
||||
<a id="org5eb1733"></a>
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The computation files for this section are accessible <a href="data/low_pass_filter_measurements.zip">here</a>.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org921fe36" class="outline-3">
|
||||
<h3 id="org921fe36"><span class="section-number-3">3.1</span> First LPF with a Cut-off frequency of 160Hz</h3>
|
||||
<div class="outline-text-3" id="text-3-1">
|
||||
</div>
|
||||
<div id="outline-container-org122c7a6" class="outline-4">
|
||||
<h4 id="org122c7a6"><span class="section-number-4">3.1.1</span> Measurement Description</h4>
|
||||
<div class="outline-text-4" id="text-3-1-1">
|
||||
<p>
|
||||
<b>Goal</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>Measure the Low Pass Filter Transfer Function</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
The values of the components are:
|
||||
</p>
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 1\mu F
|
||||
\end{aligned}
|
||||
<p>
|
||||
Which makes a cut-off frequency of \(f_c = \frac{1}{RC} = 1000 rad/s = 160Hz\).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-latex" id="org336f6c8"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>}
|
||||
<span class="org-font-latex-sedate">\draw</span> (0,2)
|
||||
to [R=<span class="org-font-latex-sedate"><span class="org-font-latex-math">\(R\)</span></span>] ++(2,0) node[circ]
|
||||
to ++(2,0)
|
||||
++(-2,0)
|
||||
to [C=<span class="org-font-latex-sedate"><span class="org-font-latex-math">\(C\)</span></span>] ++(0,-2) node[circ]
|
||||
++(-2,0)
|
||||
to ++(2,0)
|
||||
to ++(2,0)
|
||||
<span class="org-font-latex-sedate"><span class="org-keyword">\end</span></span>{<span class="org-function-name">tikzpicture</span>}
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgda67620" class="figure">
|
||||
<p><img src="figs/lpf.png" alt="lpf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Schematic of the Low Pass Filter used</p>
|
||||
</div>
|
||||
|
||||
|
||||
<p>
|
||||
<b>Setup</b>:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>We are measuring the signal from from Geophone with a BNC T</li>
|
||||
<li>On part goes to column 1 through the LPF</li>
|
||||
<li>The other part goes to column 2 without the LPF</li>
|
||||
</ul>
|
||||
|
||||
<p>
|
||||
<b>Measurements</b>:
|
||||
<code>mat/data_018.mat</code>:
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Signal</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Amplifier 1 with LPF</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Amplifier 2</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
|
||||
<div id="org5022f0b" class="figure">
|
||||
<p><img src="./img/IMG_20190507_102756.jpg" alt="IMG_20190507_102756.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Picture of the low pass filter used</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgba94437" class="outline-4">
|
||||
<h4 id="orgba94437"><span class="section-number-4">3.1.2</span> Load data</h4>
|
||||
<div class="outline-text-4" id="text-3-1-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">data = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_018.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; data = data.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org087582c" class="outline-4">
|
||||
<h4 id="org087582c"><span class="section-number-4">3.1.3</span> Transfer function of the LPF</h4>
|
||||
<div class="outline-text-4" id="text-3-1-3">
|
||||
<p>
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>Glpf, f<span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of \(1000rad/s\).
|
||||
We obtain the result on figure <a href="#orgeb8ea3c">8</a>.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">Gth = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">+</span>s<span class="org-type">/</span><span class="org-highlight-numbers-number">1000</span><span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
ax1 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>Glpf<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>squeeze<span class="org-rainbow-delimiters-depth-3">(</span>freqresp<span class="org-rainbow-delimiters-depth-4">(</span>Gth, f, <span class="org-string">'Hz'</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; set</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">gca, 'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'XTickLabel'</span>,<span class="org-rainbow-delimiters-depth-2">[]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Magnitude'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
ax2 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, mod<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">180</span><span class="org-type">+</span><span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase<span class="org-rainbow-delimiters-depth-3">(</span>Glpf<span class="org-rainbow-delimiters-depth-3">)</span>, <span class="org-highlight-numbers-number">360</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, <span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>unwrap<span class="org-rainbow-delimiters-depth-2">(</span>angle<span class="org-rainbow-delimiters-depth-3">(</span>squeeze<span class="org-rainbow-delimiters-depth-4">(</span>freqresp<span class="org-rainbow-delimiters-depth-5">(</span>Gth, f, <span class="org-string">'Hz'</span><span class="org-rainbow-delimiters-depth-5">)</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
yticks<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-type">-</span><span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Phase'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
linkaxes<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span>ax1,ax2<span class="org-rainbow-delimiters-depth-2">]</span>,<span class="org-string">'x'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgeb8ea3c" class="figure">
|
||||
<p><img src="figs/Glpf_bode.png" alt="Glpf_bode.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Bode Diagram of the measured Low Pass filter and the theoritical one</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="outline-container-orgf2dc541" class="outline-4">
|
||||
<h4 id="orgf2dc541"><span class="section-number-4">3.1.4</span> Conclusion</h4>
|
||||
<div class="outline-text-4" id="text-3-1-4">
|
||||
<div class="important">
|
||||
<p>
|
||||
As we want to measure things up to \(500Hz\), we chose to change the value of the capacitor to obtain a cut-off frequency of \(1kHz\).
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgd6132bd" class="outline-3">
|
||||
<h3 id="orgd6132bd"><span class="section-number-3">3.2</span> Second LPF with a Cut-off frequency of 1000Hz</h3>
|
||||
<div class="outline-text-3" id="text-3-2">
|
||||
</div>
|
||||
<div id="outline-container-org76b4e0d" class="outline-4">
|
||||
<h4 id="org76b4e0d"><span class="section-number-4">3.2.1</span> Measurement description</h4>
|
||||
<div class="outline-text-4" id="text-3-2-1">
|
||||
<p>
|
||||
This time, the value are
|
||||
</p>
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 150nF
|
||||
\end{aligned}
|
||||
<p>
|
||||
Which makes a low pass filter with a cut-off frequency of \(f_c = 1060Hz\).
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org2941697" class="outline-4">
|
||||
<h4 id="org2941697"><span class="section-number-4">3.2.2</span> Load data</h4>
|
||||
<div class="outline-text-4" id="text-3-2-2">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">data = load<span class="org-rainbow-delimiters-depth-1">(</span>'mat<span class="org-type">/</span>data_019.mat', <span class="org-string">'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; data = data.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org45462d2" class="outline-4">
|
||||
<h4 id="org45462d2"><span class="section-number-4">3.2.3</span> Transfer function of the LPF</h4>
|
||||
<div class="outline-text-4" id="text-3-2-3">
|
||||
<p>
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>Glpf, f<span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of \(1060Hz\).
|
||||
We obtain the result on figure <a href="#org19f2e2d">9</a>.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">Gth = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">+</span>s<span class="org-type">/</span><span class="org-highlight-numbers-number">1060</span><span class="org-type">/</span><span class="org-highlight-numbers-number">2</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
ax1 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>Glpf<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>squeeze<span class="org-rainbow-delimiters-depth-3">(</span>freqresp<span class="org-rainbow-delimiters-depth-4">(</span>Gth, f, <span class="org-string">'Hz'</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; set</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">gca, 'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'XTickLabel'</span>,<span class="org-rainbow-delimiters-depth-2">[]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Magnitude'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
ax2 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, mod<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">180</span><span class="org-type">+</span><span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase<span class="org-rainbow-delimiters-depth-3">(</span>Glpf<span class="org-rainbow-delimiters-depth-3">)</span>, <span class="org-highlight-numbers-number">360</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, <span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>unwrap<span class="org-rainbow-delimiters-depth-2">(</span>angle<span class="org-rainbow-delimiters-depth-3">(</span>squeeze<span class="org-rainbow-delimiters-depth-4">(</span>freqresp<span class="org-rainbow-delimiters-depth-5">(</span>Gth, f, <span class="org-string">'Hz'</span><span class="org-rainbow-delimiters-depth-5">)</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
yticks<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-type">-</span><span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Phase'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
linkaxes<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span>ax1,ax2<span class="org-rainbow-delimiters-depth-2">]</span>,<span class="org-string">'x'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org19f2e2d" class="figure">
|
||||
<p><img src="figs/Glpf_bode_bis.png" alt="Glpf_bode_bis.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Bode Diagram of the measured Low Pass filter and the theoritical one</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="outline-container-org438a172" class="outline-4">
|
||||
<h4 id="org438a172"><span class="section-number-4">3.2.4</span> Conclusion</h4>
|
||||
<div class="outline-text-4" id="text-3-2-4">
|
||||
<div class="important">
|
||||
<p>
|
||||
The added LPF has the expected behavior.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-05-10 ven. 10:07</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
510
instrumentation/index.org
Normal file
510
instrumentation/index.org
Normal file
@ -0,0 +1,510 @@
|
||||
#+TITLE: Measurements on the instrumentation
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
* Measure of the noise of the Voltage Amplifier
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/meas_volt_amp.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_volt_amp>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_volt_amp.m -nt data/meas_volt_amp.zip ]; then
|
||||
zip data/meas_volt_amp \
|
||||
mat/data_003.mat \
|
||||
mat/data_004.mat \
|
||||
mat/data_005.mat \
|
||||
mat/data_006.mat \
|
||||
meas_volt_amp.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_volt_amp.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Measurement Description
|
||||
*Goal*:
|
||||
- Determine the Voltage Amplifier noise
|
||||
|
||||
*Setup*:
|
||||
- The two inputs (differential) of the voltage amplifier are shunted with 50Ohms
|
||||
- The AC/DC option of the Voltage amplifier is on AC
|
||||
- The low pass filter is set to 1hHz
|
||||
- We measure the output of the voltage amplifier with a 16bits ADC of the Speedgoat
|
||||
|
||||
*Measurements*:
|
||||
- =data_003=: Ampli OFF
|
||||
- =data_004=: Ampli ON set to 20dB
|
||||
- =data_005=: Ampli ON set to 40dB
|
||||
- =data_006=: Ampli ON set to 60dB
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
#+begin_src matlab :results none
|
||||
amp_off = load('mat/data_003.mat', 'data'); amp_off = amp_off.data(:, [1,3]);
|
||||
amp_20d = load('mat/data_004.mat', 'data'); amp_20d = amp_20d.data(:, [1,3]);
|
||||
amp_40d = load('mat/data_005.mat', 'data'); amp_40d = amp_40d.data(:, [1,3]);
|
||||
amp_60d = load('mat/data_006.mat', 'data'); amp_60d = amp_60d.data(:, [1,3]);
|
||||
#+end_src
|
||||
|
||||
** Time Domain
|
||||
The time domain signals are shown on figure [[fig:ampli_noise_time]].
|
||||
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(amp_off(:, 2), amp_off(:, 1), 'DisplayName', 'OFF');
|
||||
plot(amp_20d(:, 2), amp_20d(:, 1), 'DisplayName', '20dB');
|
||||
plot(amp_40d(:, 2), amp_40d(:, 1), 'DisplayName', '40dB');
|
||||
plot(amp_60d(:, 2), amp_60d(:, 1), 'DisplayName', '60dB');
|
||||
hold off;
|
||||
legend('Location', 'northeast');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ampli_noise_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_time
|
||||
#+CAPTION: Output of the amplifier
|
||||
#+RESULTS: fig:ampli_noise_time
|
||||
[[file:figs/ampli_noise_time.png]]
|
||||
|
||||
** Frequency Domain
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
#+begin_src matlab :results none
|
||||
dt = amp_off(2, 2)-amp_off(1, 2);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
Then we compute the Power Spectral Density using =pwelch= function.
|
||||
#+begin_src matlab :results none
|
||||
[pxoff, f] = pwelch(amp_off(:,1), win, [], [], Fs);
|
||||
[px20d, ~] = pwelch(amp_20d(:,1), win, [], [], Fs);
|
||||
[px40d, ~] = pwelch(amp_40d(:,1), win, [], [], Fs);
|
||||
[px60d, ~] = pwelch(amp_60d(:,1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compute the theoretical ADC noise.
|
||||
#+begin_src matlab :results none
|
||||
q = 20/2^16; % quantization
|
||||
Sq = q^2/12/1000; % PSD of the ADC noise
|
||||
#+end_src
|
||||
|
||||
Finally, the ASD is shown on figure [[fig:ampli_noise_psd]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxoff), 'DisplayName', 'OFF');
|
||||
plot(f, sqrt(px20d), 'DisplayName', '20dB');
|
||||
plot(f, sqrt(px40d), 'DisplayName', '40dB');
|
||||
plot(f, sqrt(px60d), 'DisplayName', '60dB');
|
||||
plot([0.1, 500], [sqrt(Sq), sqrt(Sq)], 'k--');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_psd
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ampli_noise_psd.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_psd
|
||||
#+CAPTION: Amplitude Spectral Density of the measured voltage at the output of the voltage amplifier
|
||||
#+RESULTS: fig:ampli_noise_psd
|
||||
[[file:figs/ampli_noise_psd.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
*Questions*:
|
||||
- Where does those sharp peaks comes from? Can this be due to aliasing?
|
||||
|
||||
Noise induced by the voltage amplifiers seems not to be a limiting factor as we have the same noise when they are OFF and ON.
|
||||
#+end_important
|
||||
|
||||
* Measure of the influence of the AC/DC option on the voltage amplifiers
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/meas_noise_ac_dc.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_noise_ac_dc>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_noise_ac_dc.m -nt data/meas_noise_ac_dc.zip ]; then
|
||||
zip data/meas_noise_ac_dc \
|
||||
mat/data_012.mat \
|
||||
mat/data_013.mat \
|
||||
meas_noise_ac_dc.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_noise_ac_dc.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Measurement Description
|
||||
*Goal*:
|
||||
- Measure the influence of the high-pass filter option of the voltage amplifiers
|
||||
|
||||
*Setup*:
|
||||
- One geophone is located on the marble.
|
||||
- It's signal goes to two voltage amplifiers with a gain of 60dB.
|
||||
- One voltage amplifier is on the AC option, the other is on the DC option.
|
||||
|
||||
*Measurements*:
|
||||
First measurement (=mat/data_014.mat= file):
|
||||
| Column | Signal |
|
||||
|--------+----------------------------|
|
||||
| 1 | Amplifier 1 with AC option |
|
||||
| 2 | Amplifier 2 with DC option |
|
||||
| 3 | Time |
|
||||
|
||||
Second measurement (=mat/data_015.mat= file):
|
||||
| Column | Signal |
|
||||
|--------+----------------------------|
|
||||
| 1 | Amplifier 1 with DC option |
|
||||
| 2 | Amplifier 2 with AC option |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:volt_amp_setup
|
||||
#+caption: Picture of the two voltages amplifiers
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190503_170936.jpg]]
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
meas14 = load('mat/data_014.mat', 'data'); meas14 = meas14.data;
|
||||
meas15 = load('mat/data_015.mat', 'data'); meas15 = meas15.data;
|
||||
#+end_src
|
||||
|
||||
** Time Domain
|
||||
The signals are shown on figure [[fig:ac_dc_option_time]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(meas14(:, 3), meas14(:, 1), 'DisplayName', 'Amp1 - AC');
|
||||
plot(meas14(:, 3), meas14(:, 2), 'DisplayName', 'Amp2 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 1), 'DisplayName', 'Amp1 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 2), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
legend('Location', 'bestoutside');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
xlim([0, 100]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ac_dc_option_time.pdf" :var figsize="full-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_time
|
||||
#+CAPTION: Comparison of the signals going through the Voltage amplifiers
|
||||
#+RESULTS: fig:ac_dc_option_time
|
||||
[[file:figs/ac_dc_option_time.png]]
|
||||
|
||||
** Frequency Domain
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
#+begin_src matlab :results none
|
||||
dt = meas14(2, 3)-meas14(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
Then we compute the Power Spectral Density using =pwelch= function.
|
||||
#+begin_src matlab :results none
|
||||
[pxamp1ac, f] = pwelch(meas14(:, 1), win, [], [], Fs);
|
||||
[pxamp2dc, ~] = pwelch(meas14(:, 2), win, [], [], Fs);
|
||||
|
||||
[pxamp1dc, ~] = pwelch(meas15(:, 1), win, [], [], Fs);
|
||||
[pxamp2ac, ~] = pwelch(meas15(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
The ASD of the signals are compare on figure [[fig:ac_dc_option_asd]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxamp1ac), 'DisplayName', 'Amp1 - AC');
|
||||
plot(f, sqrt(pxamp2dc), 'DisplayName', 'Amp2 - DC');
|
||||
plot(f, sqrt(pxamp1dc), 'DisplayName', 'Amp1 - DC');
|
||||
plot(f, sqrt(pxamp2ac), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_asd
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ac_dc_option_asd.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_asd
|
||||
#+CAPTION: Amplitude Spectral Density of the measured signals
|
||||
#+RESULTS: fig:ac_dc_option_asd
|
||||
[[file:figs/ac_dc_option_asd.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
- The voltage amplifiers include some very sharp high pass filters at 1.5Hz (maybe 4th order)
|
||||
- There is a DC offset on the time domain signal because the DC-offset knob was not set to zero
|
||||
#+end_important
|
||||
|
||||
* Transfer function of the Low Pass Filter
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/low_pass_filter_measurements.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:low_pass_filter_measurements>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ low_pass_filter_measurements.m -nt data/low_pass_filter_measurements.zip ]; then
|
||||
zip data/low_pass_filter_measurements \
|
||||
mat/data_018.mat \
|
||||
mat/data_019.mat \
|
||||
low_pass_filter_measurements.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The computation files for this section are accessible [[file:data/low_pass_filter_measurements.zip][here]].
|
||||
|
||||
** First LPF with a Cut-off frequency of 160Hz
|
||||
*** Measurement Description
|
||||
*Goal*:
|
||||
- Measure the Low Pass Filter Transfer Function
|
||||
|
||||
The values of the components are:
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 1\mu F
|
||||
\end{aligned}
|
||||
Which makes a cut-off frequency of $f_c = \frac{1}{RC} = 1000 rad/s = 160Hz$.
|
||||
|
||||
#+NAME: fig:lpf
|
||||
#+HEADER: :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/MEGA/These/LaTeX/}{config.tex}")
|
||||
#+HEADER: :imagemagick t :fit yes :iminoptions -scale 100% -density 150 :imoutoptions -quality 100
|
||||
#+HEADER: :results raw replace :buffer no :eval no-export :exports both :mkdirp yes
|
||||
#+HEADER: :output-dir figs
|
||||
#+begin_src latex :file lpf.pdf :post pdf2svg(file=*this*, ext="png") :exports both
|
||||
\begin{tikzpicture}
|
||||
\draw (0,2)
|
||||
to [R=\(R\)] ++(2,0) node[circ]
|
||||
to ++(2,0)
|
||||
++(-2,0)
|
||||
to [C=\(C\)] ++(0,-2) node[circ]
|
||||
++(-2,0)
|
||||
to ++(2,0)
|
||||
to ++(2,0)
|
||||
\end{tikzpicture}
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:lpf
|
||||
#+CAPTION: Schematic of the Low Pass Filter used
|
||||
#+RESULTS: fig:lpf
|
||||
[[file:figs/lpf.png]]
|
||||
|
||||
|
||||
*Setup*:
|
||||
- We are measuring the signal from from Geophone with a BNC T
|
||||
- On part goes to column 1 through the LPF
|
||||
- The other part goes to column 2 without the LPF
|
||||
|
||||
*Measurements*:
|
||||
=mat/data_018.mat=:
|
||||
| Column | Signal |
|
||||
|--------+----------------------|
|
||||
| 1 | Amplifier 1 with LPF |
|
||||
| 2 | Amplifier 2 |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:lpf_picture
|
||||
#+caption: Picture of the low pass filter used
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190507_102756.jpg]]
|
||||
|
||||
*** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
*** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
data = load('mat/data_018.mat', 'data'); data = data.data;
|
||||
#+end_src
|
||||
|
||||
*** Transfer function of the LPF
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
#+begin_src matlab :results none
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1000rad/s$.
|
||||
We obtain the result on figure [[fig:Glpf_bode]].
|
||||
#+begin_src matlab :results none
|
||||
Gth = 1/(1+s/1000)
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/Glpf_bode.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode
|
||||
#+CAPTION: Bode Diagram of the measured Low Pass filter and the theoritical one
|
||||
#+RESULTS: fig:Glpf_bode
|
||||
[[file:figs/Glpf_bode.png]]
|
||||
*** Conclusion
|
||||
#+begin_important
|
||||
As we want to measure things up to $500Hz$, we chose to change the value of the capacitor to obtain a cut-off frequency of $1kHz$.
|
||||
#+end_important
|
||||
|
||||
** Second LPF with a Cut-off frequency of 1000Hz
|
||||
*** Measurement description
|
||||
This time, the value are
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 150nF
|
||||
\end{aligned}
|
||||
Which makes a low pass filter with a cut-off frequency of $f_c = 1060Hz$.
|
||||
|
||||
*** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
data = load('mat/data_019.mat', 'data'); data = data.data;
|
||||
#+end_src
|
||||
|
||||
*** Transfer function of the LPF
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
#+begin_src matlab :results none
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1060Hz$.
|
||||
We obtain the result on figure [[fig:Glpf_bode_bis]].
|
||||
#+begin_src matlab :results none
|
||||
Gth = 1/(1+s/1060/2/pi);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode_bis
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/Glpf_bode_bis.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode_bis
|
||||
#+CAPTION: Bode Diagram of the measured Low Pass filter and the theoritical one
|
||||
#+RESULTS: fig:Glpf_bode_bis
|
||||
[[file:figs/Glpf_bode_bis.png]]
|
||||
*** Conclusion
|
||||
#+begin_important
|
||||
The added LPF has the expected behavior.
|
||||
#+end_important
|
||||
BIN
instrumentation/mat/data_018.mat
Normal file
BIN
instrumentation/mat/data_018.mat
Normal file
Binary file not shown.
BIN
instrumentation/mat/data_019.mat
Normal file
BIN
instrumentation/mat/data_019.mat
Normal file
Binary file not shown.
File diff suppressed because one or more lines are too long
@ -1,11 +0,0 @@
|
||||
data1 = load('mat/data_001.mat', 't', 'x1', 'x2');
|
||||
data2 = load('mat/data_002.mat', 't', 'x1', 'x2');
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(data1.t, data1.x1-data1.x2);
|
||||
plot(data2.t, data2.x1-data2.x2);
|
||||
hold off
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
legend({'Slip-ring OFF', 'Slip-ring ON'});
|
||||
3
slip-ring-test/figs/.gitignore
vendored
3
slip-ring-test/figs/.gitignore
vendored
@ -1,3 +0,0 @@
|
||||
*.tex
|
||||
*.pdf
|
||||
*.svg
|
||||
Binary file not shown.
File diff suppressed because one or more lines are too long
|
Before Width: | Height: | Size: 324 KiB |
File diff suppressed because it is too large
Load Diff
|
Before Width: | Height: | Size: 110 KiB After Width: | Height: | Size: 110 KiB |
Binary file not shown.
File diff suppressed because one or more lines are too long
|
Before Width: | Height: | Size: 572 KiB |
File diff suppressed because it is too large
Load Diff
|
Before Width: | Height: | Size: 62 KiB After Width: | Height: | Size: 62 KiB |
|
Before Width: | Height: | Size: 4.4 MiB After Width: | Height: | Size: 4.4 MiB |
|
Before Width: | Height: | Size: 3.5 MiB After Width: | Height: | Size: 3.5 MiB |
File diff suppressed because it is too large
Load Diff
@ -1,39 +1,165 @@
|
||||
#+TITLE: Measurements
|
||||
:DRAWER:
|
||||
#+STARTUP: overview
|
||||
#+TITLE: Measurements On the Slip-Ring
|
||||
#+SETUPFILE: ../config.org
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :results output
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
:END:
|
||||
|
||||
* Effect of the rotation of the Slip-Ring
|
||||
* Effect of the Slip-Ring on the signal
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle meas_effect_sr.m
|
||||
:header-args:matlab+: :tangle matlab/meas_slip_ring_geophone.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_slip_ring_geophone>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_effect_sr.m -nt data/meas_effect_sr.zip ]; then
|
||||
zip data/meas_effect_sr \
|
||||
mat/data_001.mat \
|
||||
mat/data_002.mat \
|
||||
meas_effect_sr.m
|
||||
if [ matlab/meas_slip_ring_geophone.m -nt data/meas_slip_ring_geophone.zip ]; then
|
||||
cp matlab/meas_slip_ring_geophone.m meas_slip_ring_geophone.m;
|
||||
zip data/meas_slip_ring_geophone \
|
||||
mat/data_018.mat \
|
||||
mat/data_019.mat \
|
||||
meas_slip_ring_geophone.m;
|
||||
rm meas_slip_ring_geophone.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The data and matlab files are accessible [[file:data/meas_effect_sr.zip][here]].
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_slip_ring_geophone.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Experimental Setup
|
||||
Two measurements are made with the control systems of all the stages turned OFF.
|
||||
|
||||
One geophone is located on the marble while the other is located at the sample location (figure [[fig:setup_slipring]]).
|
||||
|
||||
#+name: fig:setup_slipring
|
||||
#+caption: Experimental Setup
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_112615.jpg]]
|
||||
|
||||
The two measurements are:
|
||||
| Measurement File | Description |
|
||||
|------------------+------------------------------------------------------------------|
|
||||
| =meas_018.mat= | Signal from the top geophone does not goes through the Slip-ring |
|
||||
| =meas_019.mat= | Signal goes through the Slip-ring (as shown on the figure above) |
|
||||
|
||||
Each of the measurement =mat= file contains one =data= array with 3 columns:
|
||||
| Column number | Description |
|
||||
|---------------+-------------------|
|
||||
| 1 | Geophone - Marble |
|
||||
| 2 | Geophone - Sample |
|
||||
| 3 | Time |
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
|
||||
#+begin_src matlab :results none
|
||||
d8 = load('mat/data_018.mat', 'data'); d8 = d8.data;
|
||||
d9 = load('mat/data_019.mat', 'data'); d9 = d9.data;
|
||||
#+end_src
|
||||
|
||||
** Analysis - Time Domain
|
||||
First, we compare the time domain signals for the two experiments (figure [[fig:slipring_time]]).
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(d9(:, 3), d9(:, 2), 'DisplayName', 'Slip-Ring');
|
||||
plot(d8(:, 3), d8(:, 2), 'DisplayName', 'Wire');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 50]);
|
||||
legend('location', 'northeast');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slipring_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/slipring_time.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slipring_time
|
||||
#+CAPTION: Effect of the Slip-Ring on the measured signal - Time domain
|
||||
#+RESULTS: fig:slipring_time
|
||||
[[file:figs/slipring_time.png]]
|
||||
|
||||
** Analysis - Frequency Domain
|
||||
We then compute the Power Spectral Density of the two signals and we compare them (figure [[fig:slipring_asd]]).
|
||||
#+begin_src matlab :results none
|
||||
dt = d8(2, 3) - d8(1, 3);
|
||||
Fs = 1/dt;
|
||||
|
||||
win = hanning(ceil(1*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[pxx8, f] = pwelch(d8(:, 2), win, [], [], Fs);
|
||||
[pxx9, ~] = pwelch(d9(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxx9), 'DisplayName', 'Slip-Ring');
|
||||
plot(f, sqrt(pxx8), 'DisplayName', 'Wire');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlim([1, 500]);
|
||||
legend('Location', 'southwest');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slipring_asd
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/slipring_asd.pdf" :var figsize="wide-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:slipring_asd
|
||||
#+CAPTION: Effect of the Slip-Ring on the measured signal - Frequency domain
|
||||
#+RESULTS: fig:slipring_asd
|
||||
[[file:figs/slipring_asd.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
- Connecting the geophone through the Slip-Ring seems to induce a lot of noise.
|
||||
#+end_important
|
||||
|
||||
#+begin_note
|
||||
*Remaining questions to answer*:
|
||||
- Why is there a sharp peak at 300Hz?
|
||||
- Why the use of the Slip-Ring does induce a noise?
|
||||
- Can the capacitive/inductive properties of the wires in the Slip-ring does not play well with the geophone? (resonant RLC circuit)
|
||||
#+end_note
|
||||
|
||||
* Effect of the rotation of the Slip-Ring
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/meas_effect_sr.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_effect_sr>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/meas_effect_sr.m -nt data/meas_effect_sr.zip ]; then
|
||||
cp matlab/meas_effect_sr.m meas_effect_sr.m;
|
||||
zip data/meas_effect_sr \
|
||||
mat/data_001.mat \
|
||||
mat/data_002.mat \
|
||||
meas_effect_sr.m;
|
||||
rm meas_effect_sr.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_effect_sr.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Measurement Description
|
||||
Random Signal is generated by one DAC of the SpeedGoat.
|
||||
@ -60,7 +186,11 @@ The goal is to determine is the signal is altered when the spindle is rotating.
|
||||
Here, the rotation speed of the Slip-Ring is set to 1rpm.
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
@ -159,159 +289,29 @@ We now look at the difference between the signal directly measured by the ADC an
|
||||
- Should the measurement be redone using voltage amplifiers?
|
||||
- Use higher rotation speed and measure for longer periods (to have multiple revolutions) ?
|
||||
#+end_note
|
||||
* Measure of the noise of the Voltage Amplifier
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle meas_volt_amp.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_volt_amp.m -nt data/meas_volt_amp.zip ]; then
|
||||
zip data/meas_volt_amp \
|
||||
mat/data_003.mat \
|
||||
mat/data_004.mat \
|
||||
mat/data_005.mat \
|
||||
mat/data_006.mat \
|
||||
meas_volt_amp.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The data and matlab files are accessible [[file:data/meas_volt_amp.zip][here]].
|
||||
|
||||
** Measurement Description
|
||||
*Goal*:
|
||||
- Determine the Voltage Amplifier noise
|
||||
|
||||
*Setup*:
|
||||
- The two inputs (differential) of the voltage amplifier are shunted with 50Ohms
|
||||
- The AC/DC option of the Voltage amplifier is on AC
|
||||
- The low pass filter is set to 1hHz
|
||||
- We measure the output of the voltage amplifier with a 16bits ADC of the Speedgoat
|
||||
|
||||
*Measurements*:
|
||||
- =data_003=: Ampli OFF
|
||||
- =data_004=: Ampli ON set to 20dB
|
||||
- =data_005=: Ampli ON set to 40dB
|
||||
- =data_006=: Ampli ON set to 60dB
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
#+begin_src matlab :results none
|
||||
amp_off = load('mat/data_003.mat', 'data'); amp_off = amp_off.data(:, [1,3]);
|
||||
amp_20d = load('mat/data_004.mat', 'data'); amp_20d = amp_20d.data(:, [1,3]);
|
||||
amp_40d = load('mat/data_005.mat', 'data'); amp_40d = amp_40d.data(:, [1,3]);
|
||||
amp_60d = load('mat/data_006.mat', 'data'); amp_60d = amp_60d.data(:, [1,3]);
|
||||
#+end_src
|
||||
|
||||
** Time Domain
|
||||
The time domain signals are shown on figure [[fig:ampli_noise_time]].
|
||||
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(amp_off(:, 2), amp_off(:, 1), 'DisplayName', 'OFF');
|
||||
plot(amp_20d(:, 2), amp_20d(:, 1), 'DisplayName', '20dB');
|
||||
plot(amp_40d(:, 2), amp_40d(:, 1), 'DisplayName', '40dB');
|
||||
plot(amp_60d(:, 2), amp_60d(:, 1), 'DisplayName', '60dB');
|
||||
hold off;
|
||||
legend('Location', 'northeast');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ampli_noise_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_time
|
||||
#+CAPTION: Output of the amplifier
|
||||
#+RESULTS: fig:ampli_noise_time
|
||||
[[file:figs/ampli_noise_time.png]]
|
||||
|
||||
** Frequency Domain
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
#+begin_src matlab :results none
|
||||
dt = amp_off(2, 2)-amp_off(1, 2);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
Then we compute the Power Spectral Density using =pwelch= function.
|
||||
#+begin_src matlab :results none
|
||||
[pxoff, f] = pwelch(amp_off(:,1), win, [], [], Fs);
|
||||
[px20d, ~] = pwelch(amp_20d(:,1), win, [], [], Fs);
|
||||
[px40d, ~] = pwelch(amp_40d(:,1), win, [], [], Fs);
|
||||
[px60d, ~] = pwelch(amp_60d(:,1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compute the theoretical ADC noise.
|
||||
#+begin_src matlab :results none
|
||||
q = 20/2^16; % quantization
|
||||
Sq = q^2/12/1000; % PSD of the ADC noise
|
||||
#+end_src
|
||||
|
||||
Finally, the ASD is shown on figure [[fig:ampli_noise_psd]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxoff), 'DisplayName', 'OFF');
|
||||
plot(f, sqrt(px20d), 'DisplayName', '20dB');
|
||||
plot(f, sqrt(px40d), 'DisplayName', '40dB');
|
||||
plot(f, sqrt(px60d), 'DisplayName', '60dB');
|
||||
plot([0.1, 500], [sqrt(Sq), sqrt(Sq)], 'k--');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_psd
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ampli_noise_psd.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ampli_noise_psd
|
||||
#+CAPTION: Amplitude Spectral Density of the measured voltage at the output of the voltage amplifier
|
||||
#+RESULTS: fig:ampli_noise_psd
|
||||
[[file:figs/ampli_noise_psd.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
*Questions*:
|
||||
- Where does those sharp peaks comes from? Can this be due to aliasing?
|
||||
|
||||
Noise induced by the voltage amplifiers seems not to be a limiting factor as we have the same noise when they are OFF and ON.
|
||||
#+end_important
|
||||
|
||||
* Measure of the noise induced by the Slip-Ring
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle meas_slip_ring.m
|
||||
:header-args:matlab+: :tangle matlab/meas_slip_ring.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_slip_ring>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_slip_ring.m -nt data/meas_slip_ring.zip ]; then
|
||||
if [ matlab/meas_slip_ring.m -nt data/meas_slip_ring.zip ]; then
|
||||
cp matlab/meas_slip_ring.m meas_slip_ring.m;
|
||||
zip data/meas_slip_ring \
|
||||
mat/data_008.mat \
|
||||
mat/data_009.mat \
|
||||
mat/data_010.mat \
|
||||
mat/data_011.mat \
|
||||
meas_slip_ring.m
|
||||
meas_slip_ring.m;
|
||||
rm meas_slip_ring.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The data and matlab files are accessible [[file:data/meas_slip_ring.zip][here]].
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_slip_ring.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Measurement Description
|
||||
*Goal*:
|
||||
@ -343,7 +343,11 @@ Second column: Slip-ring measure
|
||||
[[file:./img/VID_20190503_161401.gif]]
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
@ -463,22 +467,36 @@ And we plot the ASD of the measured signals (figure [[fig:sr_psd_compare]]);
|
||||
|
||||
* Measure of the noise induced by the slip ring when using a geophone
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle meas_sr_geophone.m
|
||||
:header-args:matlab+: :tangle matlab/meas_sr_geophone.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:meas_sr_geophone>>
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_sr_geophone.m -nt data/meas_sr_geophone.zip ]; then
|
||||
if [ matlab/meas_sr_geophone.m -nt data/meas_sr_geophone.zip ]; then
|
||||
cp matlab/meas_sr_geophone.m meas_sr_geophone.m;
|
||||
zip data/meas_sr_geophone \
|
||||
mat/data_012.mat \
|
||||
mat/data_013.mat \
|
||||
mat/data_016.mat \
|
||||
mat/data_017.mat \
|
||||
meas_sr_geophone.m
|
||||
meas_sr_geophone.m;
|
||||
rm meas_sr_geophone.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The data and matlab files are accessible [[file:data/meas_sr_geophone.zip][here]].
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/meas_sr_geophone.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-dir>>
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :exports none :results silent :noweb yes
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** First Measurement without LPF
|
||||
*** Measurement Description
|
||||
@ -502,11 +520,6 @@ Second column: Slip-ring measure
|
||||
- =data_012=: Slip-Ring OFF
|
||||
- =data_013=: Slip-Ring ON
|
||||
|
||||
*** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
*** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
@ -825,357 +838,3 @@ Finally, we compare the Amplitude Spectral Density of the signals (figure [[fig:
|
||||
- Using the LPF, we don't have any perturbation coming from the slip-ring when it is on.
|
||||
- However, we should use a smaller value of the capacitor to have a cut-off frequency at $1kHz$.
|
||||
#+end_important
|
||||
|
||||
* Measure of the influence of the AC/DC option on the voltage amplifiers
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle meas_noise_ac_dc.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ meas_noise_ac_dc.m -nt data/meas_noise_ac_dc.zip ]; then
|
||||
zip data/meas_noise_ac_dc \
|
||||
mat/data_012.mat \
|
||||
mat/data_013.mat \
|
||||
meas_noise_ac_dc.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The data and matlab files are accessible [[file:data/meas_noise_ac_dc.zip][here]].
|
||||
|
||||
** Measurement Description
|
||||
*Goal*:
|
||||
- Measure the influence of the high-pass filter option of the voltage amplifiers
|
||||
|
||||
*Setup*:
|
||||
- One geophone is located on the marble.
|
||||
- It's signal goes to two voltage amplifiers with a gain of 60dB.
|
||||
- One voltage amplifier is on the AC option, the other is on the DC option.
|
||||
|
||||
*Measurements*:
|
||||
First measurement (=mat/data_014.mat= file):
|
||||
| Column | Signal |
|
||||
|--------+----------------------------|
|
||||
| 1 | Amplifier 1 with AC option |
|
||||
| 2 | Amplifier 2 with DC option |
|
||||
| 3 | Time |
|
||||
|
||||
Second measurement (=mat/data_015.mat= file):
|
||||
| Column | Signal |
|
||||
|--------+----------------------------|
|
||||
| 1 | Amplifier 1 with DC option |
|
||||
| 2 | Amplifier 2 with AC option |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:volt_amp_setup
|
||||
#+caption: Picture of the two voltages amplifiers
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190503_170936.jpg]]
|
||||
|
||||
** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
meas14 = load('mat/data_014.mat', 'data'); meas14 = meas14.data;
|
||||
meas15 = load('mat/data_015.mat', 'data'); meas15 = meas15.data;
|
||||
#+end_src
|
||||
|
||||
** Time Domain
|
||||
The signals are shown on figure [[fig:ac_dc_option_time]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(meas14(:, 3), meas14(:, 1), 'DisplayName', 'Amp1 - AC');
|
||||
plot(meas14(:, 3), meas14(:, 2), 'DisplayName', 'Amp2 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 1), 'DisplayName', 'Amp1 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 2), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
legend('Location', 'bestoutside');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
xlim([0, 100]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_time
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ac_dc_option_time.pdf" :var figsize="full-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_time
|
||||
#+CAPTION: Comparison of the signals going through the Voltage amplifiers
|
||||
#+RESULTS: fig:ac_dc_option_time
|
||||
[[file:figs/ac_dc_option_time.png]]
|
||||
|
||||
** Frequency Domain
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
#+begin_src matlab :results none
|
||||
dt = meas14(2, 3)-meas14(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
Then we compute the Power Spectral Density using =pwelch= function.
|
||||
#+begin_src matlab :results none
|
||||
[pxamp1ac, f] = pwelch(meas14(:, 1), win, [], [], Fs);
|
||||
[pxamp2dc, ~] = pwelch(meas14(:, 2), win, [], [], Fs);
|
||||
|
||||
[pxamp1dc, ~] = pwelch(meas15(:, 1), win, [], [], Fs);
|
||||
[pxamp2ac, ~] = pwelch(meas15(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
The ASD of the signals are compare on figure [[fig:ac_dc_option_asd]].
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxamp1ac), 'DisplayName', 'Amp1 - AC');
|
||||
plot(f, sqrt(pxamp2dc), 'DisplayName', 'Amp2 - DC');
|
||||
plot(f, sqrt(pxamp1dc), 'DisplayName', 'Amp1 - DC');
|
||||
plot(f, sqrt(pxamp2ac), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_asd
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/ac_dc_option_asd.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:ac_dc_option_asd
|
||||
#+CAPTION: Amplitude Spectral Density of the measured signals
|
||||
#+RESULTS: fig:ac_dc_option_asd
|
||||
[[file:figs/ac_dc_option_asd.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
- The voltage amplifiers include some very sharp high pass filters at 1.5Hz (maybe 4th order)
|
||||
- There is a DC offset on the time domain signal because the DC-offset knob was not set to zero
|
||||
#+end_important
|
||||
|
||||
* Transfer function of the Low Pass Filter
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle low_pass_filter_measurements.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ low_pass_filter_measurements.m -nt data/low_pass_filter_measurements.zip ]; then
|
||||
zip data/low_pass_filter_measurements \
|
||||
mat/data_018.mat \
|
||||
mat/data_019.mat \
|
||||
low_pass_filter_measurements.m
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
The computation files for this section are accessible [[file:data/low_pass_filter_measurements.zip][here]].
|
||||
|
||||
** First LPF with a Cut-off frequency of 160Hz
|
||||
*** Measurement Description
|
||||
*Goal*:
|
||||
- Measure the Low Pass Filter Transfer Function
|
||||
|
||||
The values of the components are:
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 1\mu F
|
||||
\end{aligned}
|
||||
Which makes a cut-off frequency of $f_c = \frac{1}{RC} = 1000 rad/s = 160Hz$.
|
||||
|
||||
#+NAME: fig:lpf
|
||||
#+HEADER: :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/MEGA/These/LaTeX/}{config.tex}")
|
||||
#+HEADER: :imagemagick t :fit yes :iminoptions -scale 100% -density 150 :imoutoptions -quality 100
|
||||
#+HEADER: :results raw replace :buffer no :eval no-export :exports both :mkdirp yes
|
||||
#+HEADER: :output-dir figs
|
||||
#+begin_src latex :file lpf.pdf :post pdf2svg(file=*this*, ext="png") :exports both
|
||||
\begin{tikzpicture}
|
||||
\draw (0,2)
|
||||
to [R=\(R\)] ++(2,0) node[circ]
|
||||
to ++(2,0)
|
||||
++(-2,0)
|
||||
to [C=\(C\)] ++(0,-2) node[circ]
|
||||
++(-2,0)
|
||||
to ++(2,0)
|
||||
to ++(2,0)
|
||||
\end{tikzpicture}
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:lpf
|
||||
#+CAPTION: Schematic of the Low Pass Filter used
|
||||
#+RESULTS: fig:lpf
|
||||
[[file:figs/lpf.png]]
|
||||
|
||||
|
||||
*Setup*:
|
||||
- We are measuring the signal from from Geophone with a BNC T
|
||||
- On part goes to column 1 through the LPF
|
||||
- The other part goes to column 2 without the LPF
|
||||
|
||||
*Measurements*:
|
||||
=mat/data_018.mat=:
|
||||
| Column | Signal |
|
||||
|--------+----------------------|
|
||||
| 1 | Amplifier 1 with LPF |
|
||||
| 2 | Amplifier 2 |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:lpf_picture
|
||||
#+caption: Picture of the low pass filter used
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190507_102756.jpg]]
|
||||
|
||||
*** Matlab Init :noexport:ignore:
|
||||
#+begin_src matlab :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||
<<matlab-init>>
|
||||
#+end_src
|
||||
|
||||
*** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
data = load('mat/data_018.mat', 'data'); data = data.data;
|
||||
#+end_src
|
||||
|
||||
*** Transfer function of the LPF
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
#+begin_src matlab :results none
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1000rad/s$.
|
||||
We obtain the result on figure [[fig:Glpf_bode]].
|
||||
#+begin_src matlab :results none
|
||||
Gth = 1/(1+s/1000)
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/Glpf_bode.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode
|
||||
#+CAPTION: Bode Diagram of the measured Low Pass filter and the theoritical one
|
||||
#+RESULTS: fig:Glpf_bode
|
||||
[[file:figs/Glpf_bode.png]]
|
||||
*** Conclusion
|
||||
#+begin_important
|
||||
As we want to measure things up to $500Hz$, we chose to change the value of the capacitor to obtain a cut-off frequency of $1kHz$.
|
||||
#+end_important
|
||||
|
||||
** Second LPF with a Cut-off frequency of 1000Hz
|
||||
*** Measurement description
|
||||
This time, the value are
|
||||
\begin{aligned}
|
||||
R &= 1k\Omega \\
|
||||
C &= 150nF
|
||||
\end{aligned}
|
||||
Which makes a low pass filter with a cut-off frequency of $f_c = 1060Hz$.
|
||||
|
||||
*** Load data
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
data = load('mat/data_019.mat', 'data'); data = data.data;
|
||||
#+end_src
|
||||
|
||||
*** Transfer function of the LPF
|
||||
We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
#+begin_src matlab :results none
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1060Hz$.
|
||||
We obtain the result on figure [[fig:Glpf_bode_bis]].
|
||||
#+begin_src matlab :results none
|
||||
Gth = 1/(1+s/1060/2/pi);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode_bis
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/Glpf_bode_bis.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:Glpf_bode_bis
|
||||
#+CAPTION: Bode Diagram of the measured Low Pass filter and the theoritical one
|
||||
#+RESULTS: fig:Glpf_bode_bis
|
||||
[[file:figs/Glpf_bode_bis.png]]
|
||||
*** Conclusion
|
||||
#+begin_important
|
||||
The added LPF has the expected behavior.
|
||||
#+end_important
|
||||
|
||||
@ -1,101 +0,0 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
data = load('mat/data_018.mat', 'data'); data = data.data;
|
||||
|
||||
% Transfer function of the LPF
|
||||
% We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1000rad/s$.
|
||||
% We obtain the result on figure [[fig:Glpf_bode]].
|
||||
|
||||
Gth = 1/(1+s/1000)
|
||||
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
data = load('mat/data_019.mat', 'data'); data = data.data;
|
||||
|
||||
% Transfer function of the LPF
|
||||
% We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
|
||||
|
||||
dt = data(2, 3)-data(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
[Glpf, f] = tfestimate(data(:, 2), data(:, 1), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% We compare this transfer function with a transfer function corresponding to an ideal first order LPF with a cut-off frequency of $1060Hz$.
|
||||
% We obtain the result on figure [[fig:Glpf_bode_bis]].
|
||||
|
||||
Gth = 1/(1+s/1060/2/pi);
|
||||
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(Glpf));
|
||||
plot(f, abs(squeeze(freqresp(Gth, f, 'Hz'))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(Glpf), 360)-180);
|
||||
plot(f, 180/pi*unwrap(angle(squeeze(freqresp(Gth, f, 'Hz')))));
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 500]);
|
||||
Binary file not shown.
Binary file not shown.
@ -1,13 +1,12 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/slip-ring-test/';
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
@ -1,13 +1,12 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/slip-ring-test/';
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
57
slip-ring-test/matlab/meas_slip_ring_geophone.m
Normal file
57
slip-ring-test/matlab/meas_slip_ring_geophone.m
Normal file
@ -0,0 +1,57 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/slip-ring-test/';
|
||||
%% Go to current Directory
|
||||
cd(current_dir);
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
|
||||
d8 = load('mat/data_018.mat', 'data'); d8 = d8.data;
|
||||
d9 = load('mat/data_019.mat', 'data'); d9 = d9.data;
|
||||
|
||||
% Analysis - Time Domain
|
||||
% First, we compare the time domain signals for the two experiments (figure [[fig:slipring_time]]).
|
||||
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(d9(:, 3), d9(:, 2), 'DisplayName', 'Slip-Ring');
|
||||
plot(d8(:, 3), d8(:, 2), 'DisplayName', 'Wire');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 50]);
|
||||
legend('location', 'northeast');
|
||||
|
||||
% Analysis - Frequency Domain
|
||||
% We then compute the Power Spectral Density of the two signals and we compare them (figure [[fig:slipring_asd]]).
|
||||
|
||||
dt = d8(2, 3) - d8(1, 3);
|
||||
Fs = 1/dt;
|
||||
|
||||
win = hanning(ceil(1*Fs));
|
||||
|
||||
[pxx8, f] = pwelch(d8(:, 2), win, [], [], Fs);
|
||||
[pxx9, ~] = pwelch(d9(:, 2), win, [], [], Fs);
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxx9), 'DisplayName', 'Slip-Ring');
|
||||
plot(f, sqrt(pxx8), 'DisplayName', 'Wire');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlim([1, 500]);
|
||||
legend('Location', 'southwest');
|
||||
@ -1,13 +1,12 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
current_dir='/home/thomas/MEGA/These/meas/slip-ring-test/';
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
@ -1,66 +0,0 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
meas14 = load('mat/data_014.mat', 'data'); meas14 = meas14.data;
|
||||
meas15 = load('mat/data_015.mat', 'data'); meas15 = meas15.data;
|
||||
|
||||
% Time Domain
|
||||
% The signals are shown on figure [[fig:ac_dc_option_time]].
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(meas14(:, 3), meas14(:, 1), 'DisplayName', 'Amp1 - AC');
|
||||
plot(meas14(:, 3), meas14(:, 2), 'DisplayName', 'Amp2 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 1), 'DisplayName', 'Amp1 - DC');
|
||||
plot(meas15(:, 3), meas15(:, 2), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
legend('Location', 'bestoutside');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
xlim([0, 100]);
|
||||
|
||||
% Frequency Domain
|
||||
% We first compute some parameters that will be used for the PSD computation.
|
||||
|
||||
dt = meas14(2, 3)-meas14(1, 3);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
|
||||
|
||||
% Then we compute the Power Spectral Density using =pwelch= function.
|
||||
|
||||
[pxamp1ac, f] = pwelch(meas14(:, 1), win, [], [], Fs);
|
||||
[pxamp2dc, ~] = pwelch(meas14(:, 2), win, [], [], Fs);
|
||||
|
||||
[pxamp1dc, ~] = pwelch(meas15(:, 1), win, [], [], Fs);
|
||||
[pxamp2ac, ~] = pwelch(meas15(:, 2), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% The ASD of the signals are compare on figure [[fig:ac_dc_option_asd]].
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxamp1ac), 'DisplayName', 'Amp1 - AC');
|
||||
plot(f, sqrt(pxamp2dc), 'DisplayName', 'Amp2 - DC');
|
||||
plot(f, sqrt(pxamp1dc), 'DisplayName', 'Amp1 - DC');
|
||||
plot(f, sqrt(pxamp2ac), 'DisplayName', 'Amp2 - AC');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
@ -1,74 +0,0 @@
|
||||
% Matlab Init :noexport:ignore:
|
||||
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
%% Initialize ans with org-babel
|
||||
ans = 0;
|
||||
|
||||
% Load data
|
||||
|
||||
amp_off = load('mat/data_003.mat', 'data'); amp_off = amp_off.data(:, [1,3]);
|
||||
amp_20d = load('mat/data_004.mat', 'data'); amp_20d = amp_20d.data(:, [1,3]);
|
||||
amp_40d = load('mat/data_005.mat', 'data'); amp_40d = amp_40d.data(:, [1,3]);
|
||||
amp_60d = load('mat/data_006.mat', 'data'); amp_60d = amp_60d.data(:, [1,3]);
|
||||
|
||||
% Time Domain
|
||||
% The time domain signals are shown on figure [[fig:ampli_noise_time]].
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(amp_off(:, 2), amp_off(:, 1), 'DisplayName', 'OFF');
|
||||
plot(amp_20d(:, 2), amp_20d(:, 1), 'DisplayName', '20dB');
|
||||
plot(amp_40d(:, 2), amp_40d(:, 1), 'DisplayName', '40dB');
|
||||
plot(amp_60d(:, 2), amp_60d(:, 1), 'DisplayName', '60dB');
|
||||
hold off;
|
||||
legend('Location', 'northeast');
|
||||
xlabel('Time [s]');
|
||||
ylabel('Voltage [V]');
|
||||
|
||||
% Frequency Domain
|
||||
% We first compute some parameters that will be used for the PSD computation.
|
||||
|
||||
dt = amp_off(2, 2)-amp_off(1, 2);
|
||||
|
||||
Fs = 1/dt; % [Hz]
|
||||
|
||||
win = hanning(ceil(10*Fs));
|
||||
|
||||
|
||||
|
||||
% Then we compute the Power Spectral Density using =pwelch= function.
|
||||
|
||||
[pxoff, f] = pwelch(amp_off(:,1), win, [], [], Fs);
|
||||
[px20d, ~] = pwelch(amp_20d(:,1), win, [], [], Fs);
|
||||
[px40d, ~] = pwelch(amp_40d(:,1), win, [], [], Fs);
|
||||
[px60d, ~] = pwelch(amp_60d(:,1), win, [], [], Fs);
|
||||
|
||||
|
||||
|
||||
% We compute the theoretical ADC noise.
|
||||
|
||||
q = 20/2^16; % quantization
|
||||
Sq = q^2/12/1000; % PSD of the ADC noise
|
||||
|
||||
|
||||
|
||||
% Finally, the ASD is shown on figure [[fig:ampli_noise_psd]].
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, sqrt(pxoff), 'DisplayName', 'OFF');
|
||||
plot(f, sqrt(px20d), 'DisplayName', '20dB');
|
||||
plot(f, sqrt(px40d), 'DisplayName', '40dB');
|
||||
plot(f, sqrt(px60d), 'DisplayName', '60dB');
|
||||
plot([0.1, 500], [sqrt(Sq), sqrt(Sq)], 'k--');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
legend('Location', 'northeast');
|
||||
xlim([0.1, 500]);
|
||||
@ -1,54 +0,0 @@
|
||||
%%
|
||||
Tsim = 100; % [s]
|
||||
|
||||
%%
|
||||
tg = slrt;
|
||||
|
||||
%% TODO - Build this application if updated
|
||||
|
||||
%%
|
||||
if tg.Connected == "Yes"
|
||||
if tg.Status == "running"
|
||||
disp('Target is Running, Stopping...');
|
||||
tg.stop;
|
||||
while tg.Status == "running"
|
||||
pause(1);
|
||||
end
|
||||
disp('Target is Stopped');
|
||||
end
|
||||
if tg.Status == "stopped"
|
||||
disp('Load the Application');
|
||||
tg.load('slip_ring_test');
|
||||
|
||||
%% Run the application
|
||||
disp('Starting the Application');
|
||||
tg.start;
|
||||
pause(Tsim);
|
||||
tg.stop;
|
||||
end
|
||||
else
|
||||
error("The target computer is not connected");
|
||||
end
|
||||
|
||||
%%
|
||||
f = SimulinkRealTime.openFTP(tg);
|
||||
cd(f, 'data/slip_ring_test/');
|
||||
mget(f, 'data_001.dat', 'data');
|
||||
close(f);
|
||||
|
||||
%%
|
||||
data = SimulinkRealTime.utils.getFileScopeData('data/data_001.dat').data;
|
||||
|
||||
%%
|
||||
n = 19;
|
||||
|
||||
while isfile(['mat/data_', num2str(n, '%03d'), '.mat'])
|
||||
disp('File exists.');
|
||||
if input(['Are you sure you want to override the file ', 'mat/data_', ...
|
||||
num2str(n, '%03d'), '.mat', ' ? [Y/n]']) == 'Y'
|
||||
break;
|
||||
end
|
||||
n = input('What should be the measurement number?');
|
||||
end
|
||||
|
||||
save(['mat/data_', num2str(n, '%03d'), '.mat'], 'data');
|
||||
@ -1,7 +0,0 @@
|
||||
|
||||
%%
|
||||
% tg = slrt;
|
||||
% f = SimulinkRealTime.openFTP(tg);
|
||||
% cd(f, 'data/');
|
||||
% mkdir(f, 'disturbance-measurement');
|
||||
% close(f);
|
||||
@ -78,9 +78,3 @@ Then, the =f= object can be used to access the filesystem on the target computer
|
||||
|
||||
* ELMO
|
||||
tutorials: https://www.elmomc.com/products/application-studio/easii/easii-tutorials/
|
||||
* Low Pass Filter
|
||||
|
||||
R = 1KOhm
|
||||
C = 1muF
|
||||
|
||||
Fc = 1kHz
|
||||
|
Before Width: | Height: | Size: 74 KiB After Width: | Height: | Size: 74 KiB |
|
Before Width: | Height: | Size: 72 KiB After Width: | Height: | Size: 72 KiB |
|
Before Width: | Height: | Size: 77 KiB After Width: | Height: | Size: 77 KiB |
|
Before Width: | Height: | Size: 66 KiB After Width: | Height: | Size: 66 KiB |
|
Before Width: | Height: | Size: 65 KiB After Width: | Height: | Size: 65 KiB |
|
Before Width: | Height: | Size: 66 KiB After Width: | Height: | Size: 66 KiB |
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Reference in New Issue
Block a user