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<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2020-08-13 jeu. 09:43 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Measurement of Piezoelectric Amplifiers</title>
<meta name="generator" content="Org mode" />
<meta name="author" content="Dehaeze Thomas" />
<link rel="stylesheet" type="text/css" href="./css/htmlize.css"/>
<link rel="stylesheet" type="text/css" href="./css/readtheorg.css"/>
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<script type="text/javascript" src="./js/readtheorg.js"></script>
</head>
<body>
<div id="content">
<h1 class="title">Measurement of Piezoelectric Amplifiers</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org7cd0359">1. Effect of a change of capacitance</a>
<ul>
<li><a href="#org8d85654">1.1. Cedrat Technology</a></li>
<li><a href="#org68ca424">1.2. PI</a></li>
</ul>
</li>
<li><a href="#org050cae4">2. Effect of a change in Voltage level</a>
<ul>
<li><a href="#orga37be55">2.1. Cedrat Technology</a></li>
<li><a href="#org84c2c10">2.2. PI</a></li>
</ul>
</li>
<li><a href="#org0a60460">3. Comparison PI / Cedrat</a>
<ul>
<li><a href="#orgbed9e43">3.1. Results</a></li>
</ul>
</li>
</ul>
</div>
</div>
<div id="outline-container-org7cd0359" class="outline-2">
<h2 id="org7cd0359"><span class="section-number-2">1</span> Effect of a change of capacitance</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-org8d85654" class="outline-3">
<h3 id="org8d85654"><span class="section-number-3">1.1</span> Cedrat Technology</h3>
<div class="outline-text-3" id="text-1-1">
<p>
Load Data
</p>
<div class="org-src-container">
<pre class="src src-matlab">piezo1 = load('mat/cedrat_la75b_med_1_stack.mat', 't', 'V_in', 'V_out');
piezo2 = load('mat/cedrat_la75b_med_2_stack.mat', 't', 'V_in', 'V_out');
piezo3 = load('mat/cedrat_la75b_med_3_stack.mat', 't', 'V_in', 'V_out');
</pre>
</div>
<p>
Compute Coherence and Transfer functions
</p>
<div class="org-src-container">
<pre class="src src-matlab">Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_1, f_1] = tfestimate(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[co_1, ~] = mscohere(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[tf_2, f_2] = tfestimate(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[co_2, ~] = mscohere(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[tf_3, f_3] = tfestimate(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
[co_3, ~] = mscohere(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
</pre>
</div>
<div id="orgea0a250" class="figure">
<p><img src="figs/change_capa_cedrat.png" alt="change_capa_cedrat.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Effect of a change of the piezo capacitance on the Amplifier transfer function</p>
</div>
</div>
</div>
<div id="outline-container-org68ca424" class="outline-3">
<h3 id="org68ca424"><span class="section-number-3">1.2</span> PI</h3>
<div class="outline-text-3" id="text-1-2">
<div class="org-src-container">
<pre class="src src-matlab">piezo1 = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
piezo2 = load('mat/pi_505_high_2_stacks.mat', 't', 'V_in', 'V_out');
piezo3 = load('mat/pi_505_high_3_stacks.mat', 't', 'V_in', 'V_out');
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_1, f_1] = tfestimate(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[co_1, ~] = mscohere(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[tf_2, f_2] = tfestimate(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[co_2, ~] = mscohere(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[tf_3, f_3] = tfestimate(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
[co_3, ~] = mscohere(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
</pre>
</div>
<div id="org2b2f935" class="figure">
<p><img src="figs/change_capa_pi.png" alt="change_capa_pi.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Effect of a change of the piezo capacitance on the Amplifier transfer function</p>
</div>
</div>
</div>
</div>
<div id="outline-container-org050cae4" class="outline-2">
<h2 id="org050cae4"><span class="section-number-2">2</span> Effect of a change in Voltage level</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-orga37be55" class="outline-3">
<h3 id="orga37be55"><span class="section-number-3">2.1</span> Cedrat Technology</h3>
<div class="outline-text-3" id="text-2-1">
<div class="org-src-container">
<pre class="src src-matlab">hi = load('mat/cedrat_la75b_high_1_stack.mat', 't', 'V_in', 'V_out');
me = load('mat/cedrat_la75b_med_1_stack.mat', 't', 'V_in', 'V_out');
lo = load('mat/cedrat_la75b_low_1_stack.mat', 't', 'V_in', 'V_out');
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_hi, f_hi] = tfestimate(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[co_hi, ~] = mscohere(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[tf_me, f_me] = tfestimate(me.V_in, me.V_out, win, [], [], 1/Ts);
[co_me, ~] = mscohere(me.V_in, me.V_out, win, [], [], 1/Ts);
[tf_lo, f_lo] = tfestimate(lo.V_in, lo.V_out, win, [], [], 1/Ts);
[co_lo, ~] = mscohere(lo.V_in, lo.V_out, win, [], [], 1/Ts);
</pre>
</div>
<div id="orgde72643" class="figure">
<p><img src="figs/change_level_cedrat.png" alt="change_level_cedrat.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Effect of a change of voltage level on the Amplifier transfer function</p>
</div>
</div>
</div>
<div id="outline-container-org84c2c10" class="outline-3">
<h3 id="org84c2c10"><span class="section-number-3">2.2</span> PI</h3>
<div class="outline-text-3" id="text-2-2">
<div class="org-src-container">
<pre class="src src-matlab">hi = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
lo = load('mat/pi_505_low.mat', 't', 'V_in', 'V_out');
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_hi, f_hi] = tfestimate(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[co_hi, ~] = mscohere(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[tf_lo, f_lo] = tfestimate(lo.V_in, lo.V_out, win, [], [], 1/Ts);
[co_lo, ~] = mscohere(lo.V_in, lo.V_out, win, [], [], 1/Ts);
</pre>
</div>
<div id="orge91bdf4" class="figure">
<p><img src="figs/change_level_pi.png" alt="change_level_pi.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Effect of a change of voltage level on the Amplifier transfer function</p>
</div>
</div>
</div>
</div>
<div id="outline-container-org0a60460" class="outline-2">
<h2 id="org0a60460"><span class="section-number-2">3</span> Comparison PI / Cedrat</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-orgbed9e43" class="outline-3">
<h3 id="orgbed9e43"><span class="section-number-3">3.1</span> Results</h3>
<div class="outline-text-3" id="text-3-1">
<div class="org-src-container">
<pre class="src src-matlab">ce_results = load('mat/cedrat_la75b_high_1_stack.mat', 't', 'V_in', 'V_out');
pi_results = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab">Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_ce, f_ce] = tfestimate(ce_results.V_in, ce_results.V_out, win, [], [], 1/Ts);
[tf_pi, f_pi] = tfestimate(pi_results.V_in, pi_results.V_out, win, [], [], 1/Ts);
</pre>
</div>
<div id="orgcb60c2b" class="figure">
<p><img src="figs/tf_amplifiers_comp.png" alt="tf_amplifiers_comp.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Comparison of the two Amplifier transfer functions</p>
</div>
</div>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-08-13 jeu. 09:43</p>
</div>
</body>
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#+TITLE: Measurement of Piezoelectric Amplifiers
:DRAWER:
#+LANGUAGE: en
#+EMAIL: dehaeze.thomas@gmail.com
#+AUTHOR: Dehaeze Thomas
#+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/zenburn.css"/>
#+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/jquery.stickytableheaders.min.js"></script>
#+HTML_HEAD: <script type="text/javascript" src="./js/readtheorg.js"></script>
#+PROPERTY: header-args:latex :headers '("\\usepackage{tikz}" "\\usepackage{import}" "\\import{$HOME/Cloud/tikz/org/}{config.tex}")
#+PROPERTY: header-args:latex+ :imagemagick t :fit yes
#+PROPERTY: header-args:latex+ :iminoptions -scale 100% -density 150
#+PROPERTY: header-args:latex+ :imoutoptions -quality 100
#+PROPERTY: header-args:latex+ :results raw replace :buffer no
#+PROPERTY: header-args:latex+ :eval no-export
#+PROPERTY: header-args:latex+ :exports both
#+PROPERTY: header-args:latex+ :mkdirp yes
#+PROPERTY: header-args:latex+ :output-dir figs
#+PROPERTY: header-args:latex+ :post pdf2svg(file=*this*, ext="png")
#+PROPERTY: header-args:matlab :session *MATLAB*
#+PROPERTY: header-args:matlab+ :tangle filters.m
#+PROPERTY: header-args:matlab+ :comments org
#+PROPERTY: header-args:matlab+ :exports both
#+PROPERTY: header-args:matlab+ :results none
#+PROPERTY: header-args:matlab+ :eval no-export
#+PROPERTY: header-args:matlab+ :noweb yes
#+PROPERTY: header-args:matlab+ :mkdirp yes
#+PROPERTY: header-args:matlab+ :output-dir figs
:END:
* Effect of a change of capacitance
** 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
** Cedrat Technology
Load Data
#+begin_src matlab
piezo1 = load('mat/cedrat_la75b_med_1_stack.mat', 't', 'V_in', 'V_out');
piezo2 = load('mat/cedrat_la75b_med_2_stack.mat', 't', 'V_in', 'V_out');
piezo3 = load('mat/cedrat_la75b_med_3_stack.mat', 't', 'V_in', 'V_out');
#+end_src
Compute Coherence and Transfer functions
#+begin_src matlab
Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_1, f_1] = tfestimate(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[co_1, ~] = mscohere(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[tf_2, f_2] = tfestimate(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[co_2, ~] = mscohere(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[tf_3, f_3] = tfestimate(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
[co_3, ~] = mscohere(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
#+end_src
#+begin_src matlab :exports none
figure;
ax1 = subplot(2, 1, 1);
hold on;
plot(f_1, abs(tf_1), 'DisplayName', '1 stack')
plot(f_2, abs(tf_2), 'DisplayName', '2 stacks')
plot(f_3, abs(tf_3), 'DisplayName', '3 stacks')
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
ylabel('Amplitude'); xlabel('Frequency [Hz]');
hold off;
legend('location', 'southwest');
ylim([1, 40]);
ax2 = subplot(2, 1, 2);
hold on;
plot(f_1, 180/pi*unwrap(angle(tf_1)))
plot(f_2, 180/pi*unwrap(angle(tf_2)))
plot(f_3, 180/pi*unwrap(angle(tf_3)))
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
ylabel('Phase'); xlabel('Frequency [Hz]');
hold off;
ylim([-270, 90]);
yticks(-360:90:90)
linkaxes([ax1,ax2], 'x');
xlim([10, 5000]);
#+end_src
#+begin_src matlab :tangle no :exports results :results file replace
exportFig('figs/change_capa_cedrat.pdf', 'width', 'full', 'height', 'full');
#+end_src
#+name: fig:change_capa_cedrat
#+caption: Effect of a change of the piezo capacitance on the Amplifier transfer function
#+RESULTS:
[[file:figs/change_capa_cedrat.png]]
** PI
#+begin_src matlab
piezo1 = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
piezo2 = load('mat/pi_505_high_2_stacks.mat', 't', 'V_in', 'V_out');
piezo3 = load('mat/pi_505_high_3_stacks.mat', 't', 'V_in', 'V_out');
#+end_src
#+begin_src matlab
Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_1, f_1] = tfestimate(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[co_1, ~] = mscohere(piezo1.V_in, piezo1.V_out, win, [], [], 1/Ts);
[tf_2, f_2] = tfestimate(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[co_2, ~] = mscohere(piezo2.V_in, piezo2.V_out, win, [], [], 1/Ts);
[tf_3, f_3] = tfestimate(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
[co_3, ~] = mscohere(piezo3.V_in, piezo3.V_out, win, [], [], 1/Ts);
#+end_src
#+begin_src matlab :exports none
figure;
ax1 = subplot(2, 1, 1);
hold on;
plot(f_1, abs(tf_1), 'DisplayName', '1 stack')
plot(f_2, abs(tf_2), 'DisplayName', '2 stacks')
plot(f_3, abs(tf_3), 'DisplayName', '3 stacks')
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
ylabel('Amplitude'); xlabel('Frequency [Hz]');
hold off;
legend('location', 'southwest');
ylim([0.05, 11]);
ax2 = subplot(2, 1, 2);
hold on;
plot(f_1, 180/pi*unwrap(angle(tf_1)))
plot(f_2, 180/pi*unwrap(angle(tf_2)))
plot(f_3, 180/pi*unwrap(angle(tf_3)))
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
ylabel('Phase'); xlabel('Frequency [Hz]');
hold off;
ylim([-360, 0]);
yticks(-360:90:90)
linkaxes([ax1,ax2], 'x');
xlim([10, 5000]);
#+end_src
#+begin_src matlab :tangle no :exports results :results file replace
exportFig('figs/change_capa_pi.pdf', 'width', 'full', 'height', 'full');
#+end_src
#+name: fig:change_capa_pi
#+caption: Effect of a change of the piezo capacitance on the Amplifier transfer function
#+RESULTS:
[[file:figs/change_capa_pi.png]]
* Effect of a change in Voltage level
** 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
** Cedrat Technology
#+begin_src matlab
hi = load('mat/cedrat_la75b_high_1_stack.mat', 't', 'V_in', 'V_out');
me = load('mat/cedrat_la75b_med_1_stack.mat', 't', 'V_in', 'V_out');
lo = load('mat/cedrat_la75b_low_1_stack.mat', 't', 'V_in', 'V_out');
#+end_src
#+begin_src matlab
Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_hi, f_hi] = tfestimate(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[co_hi, ~] = mscohere(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[tf_me, f_me] = tfestimate(me.V_in, me.V_out, win, [], [], 1/Ts);
[co_me, ~] = mscohere(me.V_in, me.V_out, win, [], [], 1/Ts);
[tf_lo, f_lo] = tfestimate(lo.V_in, lo.V_out, win, [], [], 1/Ts);
[co_lo, ~] = mscohere(lo.V_in, lo.V_out, win, [], [], 1/Ts);
#+end_src
#+begin_src matlab :exports none
figure;
ax1 = subplot(2, 1, 1);
hold on;
plot(f_lo, abs(tf_lo), 'DisplayName', 'low')
plot(f_me, abs(tf_me), 'DisplayName', 'med')
plot(f_hi, abs(tf_hi), 'DisplayName', 'high')
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
ylabel('Amplitude'); xlabel('Frequency [Hz]');
hold off;
legend('location', 'southwest');
ylim([1, 50]);
ax2 = subplot(2, 1, 2);
hold on;
plot(f_lo, 180/pi*unwrap(angle(tf_lo)))
plot(f_me, 180/pi*unwrap(angle(tf_me)))
plot(f_hi, 180/pi*unwrap(angle(tf_hi)))
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
ylabel('Phase'); xlabel('Frequency [Hz]');
hold off;
ylim([-360, 0]);
yticks(-360:90:90)
linkaxes([ax1,ax2], 'x');
xlim([10, 5000]);
#+end_src
#+begin_src matlab :tangle no :exports results :results file replace
exportFig('figs/change_level_cedrat.pdf', 'width', 'full', 'height', 'full');
#+end_src
#+name: fig:change_level_cedrat
#+caption: Effect of a change of voltage level on the Amplifier transfer function
#+RESULTS:
[[file:figs/change_level_cedrat.png]]
** PI
#+begin_src matlab
hi = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
lo = load('mat/pi_505_low.mat', 't', 'V_in', 'V_out');
#+end_src
#+begin_src matlab
Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_hi, f_hi] = tfestimate(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[co_hi, ~] = mscohere(hi.V_in, hi.V_out, win, [], [], 1/Ts);
[tf_lo, f_lo] = tfestimate(lo.V_in, lo.V_out, win, [], [], 1/Ts);
[co_lo, ~] = mscohere(lo.V_in, lo.V_out, win, [], [], 1/Ts);
#+end_src
#+begin_src matlab :exports none
figure;
ax1 = subplot(2, 1, 1);
hold on;
plot(f_hi, abs(tf_hi), 'DisplayName', 'high')
plot(f_lo, abs(tf_lo), 'DisplayName', 'low')
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
ylabel('Amplitude'); xlabel('Frequency [Hz]');
hold off;
legend('location', 'southwest');
ylim([0.1, 20]);
ax2 = subplot(2, 1, 2);
hold on;
plot(f_hi, 180/pi*unwrap(angle(tf_hi)))
plot(f_lo, 180/pi*unwrap(angle(tf_lo)))
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
ylabel('Phase'); xlabel('Frequency [Hz]');
hold off;
ylim([-360, 0]);
yticks(-360:90:90)
linkaxes([ax1,ax2], 'x');
xlim([10, 5000]);
#+end_src
#+begin_src matlab :tangle no :exports results :results file replace
exportFig('figs/change_level_pi.pdf', 'width', 'full', 'height', 'full');
#+end_src
#+name: fig:change_level_pi
#+caption: Effect of a change of voltage level on the Amplifier transfer function
#+RESULTS:
[[file:figs/change_level_pi.png]]
* Comparison PI / Cedrat
** 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
** Results
#+begin_src matlab
ce_results = load('mat/cedrat_la75b_high_1_stack.mat', 't', 'V_in', 'V_out');
pi_results = load('mat/pi_505_high.mat', 't', 'V_in', 'V_out');
#+end_src
#+begin_src matlab
Ts = 1e-4;
win = hann(ceil(0.1/Ts));
[tf_ce, f_ce] = tfestimate(ce_results.V_in, ce_results.V_out, win, [], [], 1/Ts);
[tf_pi, f_pi] = tfestimate(pi_results.V_in, pi_results.V_out, win, [], [], 1/Ts);
#+end_src
#+begin_src matlab :exports none
figure;
ax1 = subplot(2, 1, 1);
hold on;
plot(f_pi, abs(tf_pi), 'DisplayName', 'PI')
plot(f_ce, abs(tf_ce), 'DisplayName', 'Cedrat')
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
ylabel('Amplitude'); xlabel('Frequency [Hz]');
hold off;
legend('location', 'southwest');
ylim([0.1, 50]);
ax2 = subplot(2, 1, 2);
hold on;
plot(f_pi, 180/pi*unwrap(angle(tf_pi)))
plot(f_ce, 180/pi*unwrap(angle(tf_ce)))
set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
ylabel('Phase'); xlabel('Frequency [Hz]');
hold off;
ylim([-360, 0]);
yticks(-360:90:90)
linkaxes([ax1,ax2], 'x');
xlim([10, 5000]);
#+end_src
#+begin_src matlab :tangle no :exports results :results file replace
exportFig('figs/tf_amplifiers_comp.pdf', 'width', 'full', 'height', 'full');
#+end_src
#+name: fig:tf_amplifiers_comp
#+caption: Comparison of the two Amplifier transfer functions
#+RESULTS:
[[file:figs/tf_amplifiers_comp.png]]

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