2019-04-17 18:05:07 +02:00
<?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 >
2019-04-18 09:37:33 +02:00
<!-- 2019 - 04 - 18 jeu. 09:37 -->
2019-04-17 18:05:07 +02:00
< meta http-equiv = "Content-Type" content = "text/html;charset=utf-8" / >
< meta name = "viewport" content = "width=device-width, initial-scale=1" / >
< title > SpeedGoat< / title >
< meta name = "generator" content = "Org mode" / >
< meta name = "author" content = "Thomas Dehaeze" / >
< style type = "text/css" >
<!-- /* --> <![CDATA[/*> <!-- */
.title { text-align: center;
margin-bottom: .2em; }
.subtitle { text-align: center;
font-size: medium;
font-weight: bold;
margin-top:0; }
.todo { font-family: monospace; color: red; }
.done { font-family: monospace; color: green; }
.priority { font-family: monospace; color: orange; }
.tag { background-color: #eee; font-family: monospace;
padding: 2px; font-size: 80%; font-weight: normal; }
.timestamp { color: #bebebe; }
.timestamp-kwd { color: #5f9ea0; }
.org-right { margin-left: auto; margin-right: 0px; text-align: right; }
.org-left { margin-left: 0px; margin-right: auto; text-align: left; }
.org-center { margin-left: auto; margin-right: auto; text-align: center; }
.underline { text-decoration: underline; }
#postamble p, #preamble p { font-size: 90%; margin: .2em; }
p.verse { margin-left: 3%; }
pre {
border: 1px solid #ccc;
box-shadow: 3px 3px 3px #eee;
padding: 8pt;
font-family: monospace;
overflow: auto;
margin: 1.2em;
}
pre.src {
position: relative;
overflow: visible;
padding-top: 1.2em;
}
pre.src:before {
display: none;
position: absolute;
background-color: white;
top: -10px;
right: 10px;
padding: 3px;
border: 1px solid black;
}
pre.src:hover:before { display: inline;}
/* Languages per Org manual */
pre.src-asymptote:before { content: 'Asymptote'; }
pre.src-awk:before { content: 'Awk'; }
pre.src-C:before { content: 'C'; }
/* pre.src-C++ doesn't work in CSS */
pre.src-clojure:before { content: 'Clojure'; }
pre.src-css:before { content: 'CSS'; }
pre.src-D:before { content: 'D'; }
pre.src-ditaa:before { content: 'ditaa'; }
pre.src-dot:before { content: 'Graphviz'; }
pre.src-calc:before { content: 'Emacs Calc'; }
pre.src-emacs-lisp:before { content: 'Emacs Lisp'; }
pre.src-fortran:before { content: 'Fortran'; }
pre.src-gnuplot:before { content: 'gnuplot'; }
pre.src-haskell:before { content: 'Haskell'; }
pre.src-hledger:before { content: 'hledger'; }
pre.src-java:before { content: 'Java'; }
pre.src-js:before { content: 'Javascript'; }
pre.src-latex:before { content: 'LaTeX'; }
pre.src-ledger:before { content: 'Ledger'; }
pre.src-lisp:before { content: 'Lisp'; }
pre.src-lilypond:before { content: 'Lilypond'; }
pre.src-lua:before { content: 'Lua'; }
pre.src-matlab:before { content: 'MATLAB'; }
pre.src-mscgen:before { content: 'Mscgen'; }
pre.src-ocaml:before { content: 'Objective Caml'; }
pre.src-octave:before { content: 'Octave'; }
pre.src-org:before { content: 'Org mode'; }
pre.src-oz:before { content: 'OZ'; }
pre.src-plantuml:before { content: 'Plantuml'; }
pre.src-processing:before { content: 'Processing.js'; }
pre.src-python:before { content: 'Python'; }
pre.src-R:before { content: 'R'; }
pre.src-ruby:before { content: 'Ruby'; }
pre.src-sass:before { content: 'Sass'; }
pre.src-scheme:before { content: 'Scheme'; }
pre.src-screen:before { content: 'Gnu Screen'; }
pre.src-sed:before { content: 'Sed'; }
pre.src-sh:before { content: 'shell'; }
pre.src-sql:before { content: 'SQL'; }
pre.src-sqlite:before { content: 'SQLite'; }
/* additional languages in org.el's org-babel-load-languages alist */
pre.src-forth:before { content: 'Forth'; }
pre.src-io:before { content: 'IO'; }
pre.src-J:before { content: 'J'; }
pre.src-makefile:before { content: 'Makefile'; }
pre.src-maxima:before { content: 'Maxima'; }
pre.src-perl:before { content: 'Perl'; }
pre.src-picolisp:before { content: 'Pico Lisp'; }
pre.src-scala:before { content: 'Scala'; }
pre.src-shell:before { content: 'Shell Script'; }
pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
/* additional language identifiers per "defun org-babel-execute"
in ob-*.el */
pre.src-cpp:before { content: 'C++'; }
pre.src-abc:before { content: 'ABC'; }
pre.src-coq:before { content: 'Coq'; }
pre.src-groovy:before { content: 'Groovy'; }
/* additional language identifiers from org-babel-shell-names in
ob-shell.el: ob-shell is the only babel language using a lambda to put
the execution function name together. */
pre.src-bash:before { content: 'bash'; }
pre.src-csh:before { content: 'csh'; }
pre.src-ash:before { content: 'ash'; }
pre.src-dash:before { content: 'dash'; }
pre.src-ksh:before { content: 'ksh'; }
pre.src-mksh:before { content: 'mksh'; }
pre.src-posh:before { content: 'posh'; }
/* Additional Emacs modes also supported by the LaTeX listings package */
pre.src-ada:before { content: 'Ada'; }
pre.src-asm:before { content: 'Assembler'; }
pre.src-caml:before { content: 'Caml'; }
pre.src-delphi:before { content: 'Delphi'; }
pre.src-html:before { content: 'HTML'; }
pre.src-idl:before { content: 'IDL'; }
pre.src-mercury:before { content: 'Mercury'; }
pre.src-metapost:before { content: 'MetaPost'; }
pre.src-modula-2:before { content: 'Modula-2'; }
pre.src-pascal:before { content: 'Pascal'; }
pre.src-ps:before { content: 'PostScript'; }
pre.src-prolog:before { content: 'Prolog'; }
pre.src-simula:before { content: 'Simula'; }
pre.src-tcl:before { content: 'tcl'; }
pre.src-tex:before { content: 'TeX'; }
pre.src-plain-tex:before { content: 'Plain TeX'; }
pre.src-verilog:before { content: 'Verilog'; }
pre.src-vhdl:before { content: 'VHDL'; }
pre.src-xml:before { content: 'XML'; }
pre.src-nxml:before { content: 'XML'; }
/* add a generic configuration mode; LaTeX export needs an additional
(add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
pre.src-conf:before { content: 'Configuration File'; }
table { border-collapse:collapse; }
caption.t-above { caption-side: top; }
caption.t-bottom { caption-side: bottom; }
td, th { vertical-align:top; }
th.org-right { text-align: center; }
th.org-left { text-align: center; }
th.org-center { text-align: center; }
td.org-right { text-align: right; }
td.org-left { text-align: left; }
td.org-center { text-align: center; }
dt { font-weight: bold; }
.footpara { display: inline; }
.footdef { margin-bottom: 1em; }
.figure { padding: 1em; }
.figure p { text-align: center; }
.equation-container {
display: table;
text-align: center;
width: 100%;
}
.equation {
vertical-align: middle;
}
.equation-label {
display: table-cell;
text-align: right;
vertical-align: middle;
}
.inlinetask {
padding: 10px;
border: 2px solid gray;
margin: 10px;
background: #ffffcc;
}
#org-div-home-and-up
{ text-align: right; font-size: 70%; white-space: nowrap; }
textarea { overflow-x: auto; }
.linenr { font-size: smaller }
.code-highlighted { background-color: #ffff00; }
.org-info-js_info-navigation { border-style: none; }
#org-info-js_console-label
{ font-size: 10px; font-weight: bold; white-space: nowrap; }
.org-info-js_search-highlight
{ background-color: #ffff00; color: #000000; font-weight: bold; }
.org-svg { width: 90%; }
/*]]>*/-->
< / style >
2019-04-17 18:20:17 +02:00
< link rel = "stylesheet" type = "text/css" href = "../css/htmlize.css" / >
< link rel = "stylesheet" type = "text/css" href = "../css/readtheorg.css" / >
< link rel = "stylesheet" type = "text/css" href = "../css/zenburn.css" / >
< script type = "text/javascript" src = "../js/jquery.min.js" > < / script >
< script type = "text/javascript" src = "../js/bootstrap.min.js" > < / script >
< script type = "text/javascript" src = "../js/jquery.stickytableheaders.min.js" > < / script >
< script type = "text/javascript" src = "../js/readtheorg.js" > < / script >
2019-04-17 18:05:07 +02:00
< script type = "text/javascript" >
/*
@licstart The following is the entire license notice for the
JavaScript code in this tag.
Copyright (C) 2012-2019 Free Software Foundation, Inc.
The JavaScript code in this tag is free software: you can
redistribute it and/or modify it under the terms of the GNU
General Public License (GNU GPL) as published by the Free Software
Foundation, either version 3 of the License, or (at your option)
any later version. The code is distributed WITHOUT ANY WARRANTY;
without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
As additional permission under GNU GPL version 3 section 7, you
may distribute non-source (e.g., minimized or compacted) forms of
that code without the copy of the GNU GPL normally required by
section 4, provided you include this license notice and a URL
through which recipients can access the Corresponding Source.
@licend The above is the entire license notice
for the JavaScript code in this tag.
*/
<!-- /* --> <![CDATA[/*> <!-- */
function CodeHighlightOn(elem, id)
{
var target = document.getElementById(id);
if(null != target) {
elem.cacheClassElem = elem.className;
elem.cacheClassTarget = target.className;
target.className = "code-highlighted";
elem.className = "code-highlighted";
}
}
function CodeHighlightOff(elem, id)
{
var target = document.getElementById(id);
if(elem.cacheClassElem)
elem.className = elem.cacheClassElem;
if(elem.cacheClassTarget)
target.className = elem.cacheClassTarget;
}
/*]]>*///-->
< / script >
< / head >
< body >
< div id = "content" >
< h1 class = "title" > SpeedGoat< / h1 >
< div id = "table-of-contents" >
< h2 > Table of Contents< / h2 >
< div id = "text-table-of-contents" >
< ul >
2019-04-18 09:37:33 +02:00
< li > < a href = "#org1a9211f" > 1. Setup< / a > < / li >
< li > < a href = "#org85eb6b7" > 2. Signal Processing< / a >
2019-04-17 18:20:17 +02:00
< ul >
2019-04-18 09:37:33 +02:00
< li > < a href = "#orgc69f0d0" > 2.1. Load data< / a > < / li >
< li > < a href = "#org8e9f3dd" > 2.2. Time Domain Data< / a > < / li >
< li > < a href = "#orgade2d36" > 2.3. Compute PSD< / a > < / li >
< li > < a href = "#orgbee0cb3" > 2.4. Take into account sensibility of Geophone< / a > < / li >
< li > < a href = "#org92a562d" > 2.5. Transfer function between the two geophones< / a > < / li >
2019-04-17 18:20:17 +02:00
< / ul >
< / li >
2019-04-17 18:05:07 +02:00
< / ul >
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-org1a9211f" class = "outline-2" >
< h2 id = "org1a9211f" > < span class = "section-number-2" > 1< / span > Setup< / h2 >
2019-04-17 18:05:07 +02:00
< div class = "outline-text-2" id = "text-1" >
2019-04-17 18:20:17 +02:00
< p >
Two L22 geophones are used.
They are placed on the ID31 granite.
They are leveled.
< / p >
< p >
The signals are amplified using voltage amplifier with a gain of 60dB.
The voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz.
< / p >
2019-04-18 09:37:33 +02:00
< div id = "orgb098801" class = "figure" >
2019-04-17 18:20:17 +02:00
< p > < img src = "./figs/setup.jpg" alt = "setup.jpg" width = "500px" / >
< / p >
< p > < span class = "figure-number" > Figure 1: < / span > Setup< / p >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org9c92645" class = "figure" >
2019-04-17 18:20:17 +02:00
< p > < img src = "./figs/geophones.jpg" alt = "geophones.jpg" width = "500px" / >
< / p >
< p > < span class = "figure-number" > Figure 2: < / span > Geophones< / p >
< / div >
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-org85eb6b7" class = "outline-2" >
< h2 id = "org85eb6b7" > < span class = "section-number-2" > 2< / span > Signal Processing< / h2 >
2019-04-17 18:20:17 +02:00
< div class = "outline-text-2" id = "text-2" >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-orgc69f0d0" class = "outline-3" >
< h3 id = "orgc69f0d0" > < span class = "section-number-3" > 2.1< / span > Load data< / h3 >
2019-04-17 18:20:17 +02:00
< div class = "outline-text-3" id = "text-2-1" >
2019-04-17 18:05:07 +02:00
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > load< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > 'mat/data_001.mat', 't', 'x1', 'x2'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
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 > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-org8e9f3dd" class = "outline-3" >
< h3 id = "org8e9f3dd" > < span class = "section-number-3" > 2.2< / span > Time Domain Data< / h3 >
2019-04-17 18:20:17 +02:00
< div class = "outline-text-3" id = "text-2-2" >
2019-04-17 18:05:07 +02:00
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > < span class = "org-type" > figure< / span > ;
2019-04-17 18:05:07 +02:00
hold on;
2019-04-18 09:20:31 +02:00
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > t, x1< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > t, x2< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
hold off;
2019-04-18 09:20:31 +02:00
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-rainbow-delimiters-depth-1" > )< / span > ;
ylabel< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > 'Voltage < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < / span > < span class = "org-string" > V< / 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 > ;
xlim< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > t< span class = "org-rainbow-delimiters-depth-3" > (< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-3" > )< / span > , t< span class = "org-rainbow-delimiters-depth-3" > (< / span > end< span class = "org-rainbow-delimiters-depth-3" > )< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org8d315fb" class = "figure" >
2019-04-17 18:05:07 +02:00
< p > < img src = "figs/data_time_domain.png" alt = "data_time_domain.png" / >
< / p >
2019-04-17 18:20:17 +02:00
< p > < span class = "figure-number" > Figure 3: < / span > Time domain Data< / p >
2019-04-17 18:05:07 +02:00
< / div >
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > < span class = "org-type" > figure< / span > ;
2019-04-17 18:05:07 +02:00
hold on;
2019-04-18 09:20:31 +02:00
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > t, x1< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > t, x2< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
hold off;
2019-04-18 09:20:31 +02:00
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-rainbow-delimiters-depth-1" > )< / span > ;
ylabel< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > 'Voltage < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < / span > < span class = "org-string" > V< / 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 > ;
xlim< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < span class = "org-highlight-numbers-number" > 0< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org15ef996" class = "figure" >
2019-04-17 18:05:07 +02:00
< p > < img src = "figs/data_time_domain_zoom.png" alt = "data_time_domain_zoom.png" / >
< / p >
2019-04-17 18:20:17 +02:00
< p > < span class = "figure-number" > Figure 4: < / span > Time domain Data - Zoom< / p >
2019-04-17 18:05:07 +02:00
< / div >
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-orgade2d36" class = "outline-3" >
< h3 id = "orgade2d36" > < span class = "section-number-3" > 2.3< / span > Compute PSD< / h3 >
2019-04-17 18:20:17 +02:00
< div class = "outline-text-3" id = "text-2-3" >
2019-04-17 18:05:07 +02:00
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > < span class = "org-rainbow-delimiters-depth-1" > [< / span > pxx1, f1< span class = "org-rainbow-delimiters-depth-1" > ]< / span > = pwelch< span class = "org-rainbow-delimiters-depth-1" > (< / span > x1, hanning< span class = "org-rainbow-delimiters-depth-2" > (< / span > ceil< span class = "org-rainbow-delimiters-depth-3" > (< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > /< / span > dt< span class = "org-rainbow-delimiters-depth-3" > )< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 0< / span > , < span class = "org-rainbow-delimiters-depth-2" > []< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > /< / span > dt< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
< span class = "org-rainbow-delimiters-depth-1" > [< / span > pxx2, f2< span class = "org-rainbow-delimiters-depth-1" > ]< / span > = pwelch< span class = "org-rainbow-delimiters-depth-1" > (< / span > x2, hanning< span class = "org-rainbow-delimiters-depth-2" > (< / span > ceil< span class = "org-rainbow-delimiters-depth-3" > (< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > /< / span > dt< span class = "org-rainbow-delimiters-depth-3" > )< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-highlight-numbers-number" > 0< / span > , < span class = "org-rainbow-delimiters-depth-2" > []< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > /< / span > dt< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-orgbee0cb3" class = "outline-3" >
< h3 id = "orgbee0cb3" > < span class = "section-number-3" > 2.4< / span > Take into account sensibility of Geophone< / h3 >
2019-04-17 18:20:17 +02:00
< div class = "outline-text-3" id = "text-2-4" >
2019-04-17 18:05:07 +02:00
< p >
The Geophone used are L22.
< / p >
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > S0 = < span class = "org-highlight-numbers-number" > 88< / span > ; < span class = "org-comment" > % Sensitivity [V/(m/s)]< / span >
f0 = < span class = "org-highlight-numbers-number" > 2< / span > ; < span class = "org-comment" > % Cut-off frequnecy [Hz]< / span >
S = < span class = "org-rainbow-delimiters-depth-1" > (< / span > s< span class = "org-type" > /< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > /< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > /< / span > f0< span class = "org-rainbow-delimiters-depth-1" > )< / span > < span class = "org-type" > /< / span > < span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > +< / span > s< span class = "org-type" > /< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > /< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > /< / span > f0< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > < span class = "org-type" > figure< / span > ;
bodeFig< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > {< / span > S< span class = "org-rainbow-delimiters-depth-2" > }< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
ylabel< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > 'Amplitude < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < / span > < span class = "org-string" > V/< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > (< / span > < / span > < span class = "org-string" > m/s< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > )< / span > < / 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 >
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org434e518" class = "figure" >
2019-04-17 18:05:07 +02:00
< p > < img src = "figs/geophone_sensibility.png" alt = "geophone_sensibility.png" / >
< / p >
2019-04-17 18:20:17 +02:00
< p > < span class = "figure-number" > Figure 5: < / span > Sensibility of the Geophone< / p >
2019-04-17 18:05:07 +02:00
< / div >
< p >
We take into account the gain of the electronics.
The cut-off frequency is set at 1kHz.
< / p >
< ul class = "org-ul" >
< li class = "off" > < code > [  ]< / code > Check what is the order of the filter< / li >
< li class = "off" > < code > [  ]< / code > Maybe I should not use this filter as there is no high frequencies anyway?< / li >
< / ul >
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > G0 = < span class = "org-highlight-numbers-number" > 60< / span > ; < span class = "org-comment" > % [dB]< / span >
2019-04-17 18:05:07 +02:00
2019-04-18 09:20:31 +02:00
G = G0< span class = "org-type" > /< / span > < span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > +< / span > s< span class = "org-type" > /< / span > < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-type" > /< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > /< / span > < span class = "org-highlight-numbers-number" > 1000< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
< div class = "org-src-container" >
2019-04-18 09:20:31 +02:00
< pre class = "src src-matlab" > < span class = "org-type" > figure< / span > ;
2019-04-17 18:05:07 +02:00
hold on;
2019-04-18 09:20:31 +02:00
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > f1, sqrt< span class = "org-rainbow-delimiters-depth-2" > (< / span > pxx1< span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-type" > ./< / span > squeeze< span class = "org-rainbow-delimiters-depth-2" > (< / span > abs< span class = "org-rainbow-delimiters-depth-3" > (< / span > freqresp< span class = "org-rainbow-delimiters-depth-4" > (< / span > G, f1, < span class = "org-string" > 'Hz'< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-4" > )< / span > < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > )< / span > < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > )< / span > < / span > < span class = "org-string" > ./squeeze< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > (< / span > < / span > < span class = "org-string" > abs< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > (< / span > < / span > < span class = "org-string" > freqresp< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-4" > (< / span > < / span > < span class = "org-string" > S, f1, 'Hz'< / span > < span class = "org-rainbow-delimiters-depth-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 > ;
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > f2, sqrt< span class = "org-rainbow-delimiters-depth-2" > (< / span > pxx2< span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-type" > ./< / span > squeeze< span class = "org-rainbow-delimiters-depth-2" > (< / span > abs< span class = "org-rainbow-delimiters-depth-3" > (< / span > freqresp< span class = "org-rainbow-delimiters-depth-4" > (< / span > G, f2, < span class = "org-string" > 'Hz'< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-4" > )< / span > < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > )< / span > < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > )< / span > < / span > < span class = "org-string" > ./squeeze< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > (< / span > < / span > < span class = "org-string" > abs< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > (< / span > < / span > < span class = "org-string" > freqresp< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-4" > (< / span > < / span > < span class = "org-string" > S, f2, 'Hz'< / span > < span class = "org-rainbow-delimiters-depth-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 > ;
2019-04-17 18:05:07 +02:00
hold off;
2019-04-18 09:20:31 +02:00
< 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-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" > 'yscale', 'log'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
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-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" > 'PSD < / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < / span > < span class = "org-string" > m/s/sqrt< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > (< / span > < / span > < span class = "org-string" > Hz< / span > < span class = "org-string" > < span class = "org-rainbow-delimiters-depth-3" > )< / span > < / 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 >
xlim< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < span class = "org-highlight-numbers-number" > 2< / span > , < span class = "org-highlight-numbers-number" > 500< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-17 18:05:07 +02:00
< / pre >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org16b2e10" class = "figure" >
2019-04-17 18:05:07 +02:00
< p > < img src = "figs/psd_velocity.png" alt = "psd_velocity.png" / >
< / p >
2019-04-17 18:20:17 +02:00
< p > < span class = "figure-number" > Figure 6: < / span > Spectral density of the velocity< / p >
< / div >
2019-04-17 18:05:07 +02:00
< / div >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "outline-container-org92a562d" class = "outline-3" >
< h3 id = "org92a562d" > < span class = "section-number-3" > 2.5< / span > Transfer function between the two geophones< / h3 >
2019-04-18 09:20:31 +02:00
< div class = "outline-text-3" id = "text-2-5" >
< div class = "org-src-container" >
2019-04-18 09:37:33 +02:00
< pre class = "src src-matlab" > < span class = "org-rainbow-delimiters-depth-1" > [< / span > T12, f12< span class = "org-rainbow-delimiters-depth-1" > ]< / span > = tfestimate< span class = "org-rainbow-delimiters-depth-1" > (< / span > x1, x2, hanning< span class = "org-rainbow-delimiters-depth-2" > (< / span > ceil< span class = "org-rainbow-delimiters-depth-3" > (< / span > length< span class = "org-rainbow-delimiters-depth-4" > (< / span > x1< span class = "org-rainbow-delimiters-depth-4" > )< / span > < span class = "org-type" > /< / span > < span class = "org-highlight-numbers-number" > 100< / span > < span class = "org-rainbow-delimiters-depth-3" > )< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > , < span class = "org-rainbow-delimiters-depth-2" > []< / span > , < span class = "org-rainbow-delimiters-depth-2" > []< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-type" > /< / span > dt< span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-18 09:20:31 +02:00
< / pre >
< / div >
< div class = "org-src-container" >
< pre class = "src src-matlab" > < span class = "org-type" > figure< / span > ;
ax1 = subplot< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-highlight-numbers-number" > 2< / span > , < span class = "org-highlight-numbers-number" > 1< / span > , < span class = "org-highlight-numbers-number" > 1< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > f12, abs< span class = "org-rainbow-delimiters-depth-2" > (< / span > T12< 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 > ;
< 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" > 'XTickLabel'< / span > ,< span class = "org-rainbow-delimiters-depth-2" > []< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
ylabel< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-string" > 'Magnitude'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
ax2 = subplot< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-highlight-numbers-number" > 2< / span > , < span class = "org-highlight-numbers-number" > 1< / span > , < span class = "org-highlight-numbers-number" > 2< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
plot< span class = "org-rainbow-delimiters-depth-1" > (< / span > f12, mod< span class = "org-rainbow-delimiters-depth-2" > (< / span > < span class = "org-highlight-numbers-number" > 180< / span > < span class = "org-type" > +< / span > < span class = "org-highlight-numbers-number" > 180< / span > < span class = "org-type" > /< / span > < span class = "org-constant" > pi< / span > < span class = "org-type" > *< / span > phase< span class = "org-rainbow-delimiters-depth-3" > (< / span > T12< span class = "org-rainbow-delimiters-depth-3" > )< / span > , < span class = "org-highlight-numbers-number" > 360< / span > < span class = "org-rainbow-delimiters-depth-2" > )< / span > < span class = "org-type" > -< / span > < span class = "org-highlight-numbers-number" > 180< / 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-rainbow-delimiters-depth-1" > )< / span > ;
ylim< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < span class = "org-type" > -< / span > < span class = "org-highlight-numbers-number" > 180< / span > , < span class = "org-highlight-numbers-number" > 180< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
yticks< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < span class = "org-type" > -< / span > < span class = "org-highlight-numbers-number" > 180< / span > , < span class = "org-type" > -< / span > < span class = "org-highlight-numbers-number" > 90< / span > , < span class = "org-highlight-numbers-number" > 0< / span > , < span class = "org-highlight-numbers-number" > 90< / span > , < span class = "org-highlight-numbers-number" > 180< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
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-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" > 'Phase'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
linkaxes< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > ax1,ax2< span class = "org-rainbow-delimiters-depth-2" > ]< / span > ,< span class = "org-string" > 'x'< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-18 09:37:33 +02:00
xlim< span class = "org-rainbow-delimiters-depth-1" > (< / span > < span class = "org-rainbow-delimiters-depth-2" > [< / span > < span class = "org-highlight-numbers-number" > 1< / span > , < span class = "org-highlight-numbers-number" > 500< / span > < span class = "org-rainbow-delimiters-depth-2" > ]< / span > < span class = "org-rainbow-delimiters-depth-1" > )< / span > ;
2019-04-18 09:20:31 +02:00
< / pre >
< / div >
2019-04-18 09:37:33 +02:00
< div id = "org628446d" class = "figure" >
2019-04-18 09:20:31 +02:00
< p > < img src = "figs/tf_geophones.png" alt = "tf_geophones.png" / >
< / p >
< p > < span class = "figure-number" > Figure 7: < / span > Estimated transfer function between the two geophones< / p >
< / div >
< / div >
< / div >
2019-04-17 18:05:07 +02:00
< / div >
< / div >
< div id = "postamble" class = "status" >
< p class = "author" > Author: Thomas Dehaeze< / p >
2019-04-18 09:37:33 +02:00
< p class = "date" > Created: 2019-04-18 jeu. 09:37< / p >
2019-04-17 18:05:07 +02:00
< p class = "validation" > < a href = "http://validator.w3.org/check?uri=referer" > Validate< / a > < / p >
< / div >
< / body >
< / html >
