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<h1 class="title">Static Measurements</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org9dbeefe">1. Ty Stage</a>
<ul>
<li><a href="#org98becb2">1.1. Notes</a></li>
<li><a href="#orgbab4f4e">1.2. Data Pre-processing</a></li>
<li><a href="#orgbb084a6">1.3. Matlab - Data Import</a></li>
<li><a href="#orgb7b2129">1.4. Data - Plot</a></li>
<li><a href="#org01e23ef">1.5. Translate to time domain</a></li>
<li><a href="#org13bc3d4">1.6. Compute the PSD</a></li>
</ul>
</li>
<li><a href="#orgc7af6bd">2. <span class="todo TODO">TODO</span> Spindle</a></li>
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</ul>
</div>
</div>
<div id="outline-container-org9dbeefe" class="outline-2">
<h2 id="org9dbeefe"><span class="section-number-2">1</span> Ty Stage</h2>
<div class="outline-text-2" id="text-1">
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<p>
<a id="org0ab6482"></a>
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</p>
<div class="note">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/static_ty.zip">here</a>.
</p>
</div>
</div>
<div id="outline-container-org98becb2" class="outline-3">
<h3 id="org98becb2"><span class="section-number-3">1.1</span> Notes</h3>
<div class="outline-text-3" id="text-1-1">
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<ul class="org-ul">
<li><b>5530</b>: Straightness Plot: Yz</li>
<li><b>Filename</b>: <code>r:\home\PDMU\PEL\Measurement_library\ID31\ID31_u_station\TY\12_12_2018\linear deviation _tyz_401_points.txt</code></li>
<li><b>Acquisition date</b>: 09/01/2019 13:49:42</li>
<li><b>Current date</b>: 08/03/2019 08:46:35</li>
<li><b>Measurement Type</b>: STRAIGHTNESS vertical</li>
<li><b>Travel Mode</b>: Bidirectional</li>
<li><b>Number of Target Positions</b>: 401</li>
<li><b>Number of total data pairs</b>: 2406</li>
<li><b>Number of total data runs</b>:6</li>
<li><b>Position Value Units</b>: millimeters</li>
<li><b>Error Value Units</b>: micrometers</li>
</ul>
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-left" />
<col class="org-left" />
<col class="org-left" />
<col class="org-left" />
</colgroup>
<thead>
<tr>
<th scope="col" class="org-left">Environmental Data</th>
<th scope="col" class="org-left">Min</th>
<th scope="col" class="org-left">Max</th>
<th scope="col" class="org-left">Avg</th>
</tr>
</thead>
<tbody>
<tr>
<td class="org-left">Air Temp (C)</td>
<td class="org-left">024,57</td>
<td class="org-left">024,61</td>
<td class="org-left">024,59</td>
</tr>
<tr>
<td class="org-left">Air Prs (mm)</td>
<td class="org-left">742,56</td>
<td class="org-left">743,29</td>
<td class="org-left">742,83</td>
</tr>
<tr>
<td class="org-left">Air Hmd (%)</td>
<td class="org-left">024,00</td>
<td class="org-left">024,00</td>
<td class="org-left">024,00</td>
</tr>
<tr>
<td class="org-left">MT1 Temp (C)</td>
<td class="org-left">&#xa0;</td>
<td class="org-left">&#xa0;</td>
<td class="org-left">020,00</td>
</tr>
<tr>
<td class="org-left">MT2 Temp (C)</td>
<td class="org-left">024,40</td>
<td class="org-left">024,44</td>
<td class="org-left">024,42</td>
</tr>
<tr>
<td class="org-left">MT3 Temp (C)</td>
<td class="org-left">024,32</td>
<td class="org-left">024,36</td>
<td class="org-left">024,34</td>
</tr>
</tbody>
</table>
<p>
In a very schematic way, the measurement is explained on figure <a href="#orgb91392e">1</a>.
The positioning error \(d\) is measure as a function of \(x\).
Because the measurement is done in a static way, the dynamics of the station (represented by the mass-spring-damper system on the schematic) does not play a role in the measure.
</p>
<p>
The obtained data corresponds to the guiding errors.
</p>
<div id="orgb91392e" class="figure">
<p><img src="./figs/guiding_errors.png" alt="guiding_errors.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Schematic of the measurement</p>
</div>
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</div>
</div>
<div id="outline-container-orgbab4f4e" class="outline-3">
<h3 id="orgbab4f4e"><span class="section-number-3">1.2</span> Data Pre-processing</h3>
<div class="outline-text-3" id="text-1-2">
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<div class="org-src-container">
<pre class="src src-shell">sed <span class="org-string">'s/\t/ /g;s/\,/./g'</span> <span class="org-string">"mat/linear_deviation_tyz_401_points.txt"</span> &gt; data/data_tyz.txt
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</pre>
</div>
<div class="org-src-container">
<pre class="src src-shell">head <span class="org-string">"mat/data_tyz.txt"</span>
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</pre>
</div>
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-right" />
<col class="org-right" />
<col class="org-right" />
<col class="org-right" />
</colgroup>
<thead>
<tr>
<th scope="col" class="org-right">Run</th>
<th scope="col" class="org-right">Pos</th>
<th scope="col" class="org-right">TargetValue</th>
<th scope="col" class="org-right">ErrorValue</th>
</tr>
</thead>
<tbody>
<tr>
<td class="org-right">1</td>
<td class="org-right">1</td>
<td class="org-right">-4.5E+00</td>
<td class="org-right">7.5377892E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">2</td>
<td class="org-right">-4.4775E+00</td>
<td class="org-right">7.5422246E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">3</td>
<td class="org-right">-4.455E+00</td>
<td class="org-right">7.5655617E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">4</td>
<td class="org-right">-4.4325E+00</td>
<td class="org-right">7.5149518E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">5</td>
<td class="org-right">-4.41E+00</td>
<td class="org-right">7.4886377E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">6</td>
<td class="org-right">-4.3875E+00</td>
<td class="org-right">7.437007E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">7</td>
<td class="org-right">-4.365E+00</td>
<td class="org-right">7.4449354E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">8</td>
<td class="org-right">-4.3425E+00</td>
<td class="org-right">7.3937387E+00</td>
</tr>
<tr>
<td class="org-right">1</td>
<td class="org-right">9</td>
<td class="org-right">-4.32E+00</td>
<td class="org-right">7.3287468E+00</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-orgbb084a6" class="outline-3">
<h3 id="orgbb084a6"><span class="section-number-3">1.3</span> Matlab - Data Import</h3>
<div class="outline-text-3" id="text-1-3">
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<div class="org-src-container">
<pre class="src src-matlab">filename = <span class="org-string">'mat/data_tyz.txt'</span>;
fileID = fopen<span class="org-rainbow-delimiters-depth-1">(</span>filename<span class="org-rainbow-delimiters-depth-1">)</span>;
data = cell2mat<span class="org-rainbow-delimiters-depth-1">(</span>textscan<span class="org-rainbow-delimiters-depth-2">(</span>fileID,'<span class="org-comment">%f %f %f </span>%f', 'collectoutput', <span class="org-highlight-numbers-number">1</span>,'headerlines',<span class="org-highlight-numbers-number">1</span>));
fclose<span class="org-rainbow-delimiters-depth-3">(</span>fileID<span class="org-rainbow-delimiters-depth-3">)</span>;
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</pre>
</div>
</div>
</div>
<div id="outline-container-orgb7b2129" class="outline-3">
<h3 id="orgb7b2129"><span class="section-number-3">1.4</span> Data - Plot</h3>
<div class="outline-text-3" id="text-1-4">
<p>
First, we plot the straightness error as a function of the position (figure <a href="#orge60d823">2</a>).
</p>
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<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
<span class="org-keyword">for</span> <span class="org-variable-name">i</span>=<span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant">:data</span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-constant">end, </span><span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">)</span></span>
plot<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span> <span class="org-type">==</span> <span class="org-constant">i</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, data<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span> <span class="org-type">==</span> <span class="org-constant">i</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'-k'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-keyword">end</span>
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hold off;
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Target Value </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">mm</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">'</span>Error Value <span class="org-rainbow-delimiters-depth-2">[</span>$<span class="org-type">\</span>mu m$<span class="org-rainbow-delimiters-depth-2">]</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
</div>
<div id="orge60d823" class="figure">
<p><img src="figs/raw_data_tyz.png" alt="raw_data_tyz.png" />
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</p>
<p><span class="figure-number">Figure 2: </span>Time domain Data</p>
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</div>
<p>
Then, we compute mean value of each position, and we remove this mean value from the data.
The results are shown on figure <a href="#org6b6ea44">3</a>.
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</p>
<div class="org-src-container">
<pre class="src src-matlab">mean_pos = zeros<span class="org-rainbow-delimiters-depth-1">(</span>sum<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</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-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-keyword">for</span> <span class="org-variable-name">i</span>=<span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant">:sum</span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-constant">data</span><span class="org-constant"><span class="org-rainbow-delimiters-depth-2">(</span></span><span class="org-constant">:, </span><span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant"><span class="org-rainbow-delimiters-depth-2">)</span></span><span class="org-constant">==</span><span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">)</span></span>
mean_pos<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-constant">i</span><span class="org-rainbow-delimiters-depth-1">)</span> = mean<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">==</span><span class="org-constant">i</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-keyword">end</span>
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</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
<span class="org-keyword">for</span> <span class="org-variable-name">i</span>=<span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant">:data</span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-constant">end, </span><span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">)</span></span>
filt = data<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">==</span> <span class="org-constant">i</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span>filt, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, data<span class="org-rainbow-delimiters-depth-2">(</span>filt, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-2">)</span> <span class="org-type">-</span> mean_pos, <span class="org-string">'-k'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-keyword">end</span>
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hold off;
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Target Value </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">mm</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">'</span>Error Value <span class="org-rainbow-delimiters-depth-2">[</span>$<span class="org-type">\</span>mu m$<span class="org-rainbow-delimiters-depth-2">]</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
</div>
<div id="org6b6ea44" class="figure">
<p><img src="figs/processed_data_tyz.png" alt="processed_data_tyz.png" />
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</p>
<p><span class="figure-number">Figure 3: </span>caption</p>
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</div>
</div>
</div>
<div id="outline-container-org01e23ef" class="outline-3">
<h3 id="org01e23ef"><span class="section-number-3">1.5</span> Translate to time domain</h3>
<div class="outline-text-3" id="text-1-5">
<p>
We here make the assumptions that, during a scan with the translation stage, the Z motion of the translation stage will follow the guiding error measured.
</p>
<p>
We then create a time vector \(t\) from 0 to 1 second that corresponds to a typical scan, and we plot the guiding error as a function of the time on figure <a href="#orgb3c2727">4</a>.
</p>
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<div class="org-src-container">
<pre class="src src-matlab">t = linspace<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">1</span>, length<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span>data<span class="org-rainbow-delimiters-depth-4">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-type">==</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>t, data<span class="org-rainbow-delimiters-depth-2">(</span>data<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span> <span class="org-type">==</span> <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-2">)</span> <span class="org-type">-</span> mean_pos, <span class="org-string">'-k'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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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">'Error Value </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">um</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>;
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</pre>
</div>
<div id="orgb3c2727" class="figure">
<p><img src="figs/time_domain_tyz.png" alt="time_domain_tyz.png" />
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</p>
<p><span class="figure-number">Figure 4: </span>caption</p>
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</div>
</div>
</div>
<div id="outline-container-org13bc3d4" class="outline-3">
<h3 id="org13bc3d4"><span class="section-number-3">1.6</span> Compute the PSD</h3>
<div class="outline-text-3" id="text-1-6">
<p>
We first compute some parameters that will be used for the PSD computation.
</p>
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<div class="org-src-container">
<pre class="src src-matlab">dt = t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
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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>;
</pre>
</div>
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<p>
We remove the mean position from the data.
</p>
<div class="org-src-container">
<pre class="src src-matlab">x = data<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span> <span class="org-type">==</span> <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">-</span> mean_pos;
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</pre>
</div>
<p>
And finally, we compute the power spectral density of the displacement obtained in the time domain.
</p>
<p>
The result is shown on figure <a href="#org7446cbb">5</a>.
</p>
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<div class="org-src-container">
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxx, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>x, 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>;
pxx_t = zeros<span class="org-rainbow-delimiters-depth-1">(</span>length<span class="org-rainbow-delimiters-depth-2">(</span>pxx<span class="org-rainbow-delimiters-depth-2">)</span>, data<span class="org-rainbow-delimiters-depth-2">(</span>end, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
<span class="org-keyword">for</span> <span class="org-variable-name">i</span>=<span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant">:data</span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-constant">end, </span><span class="org-constant"><span class="org-highlight-numbers-number">1</span></span><span class="org-constant"><span class="org-rainbow-delimiters-depth-1">)</span></span>
x = data<span class="org-rainbow-delimiters-depth-1">(</span>data<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span> <span class="org-type">==</span> <span class="org-constant">i</span>, <span class="org-highlight-numbers-number">4</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">-</span> mean_pos;
<span class="org-rainbow-delimiters-depth-1">[</span>pxx, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>x, 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>;
pxx_t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-constant">i</span><span class="org-rainbow-delimiters-depth-1">)</span> = pxx;
<span class="org-keyword">end</span>
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
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hold on;
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>mean<span class="org-rainbow-delimiters-depth-3">(</span>pxx_t, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'k-'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
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hold off;
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-rainbow-delimiters-depth-1">)</span>;
ylabel<span class="org-rainbow-delimiters-depth-1">(</span>'Amplitude Spectral Density $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>m<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<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">'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>;
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</pre>
</div>
<div id="org7446cbb" class="figure">
<p><img src="figs/psd_tyz.png" alt="psd_tyz.png" />
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</p>
<p><span class="figure-number">Figure 5: </span>PSD of the Z motion when scanning with Ty at 1Hz</p>
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</div>
</div>
</div>
</div>
<div id="outline-container-orgc7af6bd" class="outline-2">
<h2 id="orgc7af6bd"><span class="section-number-2">2</span> <span class="todo TODO">TODO</span> Spindle</h2>
</div>
</div>
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<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-05-14 mar. 09:52</p>
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<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>
</html>