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<h2>Table of Contents</h2>
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					<h2>Table of Contents</h2>
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<ul>
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					<ul>
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<li><a href="#orgf243093">1. Parameters</a></li>
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					<li><a href="#orgc824287">1. Setup</a>
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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="#orgd7519f6">1.1. Parameters</a></li>
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<li><a href="#orgbbba70f">4. Time Domain Data</a></li>
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					<li><a href="#org6b6fba7">1.2. Filter White Noise</a></li>
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<li><a href="#org14d27d9">5. Compute TF estimate and Coherence</a></li>
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					</ul>
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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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					<li><a href="#orge67785b">2. Run Experiment and Save Data</a>
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					<li><a href="#orgb713921">2.1. Load Data</a></li>
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					<li><a href="#org76c3b29">2.2. Save Data</a></li>
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					<li><a href="#org9fd96de">3. Huddle Test</a>
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					<ul>
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					<li><a href="#orgd57e28b">3.1. Time Domain Data</a></li>
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					<li><a href="#org3bbc63e">3.2. PSD of Measurement Noise</a></li>
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					<li><a href="#org998c1cd">4. Transfer Function Estimation with m=5kg</a>
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					<li><a href="#org9ef342c">4.1. Time Domain Data</a></li>
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					<li><a href="#orgefdd95f">4.2. Comparison of the PSD with Huddle Test</a></li>
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					<li><a href="#orge9cdeb9">4.3. Compute TF estimate and Coherence</a></li>
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<h2 id="orgf243093"><span class="section-number-2">1</span> Parameters</h2>
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					<h2 id="orgc824287"><span class="section-number-2">1</span> Setup</h2>
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					<h3 id="orgd7519f6"><span class="section-number-3">1.1</span> Parameters</h3>
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<pre class="src src-matlab">Ts = 1e-4;
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					<pre class="src src-matlab">Ts = 1e-4;
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<h2 id="org523b657"><span class="section-number-2">2</span> Filter White Noise</h2>
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					<h3 id="org6b6fba7"><span class="section-number-3">1.2</span> Filter White Noise</h3>
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<pre class="src src-matlab">Glpf = 1/(1 + s/2/pi/500);
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					<pre class="src src-matlab">Glpf = 1/(1 + s/2/pi/500);
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@@ -59,95 +82,158 @@ Gz = c2d(Glpf, Ts, 'tustin');
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<h2 id="org422b8fd"><span class="section-number-2">3</span> Load Data</h2>
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					<h2 id="orge67785b"><span class="section-number-2">2</span> Run Experiment and Save Data</h2>
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					<h3 id="orgb713921"><span class="section-number-3">2.1</span> Load Data</h3>
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					<pre class="src src-matlab">data = SimulinkRealTime.utils.getFileScopeData('data/apa95ml.dat').data;
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					<h3 id="org76c3b29"><span class="section-number-3">2.2</span> Save Data</h3>
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					<pre class="src src-matlab">u = data(:, 1); % Input Voltage [V]
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					y = data(:, 2); % Output Displacement [m]
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					t = data(:, 3); % Time [s]
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					<pre class="src src-matlab">save('./mat/huddle_test.mat', 't', 'u', 'y', 'Glpf');
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					<h2 id="org9fd96de"><span class="section-number-2">3</span> Huddle Test</h2>
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<pre class="src src-matlab">data = SimulinkRealTime.utils.getFileScopeData('data/apa95ml_5kg.dat').data;
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					<h3 id="orgd57e28b"><span class="section-number-3">3.1</span> Time Domain Data</h3>
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					<div id="org892424c" class="figure">
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					<p><img src="figs/huddle_test_time_domain.png" alt="huddle_test_time_domain.png" />
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					<p><span class="figure-number">Figure 1: </span>Measurement of the Mass displacement during Huddle Test</p>
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<h2 id="orgbbba70f"><span class="section-number-2">4</span> Time Domain Data</h2>
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					<h3 id="org3bbc63e"><span class="section-number-3">3.2</span> PSD of Measurement Noise</h3>
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					<pre class="src src-matlab">Ts = t(end)/(length(t)-1);
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					Fs = 1/Ts;
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					win = hanning(ceil(1*Fs));
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					<pre class="src src-matlab">[pxx, f] = pwelch(y, win, [], [], Fs);
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					<div id="orgcf40479" class="figure">
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					<p><img src="figs/huddle_test_pdf.png" alt="huddle_test_pdf.png" />
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					<p><span class="figure-number">Figure 2: </span>Amplitude Spectral Density of the Displacement during Huddle Test</p>
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					<h2 id="org998c1cd"><span class="section-number-2">4</span> Transfer Function Estimation with m=5kg</h2>
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					<h3 id="org9ef342c"><span class="section-number-3">4.1</span> Time Domain Data</h3>
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					<p><img src="figs/apa95ml_5kg_10V_time_domain.png" alt="apa95ml_5kg_10V_time_domain.png" />
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					<p><span class="figure-number">Figure 3: </span>Time domain signals during the test</p>
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					<h3 id="orgefdd95f"><span class="section-number-3">4.2</span> Comparison of the PSD with Huddle Test</h3>
 | 
				
			||||||
 | 
					<div class="outline-text-3" id="text-4-2">
 | 
				
			||||||
<div class="org-src-container">
 | 
					<div class="org-src-container">
 | 
				
			||||||
<pre class="src src-matlab">figure;
 | 
					<pre class="src src-matlab">Ts = t(end)/(length(t)-1);
 | 
				
			||||||
 | 
					Fs = 1/Ts;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
subplot(1,2,1);
 | 
					win = hanning(ceil(1*Fs));
 | 
				
			||||||
plot(data(:, 3), data(:, 1))
 | 
					 | 
				
			||||||
ylabel('Input Voltage [V]'); xlabel('Time [s]');
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
subplot(1,2,2);
 | 
					 | 
				
			||||||
plot(data(:, 3), data(:, 2))
 | 
					 | 
				
			||||||
ylabel('Output Displacement [m]'); xlabel('Time [s]');
 | 
					 | 
				
			||||||
</pre>
 | 
					</pre>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					<div class="org-src-container">
 | 
				
			||||||
 | 
					<pre class="src src-matlab">[pxx, f] = pwelch(y, win, [], [], Fs);
 | 
				
			||||||
 | 
					[pht, ~] = pwelch(ht.y, win, [], [], Fs);
 | 
				
			||||||
 | 
					</pre>
 | 
				
			||||||
 | 
					</div>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					<div id="orgb2b9828" class="figure">
 | 
				
			||||||
 | 
					<p><img src="figs/apa95ml_5kg_10V_pdf_comp_huddle.png" alt="apa95ml_5kg_10V_pdf_comp_huddle.png" />
 | 
				
			||||||
 | 
					</p>
 | 
				
			||||||
 | 
					<p><span class="figure-number">Figure 4: </span>Comparison of the ASD for the identification test and the huddle test</p>
 | 
				
			||||||
 | 
					</div>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
<div id="outline-container-org14d27d9" class="outline-2">
 | 
					<div id="outline-container-orge9cdeb9" class="outline-3">
 | 
				
			||||||
<h2 id="org14d27d9"><span class="section-number-2">5</span> Compute TF estimate and Coherence</h2>
 | 
					<h3 id="orge9cdeb9"><span class="section-number-3">4.3</span> Compute TF estimate and Coherence</h3>
 | 
				
			||||||
<div class="outline-text-2" id="text-5">
 | 
					<div class="outline-text-3" id="text-4-3">
 | 
				
			||||||
<div class="org-src-container">
 | 
					<div class="org-src-container">
 | 
				
			||||||
<pre class="src src-matlab">win = hann(ceil(1/Ts));
 | 
					<pre class="src src-matlab">win = hann(ceil(1/Ts));
 | 
				
			||||||
 | 
					
 | 
				
			||||||
[tf_est, f] = tfestimate(data(:, 1), -data(:, 2), win, [], [], 1/Ts);
 | 
					[tf_est, f] = tfestimate(u, -y, win, [], [], 1/Ts);
 | 
				
			||||||
[co_est, ~] = mscohere(  data(:, 1), -data(:, 2), win, [], [], 1/Ts);
 | 
					[co_est, ~] = mscohere(  u, -y, win, [], [], 1/Ts);
 | 
				
			||||||
</pre>
 | 
					</pre>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
</div>
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					<div id="org11f3e44" class="figure">
 | 
				
			||||||
 | 
					<p><img src="figs/apa95ml_5kg_10V_coh.png" alt="apa95ml_5kg_10V_coh.png" />
 | 
				
			||||||
 | 
					</p>
 | 
				
			||||||
 | 
					<p><span class="figure-number">Figure 5: </span>Coherence</p>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
<div id="outline-container-orgf7c6889" class="outline-2">
 | 
					 | 
				
			||||||
<h2 id="orgf7c6889"><span class="section-number-2">6</span> Coherence</h2>
 | 
					 | 
				
			||||||
<div class="outline-text-2" id="text-6">
 | 
					 | 
				
			||||||
<div class="org-src-container">
 | 
					 | 
				
			||||||
<pre class="src src-matlab">figure;
 | 
					 | 
				
			||||||
 | 
					
 | 
				
			||||||
hold on;
 | 
					<div id="orge10c988" class="figure">
 | 
				
			||||||
plot(f, co_est, 'k-')
 | 
					<p><img src="figs/apa95ml_5kg_10V_tf.png" alt="apa95ml_5kg_10V_tf.png" />
 | 
				
			||||||
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
					</p>
 | 
				
			||||||
ylabel('Coherence'); xlabel('Frequency [Hz]');
 | 
					<p><span class="figure-number">Figure 6: </span>Estimation of the transfer function from input voltage to displacement</p>
 | 
				
			||||||
hold off;
 | 
					 | 
				
			||||||
</pre>
 | 
					 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
 | 
					 | 
				
			||||||
<div id="outline-container-org2153f21" class="outline-2">
 | 
					 | 
				
			||||||
<h2 id="org2153f21"><span class="section-number-2">7</span> Transfer Function</h2>
 | 
					 | 
				
			||||||
<div class="outline-text-2" id="text-7">
 | 
					 | 
				
			||||||
<div class="org-src-container">
 | 
					 | 
				
			||||||
<pre class="src src-matlab">figure;
 | 
					 | 
				
			||||||
ax1 = subplot(2, 1, 1);
 | 
					 | 
				
			||||||
hold on;
 | 
					 | 
				
			||||||
plot(f, abs(tf_est), 'k-')
 | 
					 | 
				
			||||||
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
 | 
					 | 
				
			||||||
ylabel('Amplitude'); xlabel('Frequency [Hz]');
 | 
					 | 
				
			||||||
hold off;
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
ax2 = subplot(2, 1, 2);
 | 
					 | 
				
			||||||
hold on;
 | 
					 | 
				
			||||||
plot(f, 180/pi*angle(tf_est), 'k-')
 | 
					 | 
				
			||||||
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
					 | 
				
			||||||
ylabel('Phase'); xlabel('Frequency [Hz]');
 | 
					 | 
				
			||||||
legend();
 | 
					 | 
				
			||||||
hold off;
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
linkaxes([ax1,ax2], 'x');
 | 
					 | 
				
			||||||
xlim([10, 5000]);
 | 
					 | 
				
			||||||
</pre>
 | 
					 | 
				
			||||||
</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: 2020-07-17 ven. 11:55</p>
 | 
					<p class="date">Created: 2020-07-20 lun. 11:27</p>
 | 
				
			||||||
</div>
 | 
					</div>
 | 
				
			||||||
</body>
 | 
					</body>
 | 
				
			||||||
</html>
 | 
					</html>
 | 
				
			||||||
 
 | 
				
			|||||||
							
								
								
									
										127
									
								
								index.org
									
									
									
									
									
								
							
							
						
						
									
										127
									
								
								index.org
									
									
									
									
									
								
							@@ -9,13 +9,13 @@
 | 
				
			|||||||
#+HTML_LINK_HOME: ../index.html
 | 
					#+HTML_LINK_HOME: ../index.html
 | 
				
			||||||
#+HTML_LINK_UP: ../index.html
 | 
					#+HTML_LINK_UP: ../index.html
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
 | 
					#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="./css/htmlize.css"/>
 | 
				
			||||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
 | 
					#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="./css/readtheorg.css"/>
 | 
				
			||||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
 | 
					#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="./css/zenburn.css"/>
 | 
				
			||||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
 | 
					#+HTML_HEAD: <script type="text/javascript" src="./js/jquery.min.js"></script>
 | 
				
			||||||
#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
 | 
					#+HTML_HEAD: <script type="text/javascript" src="./js/bootstrap.min.js"></script>
 | 
				
			||||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
 | 
					#+HTML_HEAD: <script type="text/javascript" src="./js/jquery.stickytableheaders.min.js"></script>
 | 
				
			||||||
#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
 | 
					#+HTML_HEAD: <script type="text/javascript" src="./js/readtheorg.js"></script>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#+HTML_MATHJAX: align: center tagside: right font: TeX
 | 
					#+HTML_MATHJAX: align: center tagside: right font: TeX
 | 
				
			||||||
 | 
					
 | 
				
			||||||
@@ -41,15 +41,6 @@
 | 
				
			|||||||
#+PROPERTY: header-args:latex+ :output-dir figs
 | 
					#+PROPERTY: header-args:latex+ :output-dir figs
 | 
				
			||||||
:END:
 | 
					:END:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
* Matlab Init                                                :noexport:ignore:
 | 
					 | 
				
			||||||
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
 | 
					 | 
				
			||||||
  <<matlab-dir>>
 | 
					 | 
				
			||||||
#+end_src
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
#+begin_src matlab :exports none :results silent :noweb yes
 | 
					 | 
				
			||||||
  <<matlab-init>>
 | 
					 | 
				
			||||||
#+end_src
 | 
					 | 
				
			||||||
 | 
					 | 
				
			||||||
* Setup
 | 
					* Setup
 | 
				
			||||||
:PROPERTIES:
 | 
					:PROPERTIES:
 | 
				
			||||||
:header-args:matlab+: :tangle matlab/setup_experiment.m
 | 
					:header-args:matlab+: :tangle matlab/setup_experiment.m
 | 
				
			||||||
@@ -96,18 +87,36 @@
 | 
				
			|||||||
:header-args:matlab+: :comments org :mkdirp yes
 | 
					:header-args:matlab+: :comments org :mkdirp yes
 | 
				
			||||||
:END:
 | 
					:END:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Load Data
 | 
					** Matlab Init                                             :noexport:ignore:
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
 | 
				
			||||||
 | 
					  <<matlab-dir>>
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :exports none :results silent :noweb yes
 | 
				
			||||||
 | 
					  <<matlab-init>>
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					** Load Data                                                       :noexport:
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab
 | 
				
			||||||
  load('./mat/huddle_test.mat', 't', 'u', 'y');
 | 
					  load('./mat/huddle_test.mat', 't', 'u', 'y');
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Time Domain Data
 | 
					** Time Domain Data
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
  plot(t, y)
 | 
					  plot(t, y)
 | 
				
			||||||
  ylabel('Output Displacement [m]'); xlabel('Time [s]');
 | 
					  ylabel('Output Displacement [m]'); xlabel('Time [s]');
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
 | 
					  exportFig('figs/huddle_test_time_domain.pdf', 'width', 'wide', 'height', 'normal');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:huddle_test_time_domain
 | 
				
			||||||
 | 
					#+caption: Measurement of the Mass displacement during Huddle Test
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/huddle_test_time_domain.png]]
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** PSD of Measurement Noise
 | 
					** PSD of Measurement Noise
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab
 | 
				
			||||||
  Ts = t(end)/(length(t)-1);
 | 
					  Ts = t(end)/(length(t)-1);
 | 
				
			||||||
@@ -120,27 +129,46 @@
 | 
				
			|||||||
  [pxx, f] = pwelch(y, win, [], [], Fs);
 | 
					  [pxx, f] = pwelch(y, win, [], [], Fs);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
  plot(f, sqrt(pxx));
 | 
					  plot(f, sqrt(pxx));
 | 
				
			||||||
  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
 | 
					  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
 | 
				
			||||||
  xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
 | 
					  xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
 | 
				
			||||||
 | 
					  xlim([1, Fs/2]);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
 | 
					  exportFig('figs/huddle_test_pdf.pdf', 'width', 'wide', 'height', 'tall');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:huddle_test_pdf
 | 
				
			||||||
 | 
					#+caption: Amplitude Spectral Density of the Displacement during Huddle Test
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/huddle_test_pdf.png]]
 | 
				
			||||||
 | 
					
 | 
				
			||||||
* Transfer Function Estimation with m=5kg
 | 
					* Transfer Function Estimation with m=5kg
 | 
				
			||||||
:PROPERTIES:
 | 
					:PROPERTIES:
 | 
				
			||||||
:header-args:matlab+: :tangle matlab/tf_estimation.m
 | 
					:header-args:matlab+: :tangle matlab/tf_estimation.m
 | 
				
			||||||
:header-args:matlab+: :comments org :mkdirp yes
 | 
					:header-args:matlab+: :comments org :mkdirp yes
 | 
				
			||||||
:END:
 | 
					:END:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Load Data
 | 
					** Matlab Init                                             :noexport:ignore:
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
 | 
				
			||||||
 | 
					  <<matlab-dir>>
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :exports none :results silent :noweb yes
 | 
				
			||||||
 | 
					  <<matlab-init>>
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					** Load Data                                                       :noexport:
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab
 | 
				
			||||||
  ht = load('./mat/huddle_test.mat', 't', 'u', 'y');
 | 
					  ht = load('./mat/huddle_test.mat', 't', 'u', 'y');
 | 
				
			||||||
  load('./mat/apa95ml_5kg.mat', 't', 'u', 'y');
 | 
					  load('./mat/apa95ml_5kg_10V.mat', 't', 'u', 'y');
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Time Domain Data
 | 
					** Time Domain Data
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
  subplot(1,2,1);
 | 
					  subplot(1,2,1);
 | 
				
			||||||
@@ -153,6 +181,15 @@
 | 
				
			|||||||
  ylabel('Output Displacement [m]'); xlabel('Time [s]');
 | 
					  ylabel('Output Displacement [m]'); xlabel('Time [s]');
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
 | 
					  exportFig('figs/apa95ml_5kg_10V_time_domain.pdf', 'width', 'full', 'height', 'tall');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:apa95ml_5kg_10V_time_domain
 | 
				
			||||||
 | 
					#+caption: Time domain signals during the test
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/apa95ml_5kg_10V_time_domain.png]]
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Comparison of the PSD with Huddle Test
 | 
					** Comparison of the PSD with Huddle Test
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab
 | 
				
			||||||
  Ts = t(end)/(length(t)-1);
 | 
					  Ts = t(end)/(length(t)-1);
 | 
				
			||||||
@@ -166,7 +203,7 @@
 | 
				
			|||||||
  [pht, ~] = pwelch(ht.y, win, [], [], Fs);
 | 
					  [pht, ~] = pwelch(ht.y, win, [], [], Fs);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
  hold on;
 | 
					  hold on;
 | 
				
			||||||
  plot(f, sqrt(pxx), 'DisplayName', '5kg');
 | 
					  plot(f, sqrt(pxx), 'DisplayName', '5kg');
 | 
				
			||||||
@@ -174,19 +211,28 @@
 | 
				
			|||||||
  hold off;
 | 
					  hold off;
 | 
				
			||||||
  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
 | 
					  set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
 | 
				
			||||||
  xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
 | 
					  xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
 | 
				
			||||||
  legend('locaation', 'norteast');
 | 
					  legend('location', 'northeast');
 | 
				
			||||||
 | 
					  xlim([1, Fs/2]);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
 | 
					  exportFig('figs/apa95ml_5kg_10V_pdf_comp_huddle.pdf', 'width', 'wide', 'height', 'tall');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:apa95ml_5kg_10V_pdf_comp_huddle
 | 
				
			||||||
 | 
					#+caption: Comparison of the ASD for the identification test and the huddle test
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/apa95ml_5kg_10V_pdf_comp_huddle.png]]
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Compute TF estimate and Coherence
 | 
					** Compute TF estimate and Coherence
 | 
				
			||||||
#+begin_src matlab
 | 
					#+begin_src matlab
 | 
				
			||||||
  win = hann(ceil(1/Ts));
 | 
					  win = hann(ceil(1/Ts));
 | 
				
			||||||
 | 
					
 | 
				
			||||||
  [tf_est, f] = tfestimate(data(:, 1), -data(:, 2), win, [], [], 1/Ts);
 | 
					  [tf_est, f] = tfestimate(u, -y, win, [], [], 1/Ts);
 | 
				
			||||||
  [co_est, ~] = mscohere(  data(:, 1), -data(:, 2), win, [], [], 1/Ts);
 | 
					  [co_est, ~] = mscohere(  u, -y, win, [], [], 1/Ts);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Coherence
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
#+begin_src matlab
 | 
					 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
  hold on;
 | 
					  hold on;
 | 
				
			||||||
@@ -194,10 +240,19 @@
 | 
				
			|||||||
  set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
					  set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
				
			||||||
  ylabel('Coherence'); xlabel('Frequency [Hz]');
 | 
					  ylabel('Coherence'); xlabel('Frequency [Hz]');
 | 
				
			||||||
  hold off;
 | 
					  hold off;
 | 
				
			||||||
 | 
					  xlim([10, 5e3]);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
** Transfer Function
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
#+begin_src matlab
 | 
					  exportFig('figs/apa95ml_5kg_10V_coh.pdf', 'width', 'wide', 'height', 'normal');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:apa95ml_5kg_10V_coh
 | 
				
			||||||
 | 
					#+caption: Coherence
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/apa95ml_5kg_10V_coh.png]]
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :exports none
 | 
				
			||||||
  figure;
 | 
					  figure;
 | 
				
			||||||
  ax1 = subplot(2, 1, 1);
 | 
					  ax1 = subplot(2, 1, 1);
 | 
				
			||||||
  hold on;
 | 
					  hold on;
 | 
				
			||||||
@@ -211,9 +266,17 @@
 | 
				
			|||||||
  plot(f, 180/pi*angle(tf_est), 'k-')
 | 
					  plot(f, 180/pi*angle(tf_est), 'k-')
 | 
				
			||||||
  set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
					  set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
 | 
				
			||||||
  ylabel('Phase'); xlabel('Frequency [Hz]');
 | 
					  ylabel('Phase'); xlabel('Frequency [Hz]');
 | 
				
			||||||
  legend();
 | 
					 | 
				
			||||||
  hold off;
 | 
					  hold off;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
  linkaxes([ax1,ax2], 'x');
 | 
					  linkaxes([ax1,ax2], 'x');
 | 
				
			||||||
  xlim([10, 5000]);
 | 
					  xlim([10, 5e3]);
 | 
				
			||||||
#+end_src
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+begin_src matlab :tangle no :exports results :results file replace
 | 
				
			||||||
 | 
					  exportFig('figs/apa95ml_5kg_10V_tf.pdf', 'width', 'full', 'height', 'full');
 | 
				
			||||||
 | 
					#+end_src
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#+name: fig:apa95ml_5kg_10V_tf
 | 
				
			||||||
 | 
					#+caption: Estimation of the transfer function from input voltage to displacement
 | 
				
			||||||
 | 
					#+RESULTS:
 | 
				
			||||||
 | 
					[[file:figs/apa95ml_5kg_10V_tf.png]]
 | 
				
			||||||
 
 | 
				
			|||||||
		Reference in New Issue
	
	Block a user