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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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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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<!-- 2020-07-17 ven. 11:55 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<title>Test Bench APA</title>
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<meta name="generator" content="Org mode" />
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<meta name="author" content="Dehaeze Thomas" />
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<link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
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<link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
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<link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
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<script type="text/javascript" src="../js/jquery.min.js"></script>
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<script type="text/javascript" src="../js/bootstrap.min.js"></script>
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<script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
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<script type="text/javascript" src="../js/readtheorg.js"></script>
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</head>
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<body>
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<div id="org-div-home-and-up">
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<a accesskey="h" href="../index.html"> UP </a>
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<a accesskey="H" href="../index.html"> HOME </a>
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</div><div id="content">
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<h1 class="title">Test Bench APA</h1>
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<div id="table-of-contents">
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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="#orgf243093">1. Parameters</a></li>
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<li><a href="#org523b657">2. Filter White Noise</a></li>
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<li><a href="#org422b8fd">3. Load Data</a></li>
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<li><a href="#orgbbba70f">4. Time Domain Data</a></li>
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<li><a href="#org14d27d9">5. Compute TF estimate and Coherence</a></li>
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<li><a href="#orgf7c6889">6. Coherence</a></li>
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<li><a href="#org2153f21">7. Transfer Function</a></li>
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</ul>
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</div>
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</div>
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<div id="outline-container-orgf243093" class="outline-2">
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<h2 id="orgf243093"><span class="section-number-2">1</span> Parameters</h2>
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<div class="outline-text-2" id="text-1">
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<div class="org-src-container">
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<pre class="src src-matlab">Ts = 1e-4;
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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-org523b657" class="outline-2">
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<h2 id="org523b657"><span class="section-number-2">2</span> Filter White Noise</h2>
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<div class="outline-text-2" id="text-2">
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<div class="org-src-container">
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<pre class="src src-matlab">Glpf = 1/(1 + s/2/pi/500);
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Gz = c2d(Glpf, Ts, 'tustin');
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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-org422b8fd" class="outline-2">
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<h2 id="org422b8fd"><span class="section-number-2">3</span> Load Data</h2>
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<div class="outline-text-2" id="text-3">
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<div class="org-src-container">
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<pre class="src src-matlab">data = SimulinkRealTime.utils.getFileScopeData('data/apa95ml_5kg.dat').data;
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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-orgbbba70f" class="outline-2">
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<h2 id="orgbbba70f"><span class="section-number-2">4</span> Time Domain Data</h2>
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<div class="outline-text-2" id="text-4">
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<div class="org-src-container">
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<pre class="src src-matlab">figure;
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subplot(1,2,1);
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plot(data(:, 3), data(:, 1))
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ylabel('Input Voltage [V]'); xlabel('Time [s]');
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subplot(1,2,2);
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plot(data(:, 3), data(:, 2))
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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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-org14d27d9" class="outline-2">
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<h2 id="org14d27d9"><span class="section-number-2">5</span> Compute TF estimate and Coherence</h2>
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<div class="outline-text-2" id="text-5">
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<div class="org-src-container">
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<pre class="src src-matlab">win = hann(ceil(1/Ts));
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[tf_est, f] = tfestimate(data(:, 1), -data(:, 2), win, [], [], 1/Ts);
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[co_est, ~] = mscohere( data(:, 1), -data(:, 2), win, [], [], 1/Ts);
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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-orgf7c6889" class="outline-2">
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<h2 id="orgf7c6889"><span class="section-number-2">6</span> Coherence</h2>
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<div class="outline-text-2" id="text-6">
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<div class="org-src-container">
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<pre class="src src-matlab">figure;
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hold on;
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plot(f, co_est, 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Coherence'); xlabel('Frequency [Hz]');
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hold off;
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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-org2153f21" class="outline-2">
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<h2 id="org2153f21"><span class="section-number-2">7</span> Transfer Function</h2>
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<div class="outline-text-2" id="text-7">
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<div class="org-src-container">
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<pre class="src src-matlab">figure;
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ax1 = subplot(2, 1, 1);
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hold on;
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plot(f, abs(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
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ylabel('Amplitude'); xlabel('Frequency [Hz]');
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hold off;
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(f, 180/pi*angle(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Phase'); xlabel('Frequency [Hz]');
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legend();
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hold off;
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linkaxes([ax1,ax2], 'x');
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xlim([10, 5000]);
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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>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-07-17 ven. 11:55</p>
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</div>
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</body>
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</html>
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