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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Equipment</title> <title>Equipment</title>
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<h2>Table of Contents</h2> <h2>Table of Contents</h2>
<div id="text-table-of-contents"> <div id="text-table-of-contents">
<ul> <ul>
<li><a href="#org460b7f3">1. Measurement System / Acquisition System</a> <li><a href="#orgc19630d">1. Geophones</a>
<ul> <ul>
<li><a href="#orgee55a66">1.1. Modal Analysis</a></li> <li>
<ul>
<li><a href="#orge2b612a">1.0.1. L-28LB</a></li>
<li><a href="#orgb5de080">1.0.2. L-4C</a></li>
<li><a href="#orga947ef6">1.0.3. L-22</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org7367c20">2. Control System</a></li>
<li><a href="#org829ecdf">3. Positioning Stages</a>
<ul>
<li><a href="#org6375987">3.1. Hexapods</a></li>
<li><a href="#org157fe30">3.2. Translation/Rotation Stage</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org7175d7d">4. Amplifiers</a> <li><a href="#orgc204c4f">2. Accelerometers</a>
<ul> <ul>
<li><a href="#orgfc405a9">4.1. Current Amplifiers</a></li> <li>
<li><a href="#org35b6261">4.2. Voltage Amplifiers</a></li> <ul>
<li><a href="#orge6637e2">2.0.1. Pieozoelectric acc. 356b18 - 3 axis</a></li>
<li><a href="#org6593c04">2.0.2. Ceramic acc. 393B05 - 1 axis</a></li>
</ul> </ul>
</li> </li>
<li><a href="#orgd8ca591">5. ESRF Equipment</a>
<ul>
<li><a href="#orgf0d4bad">5.1. Geophones</a>
<ul>
<li><a href="#orgd84d4fd">5.1.1. L-28LB</a></li>
<li><a href="#org538a8d0">5.1.2. L-4C</a></li>
<li><a href="#org146e941">5.1.3. L-22</a></li>
</ul>
</li>
<li><a href="#org0011c20">5.2. Accelerometers</a>
<ul>
<li><a href="#orgadd6a99">5.2.1. Pieozoelectric acc. 356b18 - 3 axis</a></li>
<li><a href="#org1d721b4">5.2.2. Ceramic acc. 393B05 - 1 axis</a></li>
</ul>
</li>
<li><a href="#org72ba891">5.3. Modal analysis</a></li>
</ul> </ul>
</li> </li>
<li><a href="#orgbec3a31">3. Modal analysis</a></li>
</ul> </ul>
</div> </div>
</div> </div>
<div id="outline-container-org460b7f3" class="outline-2"> <div id="outline-container-orgc19630d" class="outline-2">
<h2 id="org460b7f3"><span class="section-number-2">1</span> Measurement System / Acquisition System</h2> <h2 id="orgc19630d"><span class="section-number-2">1</span> Geophones</h2>
<div class="outline-text-2" id="text-1"> <div class="outline-text-2" id="text-1">
</div> </div>
<div id="outline-container-orgee55a66" class="outline-3"> <div id="outline-container-orge2b612a" class="outline-4">
<h3 id="orgee55a66"><span class="section-number-3">1.1</span> Modal Analysis</h3> <h4 id="orge2b612a"><span class="section-number-4">1.0.1</span> L-28LB</h4>
<div class="outline-text-3" id="text-1-1"> <div class="outline-text-4" id="text-1-0-1">
<p>
<a href="https://dewesoft.com/applications/structural-dynamics/modal-analysis">https://dewesoft.com/applications/structural-dynamics/modal-analysis</a>
Polytec 3D Scanning Laser Vibrometer <a href="https://www.polytec.com/us/vibrometry/products/full-field-vibrometers/psv-500-scanning-vibrometer/">https://www.polytec.com/us/vibrometry/products/full-field-vibrometers/psv-500-scanning-vibrometer/</a>
</p>
</div>
</div>
</div>
<div id="outline-container-org7367c20" class="outline-2">
<h2 id="org7367c20"><span class="section-number-2">2</span> Control System</h2>
<div class="outline-text-2" id="text-2">
<p>
<a href="https://www.opal-rt.com/">https://www.opal-rt.com/</a>
<a href="https://www.speedgoat.com/">https://www.speedgoat.com/</a>
<a href="https://www.dspace.com/en/inc/home/products/hw/microlabbox.cfm">https://www.dspace.com/en/inc/home/products/hw/microlabbox.cfm</a>
<a href="https://www.ni.com/fr-fr/shop/pc-based-measurement-and-control-system.html">https://www.ni.com/fr-fr/shop/pc-based-measurement-and-control-system.html</a>
</p>
</div>
</div>
<div id="outline-container-org829ecdf" class="outline-2">
<h2 id="org829ecdf"><span class="section-number-2">3</span> Positioning Stages</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-org6375987" class="outline-3">
<h3 id="org6375987"><span class="section-number-3">3.1</span> Hexapods</h3>
<div class="outline-text-3" id="text-3-1">
<ul class="org-ul">
<li><a href="https://www.alioindustries.com/">https://www.alioindustries.com/</a></li>
<li><a href="https://www.symetrie.fr/en/home/">https://www.symetrie.fr/en/home/</a></li>
<li><a href="https://www.physikinstrumente.com/en/products/parallel-kinematic-hexapods/">https://www.physikinstrumente.com/en/products/parallel-kinematic-hexapods/</a></li>
</ul>
</div>
</div>
<div id="outline-container-org157fe30" class="outline-3">
<h3 id="org157fe30"><span class="section-number-3">3.2</span> Translation/Rotation Stage</h3>
<div class="outline-text-3" id="text-3-2">
<ul class="org-ul">
<li><a href="https://www.attocube.com/en/products/nanopositioners">https://www.attocube.com/en/products/nanopositioners</a></li>
<li><a href="https://www.physikinstrumente.com/en/">https://www.physikinstrumente.com/en/</a></li>
<li><a href="https://www.aerotech.com/">https://www.aerotech.com/</a></li>
<li><a href="https://www.etel.ch/">https://www.etel.ch/</a></li>
</ul>
</div>
</div>
</div>
<div id="outline-container-org7175d7d" class="outline-2">
<h2 id="org7175d7d"><span class="section-number-2">4</span> Amplifiers</h2>
<div class="outline-text-2" id="text-4">
</div>
<div id="outline-container-orgfc405a9" class="outline-3">
<h3 id="orgfc405a9"><span class="section-number-3">4.1</span> Current Amplifiers</h3>
</div>
<div id="outline-container-org35b6261" class="outline-3">
<h3 id="org35b6261"><span class="section-number-3">4.2</span> Voltage Amplifiers</h3>
<div class="outline-text-3" id="text-4-2">
<p>
Amplifiers:
<a href="https://www.cedrat-technologies.com/en/products/piezo-controllers/electronic-amplifier-boards.html">https://www.cedrat-technologies.com/en/products/piezo-controllers/electronic-amplifier-boards.html</a>
</p>
</div>
</div>
</div>
<div id="outline-container-orgd8ca591" class="outline-2">
<h2 id="orgd8ca591"><span class="section-number-2">5</span> ESRF Equipment</h2>
<div class="outline-text-2" id="text-5">
</div>
<div id="outline-container-orgf0d4bad" class="outline-3">
<h3 id="orgf0d4bad"><span class="section-number-3">5.1</span> Geophones</h3>
<div class="outline-text-3" id="text-5-1">
</div>
<div id="outline-container-orgd84d4fd" class="outline-4">
<h4 id="orgd84d4fd"><span class="section-number-4">5.1.1</span> L-28LB</h4>
<div class="outline-text-4" id="text-5-1-1">
<ul class="org-ul"> <ul class="org-ul">
<li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li> <li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li>
<li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li> <li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li>
</ul> </ul>
<div id="org6cf1828" class="figure"> <div id="org1bf9371" class="figure">
<p><img src="./figs/L28LB.png" alt="L28LB.png" /> <p><img src="./figs/L28LB.png" alt="L28LB.png" />
</p> </p>
<p><span class="figure-number">Figure 1: </span>Picture of the L-28LB Geophone</p> <p><span class="figure-number">Figure 1: </span>Picture of the L-28LB Geophone</p>
</div> </div>
<table id="org5d7e4d7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="orge9ea8d7" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> L-28LB Parameters</caption> <caption class="t-above"><span class="table-number">Table 1:</span> L-28LB Parameters</caption>
<colgroup> <colgroup>
@ -195,7 +103,7 @@ Amplifiers:
</table> </table>
<p> <p>
We define the parameters of the geophone and we plot its bode plot (figure <a href="#org4050d43">2</a>). We define the parameters of the geophone and we plot its bode plot (figure <a href="#org3455372">2</a>).
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">w0 = 4.5<span class="org-type">*</span>2<span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span> <pre class="src src-matlab">w0 = 4.5<span class="org-type">*</span>2<span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
@ -206,7 +114,7 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
<div id="org4050d43" class="figure"> <div id="org3455372" class="figure">
<p><img src="figs/L28LB_bode_plot.png" alt="L28LB_bode_plot.png" /> <p><img src="figs/L28LB_bode_plot.png" alt="L28LB_bode_plot.png" />
</p> </p>
<p><span class="figure-number">Figure 2: </span>Bode plot of the L-28LB Geophone</p> <p><span class="figure-number">Figure 2: </span>Bode plot of the L-28LB Geophone</p>
@ -214,22 +122,22 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
</div> </div>
<div id="outline-container-org538a8d0" class="outline-4"> <div id="outline-container-orgb5de080" class="outline-4">
<h4 id="org538a8d0"><span class="section-number-4">5.1.2</span> L-4C</h4> <h4 id="orgb5de080"><span class="section-number-4">1.0.2</span> L-4C</h4>
<div class="outline-text-4" id="text-5-1-2"> <div class="outline-text-4" id="text-1-0-2">
<ul class="org-ul"> <ul class="org-ul">
<li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li> <li><a href="http://www.sercel.com/products/Pages/seismometers.aspx">http://www.sercel.com/products/Pages/seismometers.aspx</a></li>
<li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li> <li><a href="files/Geophones_specifications_Sercel_EN.pdf">Data Sheet</a>.</li>
</ul> </ul>
<div id="orgb638127" class="figure"> <div id="org96ab15a" class="figure">
<p><img src="./figs/L4C.png" alt="L4C.png" /> <p><img src="./figs/L4C.png" alt="L4C.png" />
</p> </p>
<p><span class="figure-number">Figure 3: </span>Picture of the L-4C Geophone</p> <p><span class="figure-number">Figure 3: </span>Picture of the L-4C Geophone</p>
</div> </div>
<table id="orgaf8c105" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="orgda25c82" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> L4C Parameters</caption> <caption class="t-above"><span class="table-number">Table 2:</span> L4C Parameters</caption>
<colgroup> <colgroup>
@ -260,7 +168,7 @@ The transfer function from the velocity and the measured voltage is defined belo
</p> </p>
<p> <p>
Its bode plot is shown on figure <a href="#orga4018d6">4</a>. Its bode plot is shown on figure <a href="#orgc2818ea">4</a>.
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
@ -272,7 +180,7 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
<div id="orga4018d6" class="figure"> <div id="orgc2818ea" class="figure">
<p><img src="figs/L4C_bode_plot.png" alt="L4C_bode_plot.png" /> <p><img src="figs/L4C_bode_plot.png" alt="L4C_bode_plot.png" />
</p> </p>
<p><span class="figure-number">Figure 4: </span>Bode plot of the L4C Geophone</p> <p><span class="figure-number">Figure 4: </span>Bode plot of the L4C Geophone</p>
@ -280,9 +188,9 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
</div> </div>
<div id="outline-container-org146e941" class="outline-4"> <div id="outline-container-orga947ef6" class="outline-4">
<h4 id="org146e941"><span class="section-number-4">5.1.3</span> L-22</h4> <h4 id="orga947ef6"><span class="section-number-4">1.0.3</span> L-22</h4>
<div class="outline-text-4" id="text-5-1-3"> <div class="outline-text-4" id="text-1-0-3">
<ul class="org-ul"> <ul class="org-ul">
<li><a href="https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor">https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor</a></li> <li><a href="https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor">https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor</a></li>
</ul> </ul>
@ -290,27 +198,27 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
</div> </div>
<div id="outline-container-org0011c20" class="outline-3"> <div id="outline-container-orgc204c4f" class="outline-2">
<h3 id="org0011c20"><span class="section-number-3">5.2</span> Accelerometers</h3> <h2 id="orgc204c4f"><span class="section-number-2">2</span> Accelerometers</h2>
<div class="outline-text-3" id="text-5-2"> <div class="outline-text-2" id="text-2">
</div> </div>
<div id="outline-container-orgadd6a99" class="outline-4"> <div id="outline-container-orge6637e2" class="outline-4">
<h4 id="orgadd6a99"><span class="section-number-4">5.2.1</span> Pieozoelectric acc. 356b18 - 3 axis</h4> <h4 id="orge6637e2"><span class="section-number-4">2.0.1</span> Pieozoelectric acc. 356b18 - 3 axis</h4>
<div class="outline-text-4" id="text-5-2-1"> <div class="outline-text-4" id="text-2-0-1">
<ul class="org-ul"> <ul class="org-ul">
<li><a href="https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/">https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/</a></li> <li><a href="https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/">https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/</a></li>
<li><a href="files/356B18_G.pdf">Data Sheet</a>.</li> <li><a href="files/356B18_G.pdf">Data Sheet</a>.</li>
</ul> </ul>
<div id="orgbd19879" class="figure"> <div id="org6b63845" class="figure">
<p><img src="./figs/356b18.jpg" alt="356b18.jpg" /> <p><img src="./figs/356b18.jpg" alt="356b18.jpg" />
</p> </p>
<p><span class="figure-number">Figure 5: </span>Pieozoelectric acc. 356b18 - 3 axis</p> <p><span class="figure-number">Figure 5: </span>Pieozoelectric acc. 356b18 - 3 axis</p>
</div> </div>
<table id="org6891936" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="org5d046ee" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 3:</span> 356b18 Parameters</caption> <caption class="t-above"><span class="table-number">Table 3:</span> 356b18 Parameters</caption>
<colgroup> <colgroup>
@ -348,23 +256,23 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
</div> </div>
<div id="outline-container-org1d721b4" class="outline-4"> <div id="outline-container-org6593c04" class="outline-4">
<h4 id="org1d721b4"><span class="section-number-4">5.2.2</span> Ceramic acc. 393B05 - 1 axis</h4> <h4 id="org6593c04"><span class="section-number-4">2.0.2</span> Ceramic acc. 393B05 - 1 axis</h4>
<div class="outline-text-4" id="text-5-2-2"> <div class="outline-text-4" id="text-2-0-2">
<ul class="org-ul"> <ul class="org-ul">
<li><a href="http://www.pcb.com/products.aspx?m=393B05">http://www.pcb.com/products.aspx?m=393B05</a></li> <li><a href="http://www.pcb.com/products.aspx?m=393B05">http://www.pcb.com/products.aspx?m=393B05</a></li>
<li><a href="files/393B05_K.pdf">Data Sheet</a>.</li> <li><a href="files/393B05_K.pdf">Data Sheet</a>.</li>
</ul> </ul>
<div id="orgb9333e5" class="figure"> <div id="orgcb89472" class="figure">
<p><img src="./figs/393b05.jpg" alt="393b05.jpg" /> <p><img src="./figs/393b05.jpg" alt="393b05.jpg" />
</p> </p>
<p><span class="figure-number">Figure 6: </span>Ceramic acc. 393B05 - 1 axis</p> <p><span class="figure-number">Figure 6: </span>Ceramic acc. 393B05 - 1 axis</p>
</div> </div>
<table id="orgde2094e" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides"> <table id="orgc7127ce" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 4:</span> 393B05 Parameters</caption> <caption class="t-above"><span class="table-number">Table 4:</span> 393B05 Parameters</caption>
<colgroup> <colgroup>
@ -402,19 +310,18 @@ G = G0<span class="org-type">*</span>(s<span class="org-type">/</span>w0)<span c
</div> </div>
</div> </div>
</div> </div>
<div id="outline-container-org72ba891" class="outline-3"> <div id="outline-container-orgbec3a31" class="outline-2">
<h3 id="org72ba891"><span class="section-number-3">5.3</span> Modal analysis</h3> <h2 id="orgbec3a31"><span class="section-number-2">3</span> Modal analysis</h2>
<div class="outline-text-3" id="text-5-3"> <div class="outline-text-2" id="text-3">
<p> <p>
<a href="http://www.oros.com/3900-oros-modal-2.htm">http://www.oros.com/3900-oros-modal-2.htm</a> <a href="http://www.oros.com/3900-oros-modal-2.htm">http://www.oros.com/3900-oros-modal-2.htm</a>
</p> </p>
</div> </div>
</div> </div>
</div> </div>
</div>
<div id="postamble" class="status"> <div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p> <p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-11-12 jeu. 10:27</p> <p class="date">Created: 2020-11-24 mar. 17:41</p>
</div> </div>
</body> </body>
</html> </html>

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@ -36,39 +36,7 @@
#+PROPERTY: header-args:shell :eval no-export #+PROPERTY: header-args:shell :eval no-export
:END: :END:
* Measurement System / Acquisition System * Geophones
** Modal Analysis
https://dewesoft.com/applications/structural-dynamics/modal-analysis
Polytec 3D Scanning Laser Vibrometer https://www.polytec.com/us/vibrometry/products/full-field-vibrometers/psv-500-scanning-vibrometer/
* Control System
https://www.opal-rt.com/
https://www.speedgoat.com/
https://www.dspace.com/en/inc/home/products/hw/microlabbox.cfm
https://www.ni.com/fr-fr/shop/pc-based-measurement-and-control-system.html
* Positioning Stages
** Hexapods
- https://www.alioindustries.com/
- https://www.symetrie.fr/en/home/
- https://www.physikinstrumente.com/en/products/parallel-kinematic-hexapods/
** Translation/Rotation Stage
- https://www.attocube.com/en/products/nanopositioners
- https://www.physikinstrumente.com/en/
- https://www.aerotech.com/
- https://www.etel.ch/
* Amplifiers
** Current Amplifiers
** Voltage Amplifiers
Amplifiers:
https://www.cedrat-technologies.com/en/products/piezo-controllers/electronic-amplifier-boards.html
* ESRF Equipment
** Geophones
*** L-28LB *** L-28LB
- http://www.sercel.com/products/Pages/seismometers.aspx - http://www.sercel.com/products/Pages/seismometers.aspx
- [[file:files/Geophones_specifications_Sercel_EN.pdf][Data Sheet]]. - [[file:files/Geophones_specifications_Sercel_EN.pdf][Data Sheet]].
@ -190,7 +158,7 @@ Its bode plot is shown on figure [[fig:L4C_bode_plot]].
*** L-22 *** L-22
- https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor - https://www.passcal.nmt.edu/content/instrumentation/sensors/short-period-sensors/l-22-sp-sensor
** Accelerometers * Accelerometers
*** Pieozoelectric acc. 356b18 - 3 axis *** Pieozoelectric acc. 356b18 - 3 axis
- https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/ - https://www.pcbpiezotronics.fr/produit/accelerometres/356b18/
- [[file:files/356B18_G.pdf][Data Sheet]]. - [[file:files/356B18_G.pdf][Data Sheet]].
@ -224,5 +192,5 @@ Its bode plot is shown on figure [[fig:L4C_bode_plot]].
| Frequency Range (±5 %) | 0.7 to 450 Hz | | Frequency Range (±5 %) | 0.7 to 450 Hz |
| resonant frequency | > 2500 hz | | resonant frequency | > 2500 hz |
| broadband resolution | 0.00004 $m/s^2$ rms | | broadband resolution | 0.00004 $m/s^2$ rms |
** Modal analysis * Modal analysis
http://www.oros.com/3900-oros-modal-2.htm http://www.oros.com/3900-oros-modal-2.htm

192
instrumentation/index.html
View File

@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head> <head>
<!-- 2020-11-12 jeu. 10:28 --> <!-- 2020-11-12 jeu. 16:39 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" /> <meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Measurements on the instrumentation</title> <title>Measurements on the instrumentation</title>
<meta name="generator" content="Org mode" /> <meta name="generator" content="Org mode" />
@ -30,40 +30,40 @@
<h2>Table of Contents</h2> <h2>Table of Contents</h2>
<div id="text-table-of-contents"> <div id="text-table-of-contents">
<ul> <ul>
<li><a href="#org0b9c6e7">1. Measure of the noise of the Voltage Amplifier</a> <li><a href="#org575a2ef">1. Measure of the noise of the Voltage Amplifier</a>
<ul> <ul>
<li><a href="#orgce5ef47">1.1. Measurement Description</a></li> <li><a href="#orgf7d6556">1.1. Measurement Description</a></li>
<li><a href="#org4658c5c">1.2. Load data</a></li> <li><a href="#org355a7b5">1.2. Load data</a></li>
<li><a href="#org5de2d60">1.3. Time Domain</a></li> <li><a href="#orgdd9efc8">1.3. Time Domain</a></li>
<li><a href="#org5fc539a">1.4. Frequency Domain</a></li> <li><a href="#org2042f75">1.4. Frequency Domain</a></li>
<li><a href="#orgbc39043">1.5. Conclusion</a></li> <li><a href="#org58e87f6">1.5. Conclusion</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org182f3d2">2. Measure of the influence of the AC/DC option on the voltage amplifiers</a> <li><a href="#org5837403">2. Measure of the influence of the AC/DC option on the voltage amplifiers</a>
<ul> <ul>
<li><a href="#orgc5cfc61">2.1. Measurement Description</a></li> <li><a href="#orgdbe55cf">2.1. Measurement Description</a></li>
<li><a href="#org0c0a3f2">2.2. Load data</a></li> <li><a href="#org7456e69">2.2. Load data</a></li>
<li><a href="#orgb381461">2.3. Time Domain</a></li> <li><a href="#org25d2f84">2.3. Time Domain</a></li>
<li><a href="#org831a8d7">2.4. Frequency Domain</a></li> <li><a href="#org089c2d7">2.4. Frequency Domain</a></li>
<li><a href="#org0f7903d">2.5. Conclusion</a></li> <li><a href="#orgf774275">2.5. Conclusion</a></li>
</ul> </ul>
</li> </li>
<li><a href="#orge486804">3. Transfer function of the Low Pass Filter</a> <li><a href="#org53c2f0f">3. Transfer function of the Low Pass Filter</a>
<ul> <ul>
<li><a href="#org400e34d">3.1. First LPF with a Cut-off frequency of 160Hz</a> <li><a href="#orge98780d">3.1. First LPF with a Cut-off frequency of 160Hz</a>
<ul> <ul>
<li><a href="#org8e6b3f9">3.1.1. Measurement Description</a></li> <li><a href="#org96fa587">3.1.1. Measurement Description</a></li>
<li><a href="#org3c2d014">3.1.2. Load data</a></li> <li><a href="#orgf82e4ab">3.1.2. Load data</a></li>
<li><a href="#orgddafe0a">3.1.3. Transfer function of the LPF</a></li> <li><a href="#org9c9a07c">3.1.3. Transfer function of the LPF</a></li>
<li><a href="#org7a0daf9">3.1.4. Conclusion</a></li> <li><a href="#orgb110f25">3.1.4. Conclusion</a></li>
</ul> </ul>
</li> </li>
<li><a href="#org5504322">3.2. Second LPF with a Cut-off frequency of 1000Hz</a> <li><a href="#org1edfecc">3.2. Second LPF with a Cut-off frequency of 1000Hz</a>
<ul> <ul>
<li><a href="#orge51e102">3.2.1. Measurement description</a></li> <li><a href="#org60fea06">3.2.1. Measurement description</a></li>
<li><a href="#org609fd78">3.2.2. Load data</a></li> <li><a href="#org0ffd8a4">3.2.2. Load data</a></li>
<li><a href="#orgad7e872">3.2.3. Transfer function of the LPF</a></li> <li><a href="#org39f2fc3">3.2.3. Transfer function of the LPF</a></li>
<li><a href="#org73a58fb">3.2.4. Conclusion</a></li> <li><a href="#org127ac21">3.2.4. Conclusion</a></li>
</ul> </ul>
</li> </li>
</ul> </ul>
@ -72,13 +72,13 @@
</div> </div>
</div> </div>
<div id="outline-container-org0b9c6e7" class="outline-2"> <div id="outline-container-org575a2ef" class="outline-2">
<h2 id="org0b9c6e7"><span class="section-number-2">1</span> Measure of the noise of the Voltage Amplifier</h2> <h2 id="org575a2ef"><span class="section-number-2">1</span> Measure of the noise of the Voltage Amplifier</h2>
<div class="outline-text-2" id="text-1"> <div class="outline-text-2" id="text-1">
<p> <p>
<a id="org6a52764"></a> <a id="org87914f2"></a>
</p> </p>
<div class="note" id="orge2ed99a"> <div class="note" id="orged55ddc">
<p> <p>
All the files (data and Matlab scripts) are accessible <a href="data/meas_volt_amp.zip">here</a>. All the files (data and Matlab scripts) are accessible <a href="data/meas_volt_amp.zip">here</a>.
</p> </p>
@ -86,8 +86,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_volt_a
</div> </div>
</div> </div>
<div id="outline-container-orgce5ef47" class="outline-3"> <div id="outline-container-orgf7d6556" class="outline-3">
<h3 id="orgce5ef47"><span class="section-number-3">1.1</span> Measurement Description</h3> <h3 id="orgf7d6556"><span class="section-number-3">1.1</span> Measurement Description</h3>
<div class="outline-text-3" id="text-1-1"> <div class="outline-text-3" id="text-1-1">
<p> <p>
<b>Goal</b>: <b>Goal</b>:
@ -118,8 +118,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_volt_a
</div> </div>
</div> </div>
<div id="outline-container-org4658c5c" class="outline-3"> <div id="outline-container-org355a7b5" class="outline-3">
<h3 id="org4658c5c"><span class="section-number-3">1.2</span> Load data</h3> <h3 id="org355a7b5"><span class="section-number-3">1.2</span> Load data</h3>
<div class="outline-text-3" id="text-1-2"> <div class="outline-text-3" id="text-1-2">
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">amp_off = load(<span class="org-string">'mat/data_003.mat'</span>, <span class="org-string">'data'</span>); amp_off = amp_off.data(<span class="org-type">:</span>, [1,3]); <pre class="src src-matlab">amp_off = load(<span class="org-string">'mat/data_003.mat'</span>, <span class="org-string">'data'</span>); amp_off = amp_off.data(<span class="org-type">:</span>, [1,3]);
@ -131,15 +131,15 @@ amp_60d = load(<span class="org-string">'mat/data_006.mat'</span>, <span class="
</div> </div>
</div> </div>
<div id="outline-container-org5de2d60" class="outline-3"> <div id="outline-container-orgdd9efc8" class="outline-3">
<h3 id="org5de2d60"><span class="section-number-3">1.3</span> Time Domain</h3> <h3 id="orgdd9efc8"><span class="section-number-3">1.3</span> Time Domain</h3>
<div class="outline-text-3" id="text-1-3"> <div class="outline-text-3" id="text-1-3">
<p> <p>
The time domain signals are shown on figure <a href="#org2fccd36">1</a>. The time domain signals are shown on figure <a href="#orgffaa33c">1</a>.
</p> </p>
<div id="org2fccd36" class="figure"> <div id="orgffaa33c" class="figure">
<p><img src="figs/ampli_noise_time.png" alt="ampli_noise_time.png" /> <p><img src="figs/ampli_noise_time.png" alt="ampli_noise_time.png" />
</p> </p>
<p><span class="figure-number">Figure 1: </span>Output of the amplifier</p> <p><span class="figure-number">Figure 1: </span>Output of the amplifier</p>
@ -147,8 +147,8 @@ The time domain signals are shown on figure <a href="#org2fccd36">1</a>.
</div> </div>
</div> </div>
<div id="outline-container-org5fc539a" class="outline-3"> <div id="outline-container-org2042f75" class="outline-3">
<h3 id="org5fc539a"><span class="section-number-3">1.4</span> Frequency Domain</h3> <h3 id="org2042f75"><span class="section-number-3">1.4</span> Frequency Domain</h3>
<div class="outline-text-3" id="text-1-4"> <div class="outline-text-3" id="text-1-4">
<p> <p>
We first compute some parameters that will be used for the PSD computation. We first compute some parameters that will be used for the PSD computation.
@ -183,10 +183,10 @@ Sq = q<span class="org-type">^</span>2<span class="org-type">/</span>12<span cla
</div> </div>
<p> <p>
Finally, the ASD is shown on figure <a href="#org46e6591">2</a>. Finally, the ASD is shown on figure <a href="#org1514c56">2</a>.
</p> </p>
<div id="org46e6591" class="figure"> <div id="org1514c56" class="figure">
<p><img src="figs/ampli_noise_psd.png" alt="ampli_noise_psd.png" /> <p><img src="figs/ampli_noise_psd.png" alt="ampli_noise_psd.png" />
</p> </p>
<p><span class="figure-number">Figure 2: </span>Amplitude Spectral Density of the measured voltage at the output of the voltage amplifier</p> <p><span class="figure-number">Figure 2: </span>Amplitude Spectral Density of the measured voltage at the output of the voltage amplifier</p>
@ -194,10 +194,10 @@ Finally, the ASD is shown on figure <a href="#org46e6591">2</a>.
</div> </div>
</div> </div>
<div id="outline-container-orgbc39043" class="outline-3"> <div id="outline-container-org58e87f6" class="outline-3">
<h3 id="orgbc39043"><span class="section-number-3">1.5</span> Conclusion</h3> <h3 id="org58e87f6"><span class="section-number-3">1.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-5"> <div class="outline-text-3" id="text-1-5">
<div class="important" id="orgb8e9939"> <div class="important" id="org7198d4c">
<p> <p>
<b>Questions</b>: <b>Questions</b>:
</p> </p>
@ -214,13 +214,13 @@ Noise induced by the voltage amplifiers seems not to be a limiting factor as we
</div> </div>
</div> </div>
<div id="outline-container-org182f3d2" class="outline-2"> <div id="outline-container-org5837403" class="outline-2">
<h2 id="org182f3d2"><span class="section-number-2">2</span> Measure of the influence of the AC/DC option on the voltage amplifiers</h2> <h2 id="org5837403"><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"> <div class="outline-text-2" id="text-2">
<p> <p>
<a id="org4bf4c36"></a> <a id="org4e0bd48"></a>
</p> </p>
<div class="note" id="org66d7fee"> <div class="note" id="org4311309">
<p> <p>
All the files (data and Matlab scripts) are accessible <a href="data/meas_noise_ac_dc.zip">here</a>. All the files (data and Matlab scripts) are accessible <a href="data/meas_noise_ac_dc.zip">here</a>.
</p> </p>
@ -228,8 +228,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/meas_noise_
</div> </div>
</div> </div>
<div id="outline-container-orgc5cfc61" class="outline-3"> <div id="outline-container-orgdbe55cf" class="outline-3">
<h3 id="orgc5cfc61"><span class="section-number-3">2.1</span> Measurement Description</h3> <h3 id="orgdbe55cf"><span class="section-number-3">2.1</span> Measurement Description</h3>
<div class="outline-text-3" id="text-2-1"> <div class="outline-text-3" id="text-2-1">
<p> <p>
<b>Goal</b>: <b>Goal</b>:
@ -319,7 +319,7 @@ Second measurement (<code>mat/data_015.mat</code> file):
</table> </table>
<div id="org52bc26f" class="figure"> <div id="org7c3455c" class="figure">
<p><img src="./img/IMG_20190503_170936.jpg" alt="IMG_20190503_170936.jpg" width="500px" /> <p><img src="./img/IMG_20190503_170936.jpg" alt="IMG_20190503_170936.jpg" width="500px" />
</p> </p>
<p><span class="figure-number">Figure 3: </span>Picture of the two voltages amplifiers</p> <p><span class="figure-number">Figure 3: </span>Picture of the two voltages amplifiers</p>
@ -327,8 +327,8 @@ Second measurement (<code>mat/data_015.mat</code> file):
</div> </div>
</div> </div>
<div id="outline-container-org0c0a3f2" class="outline-3"> <div id="outline-container-org7456e69" class="outline-3">
<h3 id="org0c0a3f2"><span class="section-number-3">2.2</span> Load data</h3> <h3 id="org7456e69"><span class="section-number-3">2.2</span> Load data</h3>
<div class="outline-text-3" id="text-2-2"> <div class="outline-text-3" id="text-2-2">
<p> <p>
We load the data of the z axis of two geophones. We load the data of the z axis of two geophones.
@ -341,14 +341,14 @@ meas15 = load(<span class="org-string">'mat/data_015.mat'</span>, <span class="o
</div> </div>
</div> </div>
<div id="outline-container-orgb381461" class="outline-3"> <div id="outline-container-org25d2f84" class="outline-3">
<h3 id="orgb381461"><span class="section-number-3">2.3</span> Time Domain</h3> <h3 id="org25d2f84"><span class="section-number-3">2.3</span> Time Domain</h3>
<div class="outline-text-3" id="text-2-3"> <div class="outline-text-3" id="text-2-3">
<p> <p>
The signals are shown on figure <a href="#org26ff108">4</a>. The signals are shown on figure <a href="#orgbb51b92">4</a>.
</p> </p>
<div id="org26ff108" class="figure"> <div id="orgbb51b92" class="figure">
<p><img src="figs/ac_dc_option_time.png" alt="ac_dc_option_time.png" /> <p><img src="figs/ac_dc_option_time.png" alt="ac_dc_option_time.png" />
</p> </p>
<p><span class="figure-number">Figure 4: </span>Comparison of the signals going through the Voltage amplifiers</p> <p><span class="figure-number">Figure 4: </span>Comparison of the signals going through the Voltage amplifiers</p>
@ -356,8 +356,8 @@ The signals are shown on figure <a href="#org26ff108">4</a>.
</div> </div>
</div> </div>
<div id="outline-container-org831a8d7" class="outline-3"> <div id="outline-container-org089c2d7" class="outline-3">
<h3 id="org831a8d7"><span class="section-number-3">2.4</span> Frequency Domain</h3> <h3 id="org089c2d7"><span class="section-number-3">2.4</span> Frequency Domain</h3>
<div class="outline-text-3" id="text-2-4"> <div class="outline-text-3" id="text-2-4">
<p> <p>
We first compute some parameters that will be used for the PSD computation. We first compute some parameters that will be used for the PSD computation.
@ -384,10 +384,10 @@ Then we compute the Power Spectral Density using <code>pwelch</code> function.
</div> </div>
<p> <p>
The ASD of the signals are compare on figure <a href="#org252ca9f">5</a>. The ASD of the signals are compare on figure <a href="#orge363ddf">5</a>.
</p> </p>
<div id="org252ca9f" class="figure"> <div id="orge363ddf" class="figure">
<p><img src="figs/ac_dc_option_asd.png" alt="ac_dc_option_asd.png" /> <p><img src="figs/ac_dc_option_asd.png" alt="ac_dc_option_asd.png" />
</p> </p>
<p><span class="figure-number">Figure 5: </span>Amplitude Spectral Density of the measured signals</p> <p><span class="figure-number">Figure 5: </span>Amplitude Spectral Density of the measured signals</p>
@ -395,10 +395,10 @@ The ASD of the signals are compare on figure <a href="#org252ca9f">5</a>.
</div> </div>
</div> </div>
<div id="outline-container-org0f7903d" class="outline-3"> <div id="outline-container-orgf774275" class="outline-3">
<h3 id="org0f7903d"><span class="section-number-3">2.5</span> Conclusion</h3> <h3 id="orgf774275"><span class="section-number-3">2.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-5"> <div class="outline-text-3" id="text-2-5">
<div class="important" id="orga7652b6"> <div class="important" id="org4302749">
<ul class="org-ul"> <ul class="org-ul">
<li>The voltage amplifiers include some very sharp high pass filters at 1.5Hz (maybe 4th order)</li> <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> <li>There is a DC offset on the time domain signal because the DC-offset knob was not set to zero</li>
@ -409,23 +409,23 @@ The ASD of the signals are compare on figure <a href="#org252ca9f">5</a>.
</div> </div>
</div> </div>
<div id="outline-container-orge486804" class="outline-2"> <div id="outline-container-org53c2f0f" class="outline-2">
<h2 id="orge486804"><span class="section-number-2">3</span> Transfer function of the Low Pass Filter</h2> <h2 id="org53c2f0f"><span class="section-number-2">3</span> Transfer function of the Low Pass Filter</h2>
<div class="outline-text-2" id="text-3"> <div class="outline-text-2" id="text-3">
<p> <p>
<a id="orgae11ccf"></a> <a id="org1dde479"></a>
</p> </p>
<p> <p>
The computation files for this section are accessible <a href="data/low_pass_filter_measurements.zip">here</a>. The computation files for this section are accessible <a href="data/low_pass_filter_measurements.zip">here</a>.
</p> </p>
</div> </div>
<div id="outline-container-org400e34d" class="outline-3"> <div id="outline-container-orge98780d" class="outline-3">
<h3 id="org400e34d"><span class="section-number-3">3.1</span> First LPF with a Cut-off frequency of 160Hz</h3> <h3 id="orge98780d"><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 class="outline-text-3" id="text-3-1">
</div> </div>
<div id="outline-container-org8e6b3f9" class="outline-4"> <div id="outline-container-org96fa587" class="outline-4">
<h4 id="org8e6b3f9"><span class="section-number-4">3.1.1</span> Measurement Description</h4> <h4 id="org96fa587"><span class="section-number-4">3.1.1</span> Measurement Description</h4>
<div class="outline-text-4" id="text-3-1-1"> <div class="outline-text-4" id="text-3-1-1">
<p> <p>
<b>Goal</b>: <b>Goal</b>:
@ -446,7 +446,7 @@ Which makes a cut-off frequency of \(f_c = \frac{1}{RC} = 1000 rad/s = 160Hz\).
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-latex" id="orgebabef7"><span class="org-font-latex-sedate"><span class="org-keyword">\begin</span></span>{<span class="org-function-name">tikzpicture</span>} <pre class="src src-latex" id="orgedba10d"><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) <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 [R=<span class="org-font-latex-sedate"><span class="org-font-latex-math">\(R\)</span></span>] ++(2,0) node[circ]
to ++(2,0) to ++(2,0)
@ -460,7 +460,7 @@ Which makes a cut-off frequency of \(f_c = \frac{1}{RC} = 1000 rad/s = 160Hz\).
</div> </div>
<div id="org19a615d" class="figure"> <div id="org75b8ca4" class="figure">
<p><img src="figs/lpf.png" alt="lpf.png" /> <p><img src="figs/lpf.png" alt="lpf.png" />
</p> </p>
<p><span class="figure-number">Figure 6: </span>Schematic of the Low Pass Filter used</p> <p><span class="figure-number">Figure 6: </span>Schematic of the Low Pass Filter used</p>
@ -513,7 +513,7 @@ Which makes a cut-off frequency of \(f_c = \frac{1}{RC} = 1000 rad/s = 160Hz\).
</table> </table>
<div id="org91c0742" class="figure"> <div id="org1f2ff7e" class="figure">
<p><img src="./img/IMG_20190507_102756.jpg" alt="IMG_20190507_102756.jpg" width="500px" /> <p><img src="./img/IMG_20190507_102756.jpg" alt="IMG_20190507_102756.jpg" width="500px" />
</p> </p>
<p><span class="figure-number">Figure 7: </span>Picture of the low pass filter used</p> <p><span class="figure-number">Figure 7: </span>Picture of the low pass filter used</p>
@ -521,8 +521,8 @@ Which makes a cut-off frequency of \(f_c = \frac{1}{RC} = 1000 rad/s = 160Hz\).
</div> </div>
</div> </div>
<div id="outline-container-org3c2d014" class="outline-4"> <div id="outline-container-orgf82e4ab" class="outline-4">
<h4 id="org3c2d014"><span class="section-number-4">3.1.2</span> Load data</h4> <h4 id="orgf82e4ab"><span class="section-number-4">3.1.2</span> Load data</h4>
<div class="outline-text-4" id="text-3-1-2"> <div class="outline-text-4" id="text-3-1-2">
<p> <p>
We load the data of the z axis of two geophones. We load the data of the z axis of two geophones.
@ -534,8 +534,8 @@ We load the data of the z axis of two geophones.
</div> </div>
</div> </div>
<div id="outline-container-orgddafe0a" class="outline-4"> <div id="outline-container-org9c9a07c" class="outline-4">
<h4 id="orgddafe0a"><span class="section-number-4">3.1.3</span> Transfer function of the LPF</h4> <h4 id="org9c9a07c"><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"> <div class="outline-text-4" id="text-3-1-3">
<p> <p>
We compute the transfer function from the signal without the LPF to the signal measured with the LPF. We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
@ -556,7 +556,7 @@ win = hanning(ceil(10<span class="org-type">*</span>Fs));
<p> <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 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="#orgb174301">8</a>. We obtain the result on figure <a href="#orga5b8e9e">8</a>.
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">Gth = 1<span class="org-type">/</span>(1<span class="org-type">+</span>s<span class="org-type">/</span>1000) <pre class="src src-matlab">Gth = 1<span class="org-type">/</span>(1<span class="org-type">+</span>s<span class="org-type">/</span>1000)
@ -590,17 +590,17 @@ xlim([1, 500]);
</div> </div>
<div id="orgb174301" class="figure"> <div id="orga5b8e9e" class="figure">
<p><img src="figs/Glpf_bode.png" alt="Glpf_bode.png" /> <p><img src="figs/Glpf_bode.png" alt="Glpf_bode.png" />
</p> </p>
<p><span class="figure-number">Figure 8: </span>Bode Diagram of the measured Low Pass filter and the theoritical one</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>
</div> </div>
<div id="outline-container-org7a0daf9" class="outline-4"> <div id="outline-container-orgb110f25" class="outline-4">
<h4 id="org7a0daf9"><span class="section-number-4">3.1.4</span> Conclusion</h4> <h4 id="orgb110f25"><span class="section-number-4">3.1.4</span> Conclusion</h4>
<div class="outline-text-4" id="text-3-1-4"> <div class="outline-text-4" id="text-3-1-4">
<div class="important" id="org84503a8"> <div class="important" id="orgdd53898">
<p> <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 \(1kHz\). 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> </p>
@ -610,12 +610,12 @@ As we want to measure things up to \(500Hz\), we chose to change the value of th
</div> </div>
</div> </div>
<div id="outline-container-org5504322" class="outline-3"> <div id="outline-container-org1edfecc" class="outline-3">
<h3 id="org5504322"><span class="section-number-3">3.2</span> Second LPF with a Cut-off frequency of 1000Hz</h3> <h3 id="org1edfecc"><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 class="outline-text-3" id="text-3-2">
</div> </div>
<div id="outline-container-orge51e102" class="outline-4"> <div id="outline-container-org60fea06" class="outline-4">
<h4 id="orge51e102"><span class="section-number-4">3.2.1</span> Measurement description</h4> <h4 id="org60fea06"><span class="section-number-4">3.2.1</span> Measurement description</h4>
<div class="outline-text-4" id="text-3-2-1"> <div class="outline-text-4" id="text-3-2-1">
<p> <p>
This time, the value are This time, the value are
@ -630,8 +630,8 @@ Which makes a low pass filter with a cut-off frequency of \(f_c = 1060Hz\).
</div> </div>
</div> </div>
<div id="outline-container-org609fd78" class="outline-4"> <div id="outline-container-org0ffd8a4" class="outline-4">
<h4 id="org609fd78"><span class="section-number-4">3.2.2</span> Load data</h4> <h4 id="org0ffd8a4"><span class="section-number-4">3.2.2</span> Load data</h4>
<div class="outline-text-4" id="text-3-2-2"> <div class="outline-text-4" id="text-3-2-2">
<p> <p>
We load the data of the z axis of two geophones. We load the data of the z axis of two geophones.
@ -643,8 +643,8 @@ We load the data of the z axis of two geophones.
</div> </div>
</div> </div>
<div id="outline-container-orgad7e872" class="outline-4"> <div id="outline-container-org39f2fc3" class="outline-4">
<h4 id="orgad7e872"><span class="section-number-4">3.2.3</span> Transfer function of the LPF</h4> <h4 id="org39f2fc3"><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"> <div class="outline-text-4" id="text-3-2-3">
<p> <p>
We compute the transfer function from the signal without the LPF to the signal measured with the LPF. We compute the transfer function from the signal without the LPF to the signal measured with the LPF.
@ -665,7 +665,7 @@ win = hanning(ceil(10<span class="org-type">*</span>Fs));
<p> <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 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="#org9707219">9</a>. We obtain the result on figure <a href="#org16c9122">9</a>.
</p> </p>
<div class="org-src-container"> <div class="org-src-container">
<pre class="src src-matlab">Gth = 1<span class="org-type">/</span>(1<span class="org-type">+</span>s<span class="org-type">/</span>1060<span class="org-type">/</span>2<span class="org-type">/</span><span class="org-constant">pi</span>); <pre class="src src-matlab">Gth = 1<span class="org-type">/</span>(1<span class="org-type">+</span>s<span class="org-type">/</span>1060<span class="org-type">/</span>2<span class="org-type">/</span><span class="org-constant">pi</span>);
@ -699,17 +699,17 @@ xlim([1, 500]);
</div> </div>
<div id="org9707219" class="figure"> <div id="org16c9122" class="figure">
<p><img src="figs/Glpf_bode_bis.png" alt="Glpf_bode_bis.png" /> <p><img src="figs/Glpf_bode_bis.png" alt="Glpf_bode_bis.png" />
</p> </p>
<p><span class="figure-number">Figure 9: </span>Bode Diagram of the measured Low Pass filter and the theoritical one</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>
</div> </div>
<div id="outline-container-org73a58fb" class="outline-4"> <div id="outline-container-org127ac21" class="outline-4">
<h4 id="org73a58fb"><span class="section-number-4">3.2.4</span> Conclusion</h4> <h4 id="org127ac21"><span class="section-number-4">3.2.4</span> Conclusion</h4>
<div class="outline-text-4" id="text-3-2-4"> <div class="outline-text-4" id="text-3-2-4">
<div class="important" id="org1fede99"> <div class="important" id="orgd954ff9">
<p> <p>
The added LPF has the expected behavior. The added LPF has the expected behavior.
</p> </p>
@ -722,7 +722,7 @@ The added LPF has the expected behavior.
</div> </div>
<div id="postamble" class="status"> <div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p> <p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-11-12 jeu. 10:28</p> <p class="date">Created: 2020-11-12 jeu. 16:39</p>
</div> </div>
</body> </body>
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