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<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgbdb27eb">1. Experimental Setup</a>
<li><a href="#orgd82eecc">1. Experimental Setup</a>
<ul>
<li><a href="#org8dbd49b">1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#orgf538b5e">1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orga48e2bc">1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
<li><a href="#org82ae208">1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org7b369e5">1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#org325c5f6">1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
</ul>
</li>
<li><a href="#org3ea309e">2. Measurement Analysis</a>
<li><a href="#orgba49cdc">2. Measurement Analysis</a>
<ul>
<li><a href="#org1638277">2.1. Load data</a></li>
<li><a href="#org0d3cc48">2.2. Analysis - Time Domain</a></li>
<li><a href="#org65a5a79">2.3. Analysis - Frequency Domain</a></li>
<li><a href="#orgbbc525b">2.4. Conclusion</a></li>
<li><a href="#org8d52fe2">2.1. Load data</a></li>
<li><a href="#org9111ac4">2.2. Analysis - Time Domain</a></li>
<li><a href="#orged11956">2.3. Analysis - Frequency Domain</a></li>
<li><a href="#org5e2da99">2.4. Conclusion</a></li>
</ul>
</li>
</ul>
</div>
</div>
<div id="outline-container-orgbdb27eb" class="outline-2">
<h2 id="orgbdb27eb"><span class="section-number-2">1</span> Experimental Setup</h2>
<div id="outline-container-orgd82eecc" class="outline-2">
<h2 id="orgd82eecc"><span class="section-number-2">1</span> Experimental Setup</h2>
<div class="outline-text-2" id="text-1">
<p>
For all the measurements in this section:
@@ -311,11 +61,11 @@ For all the measurements in this section:
</ul>
</div>
<div id="outline-container-org8dbd49b" class="outline-3">
<h3 id="org8dbd49b"><span class="section-number-3">1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h3>
<div id="outline-container-org82ae208" class="outline-3">
<h3 id="org82ae208"><span class="section-number-3">1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h3>
<div class="outline-text-3" id="text-1-1">
<p>
One geophone is on the marble, one is on the Ty stage (see figures <a href="#orgee9d1f3">1</a>, <a href="#org0acaa0d">2</a> and <a href="#orgec4ad6b">3</a>).
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org0874a9a">1</a>, <a href="#orgc939aca">2</a> and <a href="#orgdb6f84a">3</a>).
</p>
<p>
@@ -354,21 +104,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="orgee9d1f3" class="figure">
<div id="org0874a9a" class="figure">
<p><img src="./img/IMG_20190430_155330.jpg" alt="IMG_20190430_155330.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 1: </span>Setup with one geophone on the marble and one on top of the translation stage</p>
</div>
<div id="org0acaa0d" class="figure">
<div id="orgc939aca" class="figure">
<p><img src="./img/IMG_20190430_155335.jpg" alt="IMG_20190430_155335.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 2: </span>Setup with one geophone on the marble and one on top of the translation stage - Close up view</p>
</div>
<div id="orgec4ad6b" class="figure">
<div id="orgdb6f84a" class="figure">
<p><img src="./img/IMG_20190430_155342.jpg" alt="IMG_20190430_155342.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 3: </span>Setup with one geophone on the marble and one on top of the translation stage - Top view</p>
@@ -376,11 +126,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orgf538b5e" class="outline-3">
<h3 id="orgf538b5e"><span class="section-number-3">1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h3>
<div id="outline-container-org7b369e5" class="outline-3">
<h3 id="org7b369e5"><span class="section-number-3">1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h3>
<div class="outline-text-3" id="text-1-2">
<p>
One geophone is on the marble, one is on the Ry stage (see figure <a href="#orgd643390">4</a>)
One geophone is on the marble, one is on the Ry stage (see figure <a href="#org56e9797">4</a>)
</p>
<p>
@@ -419,7 +169,7 @@ The <code>data</code> array contains the following columns:
</table>
<div id="orgd643390" class="figure">
<div id="org56e9797" class="figure">
<p><img src="./img/IMG_20190430_163919.jpg" alt="IMG_20190430_163919.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 4: </span>Setup with one geophone on the marble and one on top of the Tilt Stage</p>
@@ -427,11 +177,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orga48e2bc" class="outline-3">
<h3 id="orga48e2bc"><span class="section-number-3">1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h3>
<div id="outline-container-org325c5f6" class="outline-3">
<h3 id="org325c5f6"><span class="section-number-3">1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h3>
<div class="outline-text-3" id="text-1-3">
<p>
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#org4038125">5</a>, <a href="#orge841934">6</a> and <a href="#org7715257">7</a>)
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#org2645aca">5</a>, <a href="#org9559008">6</a> and <a href="#org697a065">7</a>)
One geophone on the Ty stage, one geophone on the Ry stage.
</p>
@@ -471,21 +221,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org4038125" class="figure">
<div id="org2645aca" class="figure">
<p><img src="./img/IMG_20190430_170405.jpg" alt="IMG_20190430_170405.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 5: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage</p>
</div>
<div id="orge841934" class="figure">
<div id="org9559008" class="figure">
<p><img src="./img/IMG_20190430_170418.jpg" alt="IMG_20190430_170418.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 6: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view</p>
</div>
<div id="org7715257" class="figure">
<div id="org697a065" class="figure">
<p><img src="./img/IMG_20190430_170425.jpg" alt="IMG_20190430_170425.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 7: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view</p>
@@ -494,13 +244,13 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org3ea309e" class="outline-2">
<h2 id="org3ea309e"><span class="section-number-2">2</span> Measurement Analysis</h2>
<div id="outline-container-orgba49cdc" class="outline-2">
<h2 id="orgba49cdc"><span class="section-number-2">2</span> Measurement Analysis</h2>
<div class="outline-text-2" id="text-2">
<p>
<a id="org88007a9"></a>
<a id="org94fbe52"></a>
</p>
<div class="note">
<div class="note" id="orgb7f13bf">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/tf_stages_geophone.zip">here</a>.
</p>
@@ -508,23 +258,23 @@ All the files (data and Matlab scripts) are accessible <a href="data/tf_stages_g
</div>
</div>
<div id="outline-container-org1638277" class="outline-3">
<h3 id="org1638277"><span class="section-number-3">2.1</span> Load data</h3>
<div id="outline-container-org8d52fe2" class="outline-3">
<h3 id="org8d52fe2"><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.
</p>
<div class="org-src-container">
<pre class="src src-matlab">m_ty = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_010.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; m_ty = m_ty.data;
m_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_011.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; m_ry = m_ry.data;
ty_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_012.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; ty_ry = ty_ry.data;
<pre class="src src-matlab">m_ty = load(<span class="org-string">'mat/data_010.mat'</span>, <span class="org-string">'data'</span>); m_ty = m_ty.data;
m_ry = load(<span class="org-string">'mat/data_011.mat'</span>, <span class="org-string">'data'</span>); m_ry = m_ry.data;
ty_ry = load(<span class="org-string">'mat/data_012.mat'</span>, <span class="org-string">'data'</span>); ty_ry = ty_ry.data;
</pre>
</div>
</div>
</div>
<div id="outline-container-org0d3cc48" class="outline-3">
<h3 id="org0d3cc48"><span class="section-number-3">2.2</span> Analysis - Time Domain</h3>
<div id="outline-container-org9111ac4" class="outline-3">
<h3 id="org9111ac4"><span class="section-number-3">2.2</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-2-2">
<p>
First, we can look at the time domain data.
@@ -533,17 +283,17 @@ First, we can look at the time domain data.
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<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>, <span class="org-string">'DisplayName', 'Marble'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<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>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot(m_ty(<span class="org-type">:</span>, 3), m_ty(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble'</span>);
plot(m_ty(<span class="org-type">:</span>, 3), m_ty(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Ty'</span>);
hold off;
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</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">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</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">0</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>;
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Voltage [V]'</span>);
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
xlim([0, 500]);
</pre>
</div>
<div id="org6d8a0eb" class="figure">
<div id="org0d4f84e" class="figure">
<p><img src="figs/time_domain_m_ty.png" alt="time_domain_m_ty.png" />
</p>
<p><span class="figure-number">Figure 8: </span>Time domain - Marble and translation stage</p>
@@ -553,17 +303,17 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<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>, <span class="org-string">'DisplayName', 'Marble'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<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>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot(m_ry(<span class="org-type">:</span>, 3), m_ry(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble'</span>);
plot(m_ry(<span class="org-type">:</span>, 3), m_ry(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Ty'</span>);
hold off;
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</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">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</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">0</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>;
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Voltage [V]'</span>);
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
xlim([0, 500]);
</pre>
</div>
<div id="org8700a74" class="figure">
<div id="org98e315d" class="figure">
<p><img src="figs/time_domain_m_ry.png" alt="time_domain_m_ry.png" />
</p>
<p><span class="figure-number">Figure 9: </span>Time domain - Marble and tilt stage</p>
@@ -572,17 +322,17 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<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>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<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>, <span class="org-string">'DisplayName', 'Ry'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot(ty_ry(<span class="org-type">:</span>, 3), ty_ry(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Ty'</span>);
plot(ty_ry(<span class="org-type">:</span>, 3), ty_ry(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Ry'</span>);
hold off;
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</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">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</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">0</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>;
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Voltage [V]'</span>);
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
xlim([0, 500]);
</pre>
</div>
<div id="orgcb2e12d" class="figure">
<div id="orgabbf859" class="figure">
<p><img src="figs/time_domain_ty_ry.png" alt="time_domain_ty_ry.png" />
</p>
<p><span class="figure-number">Figure 10: </span>Time domain - Translation stage and tilt stage</p>
@@ -590,58 +340,58 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org65a5a79" class="outline-3">
<h3 id="org65a5a79"><span class="section-number-3">2.3</span> Analysis - Frequency Domain</h3>
<div id="outline-container-orged11956" class="outline-3">
<h3 id="orged11956"><span class="section-number-3">2.3</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-2-3">
<div class="org-src-container">
<pre class="src src-matlab">dt = m_ty<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> m_ty<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>;
<pre class="src src-matlab">dt = m_ty(2, 3) <span class="org-type">-</span> m_ty(1, 3);
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt;
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">1</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
Fs = 1<span class="org-type">/</span>dt;
win = hanning(ceil(1<span class="org-type">*</span>Fs));
</pre>
</div>
<p>
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgc25589d">11</a>). We also plot their coherence (figure <a href="#org6b84c12">12</a>).
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgca1b639">11</a>). We also plot their coherence (figure <a href="#org8a7c191">12</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>T_m_ty, f<span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<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>, m_ty<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>T_m_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<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>, m_ry<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>T_ty_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<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>, ty_ry<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 class="src src-matlab">[T_m_ty, f] = tfestimate(m_ty(<span class="org-type">:</span>, 1), m_ty(<span class="org-type">:</span>, 2), win, [], [], Fs);
[T_m_ry, <span class="org-type">~</span>] = tfestimate(m_ry(<span class="org-type">:</span>, 1), m_ry(<span class="org-type">:</span>, 2), win, [], [], Fs);
[T_ty_ry, <span class="org-type">~</span>] = tfestimate(ty_ry(<span class="org-type">:</span>, 1), ty_ry(<span class="org-type">:</span>, 2), win, [], [], Fs);
</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>;
ax1 = subplot(2, 1, 1);
hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>T_m_ty<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty'</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>T_m_ry<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ry'</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>T_ty_ry<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ty - Ry'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
plot(f, abs(T_m_ty), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty'</span>);
plot(f, abs(T_m_ry), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ry'</span>);
plot(f, abs(T_ty_ry), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Ty - Ry'</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>;
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>); <span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'XTickLabel'</span>,[]);
ylabel(<span class="org-string">'Magnitude'</span>);
legend(<span class="org-string">'Location'</span>, <span class="org-string">'northwest'</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>;
ax2 = subplot(2, 1, 2);
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>T_m_ty<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, 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>T_m_ry<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, 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>T_ty_ry<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(f, mod(180<span class="org-type">+</span>180<span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase(T_m_ty), 360)<span class="org-type">-</span>180);
plot(f, mod(180<span class="org-type">+</span>180<span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase(T_m_ry), 360)<span class="org-type">-</span>180);
plot(f, mod(180<span class="org-type">+</span>180<span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase(T_ty_ry), 360)<span class="org-type">-</span>180);
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>;
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
ylim([<span class="org-type">-</span>180, 180]);
yticks([<span class="org-type">-</span>180, <span class="org-type">-</span>90, 0, 90, 180]);
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'Phase'</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">10</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>;
linkaxes([ax1,ax2],<span class="org-string">'x'</span>);
xlim([10, 500]);
</pre>
</div>
<div id="orgc25589d" class="figure">
<div id="orgca1b639" class="figure">
<p><img src="figs/compare_tf_geophones.png" alt="compare_tf_geophones.png" />
</p>
<p><span class="figure-number">Figure 11: </span>Transfer function from the first geophone to the second geophone for the three experiments</p>
@@ -649,14 +399,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>coh_m_ty, f<span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<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>, m_ty<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>coh_m_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<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>, m_ry<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>coh_ty_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<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>, ty_ry<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 class="src src-matlab">[coh_m_ty, f] = mscohere(m_ty(<span class="org-type">:</span>, 1), m_ty(<span class="org-type">:</span>, 2), win, [], [], Fs);
[coh_m_ry, <span class="org-type">~</span>] = mscohere(m_ry(<span class="org-type">:</span>, 1), m_ry(<span class="org-type">:</span>, 2), win, [], [], Fs);
[coh_ty_ry, <span class="org-type">~</span>] = mscohere(ty_ry(<span class="org-type">:</span>, 1), ty_ry(<span class="org-type">:</span>, 2), win, [], [], Fs);
</pre>
</div>
<div id="org6b84c12" class="figure">
<div id="org8a7c191" class="figure">
<p><img src="figs/coherence_two_geophones.png" alt="coherence_two_geophones.png" />
</p>
<p><span class="figure-number">Figure 12: </span>Coherence between the two geophones for the three experiments</p>
@@ -664,10 +414,10 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgbbc525b" class="outline-3">
<h3 id="orgbbc525b"><span class="section-number-3">2.4</span> Conclusion</h3>
<div id="outline-container-org5e2da99" class="outline-3">
<h3 id="org5e2da99"><span class="section-number-3">2.4</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-4">
<div class="important">
<div class="important" id="org0f3c17a">
<p>
These measurements are not relevant.
</p>
@@ -679,8 +429,7 @@ These measurements are not relevant.
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-05-15 mer. 17:22</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2020-11-12 jeu. 10:29</p>
</div>
</body>
</html>

11
other-measurements/tf_geophone_stages.org
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@@ -7,15 +7,10 @@
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