Initial Commit
51
.gitignore
vendored
Normal file
@ -0,0 +1,51 @@
|
||||
*.tex
|
||||
|
||||
**/figs/*.pdf
|
||||
**/figs/*.svg
|
||||
**/figs/*.tex
|
||||
|
||||
# Emacs
|
||||
auto/
|
||||
|
||||
# Simulink Real Time
|
||||
*bio.m
|
||||
*pt.m
|
||||
*ref.m
|
||||
*ri.m
|
||||
*xcp.m
|
||||
*.mldatx
|
||||
*.slxc
|
||||
*.xml
|
||||
*_slrt_rtw/
|
||||
|
||||
# data
|
||||
# data/
|
||||
|
||||
# Windows default autosave extension
|
||||
*.asv
|
||||
|
||||
# OSX / *nix default autosave extension
|
||||
*.m~
|
||||
|
||||
# Compiled MEX binaries (all platforms)
|
||||
*.mex*
|
||||
|
||||
# Packaged app and toolbox files
|
||||
*.mlappinstall
|
||||
*.mltbx
|
||||
|
||||
# Generated helpsearch folders
|
||||
helpsearch*/
|
||||
|
||||
# Simulink code generation folders
|
||||
slprj/
|
||||
sccprj/
|
||||
|
||||
# Matlab code generation folders
|
||||
codegen/
|
||||
|
||||
# Simulink autosave extension
|
||||
*.autosave
|
||||
|
||||
# Octave session info
|
||||
octave-workspace
|
145
css/htmlize.css
Normal file
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|
||||
.org-bold { /* bold */ font-weight: bold; }
|
||||
.org-bold-italic { /* bold-italic */ font-weight: bold; font-style: italic; }
|
||||
.org-buffer-menu-buffer { /* buffer-menu-buffer */ font-weight: bold; }
|
||||
.org-builtin { /* font-lock-builtin-face */ color: #7a378b; }
|
||||
.org-button { /* button */ text-decoration: underline; }
|
||||
.org-calendar-today { /* calendar-today */ text-decoration: underline; }
|
||||
.org-change-log-acknowledgement { /* change-log-acknowledgement */ color: #b22222; }
|
||||
.org-change-log-conditionals { /* change-log-conditionals */ color: #a0522d; }
|
||||
.org-change-log-date { /* change-log-date */ color: #8b2252; }
|
||||
.org-change-log-email { /* change-log-email */ color: #a0522d; }
|
||||
.org-change-log-file { /* change-log-file */ color: #0000ff; }
|
||||
.org-change-log-function { /* change-log-function */ color: #a0522d; }
|
||||
.org-change-log-list { /* change-log-list */ color: #a020f0; }
|
||||
.org-change-log-name { /* change-log-name */ color: #008b8b; }
|
||||
.org-comint-highlight-input { /* comint-highlight-input */ font-weight: bold; }
|
||||
.org-comint-highlight-prompt { /* comint-highlight-prompt */ color: #00008b; }
|
||||
.org-comment { /* font-lock-comment-face */ color: #999988; font-style: italic; }
|
||||
.org-comment-delimiter { /* font-lock-comment-delimiter-face */ color: #999988; font-style: italic; }
|
||||
.org-completions-annotations { /* completions-annotations */ font-style: italic; }
|
||||
.org-completions-common-part { /* completions-common-part */ color: #000000; background-color: #ffffff; }
|
||||
.org-completions-first-difference { /* completions-first-difference */ font-weight: bold; }
|
||||
.org-constant { /* font-lock-constant-face */ color: #008b8b; }
|
||||
.org-diary { /* diary */ color: #ff0000; }
|
||||
.org-diff-context { /* diff-context */ color: #7f7f7f; }
|
||||
.org-diff-file-header { /* diff-file-header */ background-color: #b3b3b3; font-weight: bold; }
|
||||
.org-diff-function { /* diff-function */ background-color: #cccccc; }
|
||||
.org-diff-header { /* diff-header */ background-color: #cccccc; }
|
||||
.org-diff-hunk-header { /* diff-hunk-header */ background-color: #cccccc; }
|
||||
.org-diff-index { /* diff-index */ background-color: #b3b3b3; font-weight: bold; }
|
||||
.org-diff-nonexistent { /* diff-nonexistent */ background-color: #b3b3b3; font-weight: bold; }
|
||||
.org-diff-refine-change { /* diff-refine-change */ background-color: #d9d9d9; }
|
||||
.org-dired-directory { /* dired-directory */ color: #0000ff; }
|
||||
.org-dired-flagged { /* dired-flagged */ color: #ff0000; font-weight: bold; }
|
||||
.org-dired-header { /* dired-header */ color: #228b22; }
|
||||
.org-dired-ignored { /* dired-ignored */ color: #7f7f7f; }
|
||||
.org-dired-mark { /* dired-mark */ color: #008b8b; }
|
||||
.org-dired-marked { /* dired-marked */ color: #ff0000; font-weight: bold; }
|
||||
.org-dired-perm-write { /* dired-perm-write */ color: #b22222; }
|
||||
.org-dired-symlink { /* dired-symlink */ color: #a020f0; }
|
||||
.org-dired-warning { /* dired-warning */ color: #ff0000; font-weight: bold; }
|
||||
.org-doc { /* font-lock-doc-face */ color: #8b2252; }
|
||||
.org-escape-glyph { /* escape-glyph */ color: #a52a2a; }
|
||||
.org-file-name-shadow { /* file-name-shadow */ color: #7f7f7f; }
|
||||
.org-flyspell-duplicate { /* flyspell-duplicate */ color: #cdad00; font-weight: bold; text-decoration: underline; }
|
||||
.org-flyspell-incorrect { /* flyspell-incorrect */ color: #ff4500; font-weight: bold; text-decoration: underline; }
|
||||
.org-fringe { /* fringe */ background-color: #f2f2f2; }
|
||||
.org-function-name { /* font-lock-function-name-face */ color: teal; }
|
||||
.org-header-line { /* header-line */ color: #333333; background-color: #e5e5e5; }
|
||||
.org-help-argument-name { /* help-argument-name */ font-style: italic; }
|
||||
.org-highlight { /* highlight */ background-color: #b4eeb4; }
|
||||
.org-holiday { /* holiday */ background-color: #ffc0cb; }
|
||||
.org-isearch { /* isearch */ color: #b0e2ff; background-color: #cd00cd; }
|
||||
.org-isearch-fail { /* isearch-fail */ background-color: #ffc1c1; }
|
||||
.org-italic { /* italic */ font-style: italic; }
|
||||
.org-keyword { /* font-lock-keyword-face */ color: #0086b3; }
|
||||
.org-lazy-highlight { /* lazy-highlight */ background-color: #afeeee; }
|
||||
.org-link { /* link */ color: #0000ff; text-decoration: underline; }
|
||||
.org-link-visited { /* link-visited */ color: #8b008b; text-decoration: underline; }
|
||||
.org-log-edit-header { /* log-edit-header */ color: #a020f0; }
|
||||
.org-log-edit-summary { /* log-edit-summary */ color: #0000ff; }
|
||||
.org-log-edit-unknown-header { /* log-edit-unknown-header */ color: #b22222; }
|
||||
.org-match { /* match */ background-color: #ffff00; }
|
||||
.org-next-error { /* next-error */ background-color: #eedc82; }
|
||||
.org-nobreak-space { /* nobreak-space */ color: #a52a2a; text-decoration: underline; }
|
||||
.org-org-archived { /* org-archived */ color: #7f7f7f; }
|
||||
.org-org-block { /* org-block */ color: #7f7f7f; }
|
||||
.org-org-block-begin-line { /* org-block-begin-line */ color: #b22222; }
|
||||
.org-org-block-end-line { /* org-block-end-line */ color: #b22222; }
|
||||
.org-org-checkbox { /* org-checkbox */ font-weight: bold; }
|
||||
.org-org-checkbox-statistics-done { /* org-checkbox-statistics-done */ color: #228b22; font-weight: bold; }
|
||||
.org-org-checkbox-statistics-todo { /* org-checkbox-statistics-todo */ color: #ff0000; font-weight: bold; }
|
||||
.org-org-clock-overlay { /* org-clock-overlay */ background-color: #ffff00; }
|
||||
.org-org-code { /* org-code */ color: #7f7f7f; }
|
||||
.org-org-column { /* org-column */ background-color: #e5e5e5; }
|
||||
.org-org-column-title { /* org-column-title */ background-color: #e5e5e5; font-weight: bold; text-decoration: underline; }
|
||||
.org-org-date { /* org-date */ color: #a020f0; text-decoration: underline; }
|
||||
.org-org-document-info { /* org-document-info */ color: #191970; }
|
||||
.org-org-document-info-keyword { /* org-document-info-keyword */ color: #7f7f7f; }
|
||||
.org-org-document-title { /* org-document-title */ color: #191970; font-size: 144%; font-weight: bold; }
|
||||
.org-org-done { /* org-done */ color: #228b22; font-weight: bold; }
|
||||
.org-org-drawer { /* org-drawer */ color: #0000ff; }
|
||||
.org-org-ellipsis { /* org-ellipsis */ color: #b8860b; text-decoration: underline; }
|
||||
.org-org-footnote { /* org-footnote */ color: #a020f0; text-decoration: underline; }
|
||||
.org-org-formula { /* org-formula */ color: #b22222; }
|
||||
.org-org-headline-done { /* org-headline-done */ color: #bc8f8f; }
|
||||
.org-org-hide { /* org-hide */ color: #ffffff; }
|
||||
.org-org-latex-and-export-specials { /* org-latex-and-export-specials */ color: #8b4513; }
|
||||
.org-org-level-1 { /* org-level-1 */ color: #0000ff; }
|
||||
.org-org-level-2 { /* org-level-2 */ color: #a0522d; }
|
||||
.org-org-level-3 { /* org-level-3 */ color: #a020f0; }
|
||||
.org-org-level-4 { /* org-level-4 */ color: #b22222; }
|
||||
.org-org-level-5 { /* org-level-5 */ color: #228b22; }
|
||||
.org-org-level-6 { /* org-level-6 */ color: #008b8b; }
|
||||
.org-org-level-7 { /* org-level-7 */ color: #7a378b; }
|
||||
.org-org-level-8 { /* org-level-8 */ color: #8b2252; }
|
||||
.org-org-link { /* org-link */ color: #0000ff; text-decoration: underline; }
|
||||
.org-org-meta-line { /* org-meta-line */ color: #b22222; }
|
||||
.org-org-mode-line-clock { /* org-mode-line-clock */ color: #000000; background-color: #bfbfbf; }
|
||||
.org-org-mode-line-clock-overrun { /* org-mode-line-clock-overrun */ color: #000000; background-color: #ff0000; }
|
||||
.org-org-quote { /* org-quote */ color: #7f7f7f; }
|
||||
.org-org-scheduled { /* org-scheduled */ color: #006400; }
|
||||
.org-org-scheduled-previously { /* org-scheduled-previously */ color: #b22222; }
|
||||
.org-org-scheduled-today { /* org-scheduled-today */ color: #006400; }
|
||||
.org-org-sexp-date { /* org-sexp-date */ color: #a020f0; }
|
||||
.org-org-special-keyword { /* org-special-keyword */ color: #a020f0; }
|
||||
.org-org-table { /* org-table */ color: #0000ff; }
|
||||
.org-org-tag { /* org-tag */ font-weight: bold; }
|
||||
.org-org-target { /* org-target */ text-decoration: underline; }
|
||||
.org-org-time-grid { /* org-time-grid */ color: #b8860b; }
|
||||
.org-org-todo { /* org-todo */ color: #ff0000; font-weight: bold; }
|
||||
.org-org-upcoming-deadline { /* org-upcoming-deadline */ color: #b22222; }
|
||||
.org-org-verbatim { /* org-verbatim */ color: #7f7f7f; }
|
||||
.org-org-verse { /* org-verse */ color: #7f7f7f; }
|
||||
.org-org-warning { /* org-warning */ color: #ff0000; font-weight: bold; }
|
||||
.org-outline-1 { /* outline-1 */ color: #0000ff; }
|
||||
.org-outline-2 { /* outline-2 */ color: #a0522d; }
|
||||
.org-outline-3 { /* outline-3 */ color: #a020f0; }
|
||||
.org-outline-4 { /* outline-4 */ color: #b22222; }
|
||||
.org-outline-5 { /* outline-5 */ color: #228b22; }
|
||||
.org-outline-6 { /* outline-6 */ color: #008b8b; }
|
||||
.org-outline-7 { /* outline-7 */ color: #7a378b; }
|
||||
.org-outline-8 { /* outline-8 */ color: #8b2252; }
|
||||
.org-preprocessor { /* font-lock-preprocessor-face */ color: #7a378b; }
|
||||
.org-query-replace { /* query-replace */ color: #b0e2ff; background-color: #cd00cd; }
|
||||
.org-regexp-grouping-backslash { /* font-lock-regexp-grouping-backslash */ font-weight: bold; }
|
||||
.org-regexp-grouping-construct { /* font-lock-regexp-grouping-construct */ font-weight: bold; }
|
||||
.org-region { /* region */ background-color: #eedc82; }
|
||||
.org-secondary-selection { /* secondary-selection */ background-color: #ffff00; }
|
||||
.org-shadow { /* shadow */ color: #7f7f7f; }
|
||||
.org-show-paren-match { /* show-paren-match */ background-color: #40e0d0; }
|
||||
.org-show-paren-mismatch { /* show-paren-mismatch */ color: #ffffff; background-color: #a020f0; }
|
||||
.org-string { /* font-lock-string-face */ color: #dd1144; }
|
||||
.org-tool-bar { /* tool-bar */ color: #000000; background-color: #bfbfbf; }
|
||||
.org-tooltip { /* tooltip */ color: #000000; background-color: #ffffe0; }
|
||||
.org-trailing-whitespace { /* trailing-whitespace */ background-color: #ff0000; }
|
||||
.org-type { /* font-lock-type-face */ color: #228b22; }
|
||||
.org-underline { /* underline */ text-decoration: underline; }
|
||||
.org-variable-name { /* font-lock-variable-name-face */ color: teal; }
|
||||
.org-warning { /* font-lock-warning-face */ color: #ff0000; font-weight: bold; }
|
||||
.org-widget-button { /* widget-button */ font-weight: bold; }
|
||||
.org-widget-button-pressed { /* widget-button-pressed */ color: #ff0000; }
|
||||
.org-widget-documentation { /* widget-documentation */ color: #006400; }
|
||||
.org-widget-field { /* widget-field */ background-color: #d9d9d9; }
|
||||
.org-widget-inactive { /* widget-inactive */ color: #7f7f7f; }
|
||||
.org-widget-single-line-field { /* widget-single-line-field */ background-color: #d9d9d9; }
|
1095
css/readtheorg.css
Normal file
BIN
figs/cheby1_hpf.png
Normal file
After Width: | Height: | Size: 21 KiB |
BIN
figs/hpf_first_order.png
Normal file
After Width: | Height: | Size: 19 KiB |
BIN
figs/hpf_multiple_first_order.png
Normal file
After Width: | Height: | Size: 21 KiB |
BIN
figs/hpf_second_order.png
Normal file
After Width: | Height: | Size: 20 KiB |
BIN
figs/lag_filter.png
Normal file
After Width: | Height: | Size: 20 KiB |
BIN
figs/lead_filter.png
Normal file
After Width: | Height: | Size: 19 KiB |
BIN
figs/lead_lag_filter.png
Normal file
After Width: | Height: | Size: 23 KiB |
BIN
figs/lpf_first_order.png
Normal file
After Width: | Height: | Size: 20 KiB |
BIN
figs/lpf_multiple_first_order.png
Normal file
After Width: | Height: | Size: 24 KiB |
BIN
figs/lpf_second_order.png
Normal file
After Width: | Height: | Size: 22 KiB |
514
index.html
Normal file
@ -0,0 +1,514 @@
|
||||
<?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>
|
||||
<!-- 2019-08-15 jeu. 12:24 -->
|
||||
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1" />
|
||||
<title>List of filters - Matlab Implementation</title>
|
||||
<meta name="generator" content="Org mode" />
|
||||
<meta name="author" content="Dehaeze Thomas" />
|
||||
<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'; }
|
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<body>
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<a accesskey="H" href="./index.html"> HOME </a>
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</div><div id="content">
|
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<h1 class="title">List of filters - Matlab Implementation</h1>
|
||||
<div id="table-of-contents">
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#orgb268523">1. Low Pass</a>
|
||||
<ul>
|
||||
<li><a href="#orgc6f2664">1.1. First Order</a></li>
|
||||
<li><a href="#org9a99d55">1.2. Second Order</a></li>
|
||||
<li><a href="#org360c529">1.3. Combine multiple filters</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#orgb54c74e">2. High Pass</a>
|
||||
<ul>
|
||||
<li><a href="#orgd3a001c">2.1. First Order</a></li>
|
||||
<li><a href="#orgbb7602b">2.2. Second Order</a></li>
|
||||
<li><a href="#org593e27b">2.3. Combine multiple filters</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org499bdf6">3. Band Pass</a></li>
|
||||
<li><a href="#orge29baf7">4. Notch</a></li>
|
||||
<li><a href="#org55acbde">5. Chebyshev</a>
|
||||
<ul>
|
||||
<li><a href="#org04af1b5">5.1. Chebyshev Type I</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org214e83b">6. Complementary</a></li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-orgb268523" class="outline-2">
|
||||
<h2 id="orgb268523"><span class="section-number-2">1</span> Low Pass</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
</div>
|
||||
<div id="outline-container-orgc6f2664" class="outline-3">
|
||||
<h3 id="orgc6f2664"><span class="section-number-3">1.1</span> First Order</h3>
|
||||
<div class="outline-text-3" id="text-1-1">
|
||||
<p>
|
||||
\[ H(s) = \frac{1}{1 + s/\omega_0} \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
|
||||
H = <span class="org-highlight-numbers-number">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>w0<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgdd885c3" class="figure">
|
||||
<p><img src="figs/lpf_first_order.png" alt="lpf_first_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>First Order Low Pass Filter (<a href="./figs/lpf_first_order.png">png</a>, <a href="./figs/lpf_first_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-org9a99d55" class="outline-3">
|
||||
<h3 id="org9a99d55"><span class="section-number-3">1.2</span> Second Order</h3>
|
||||
<div class="outline-text-3" id="text-1-2">
|
||||
<p>
|
||||
\[ H(s) = \frac{1}{1 + 2 \xi / \omega_0 s + s^2/\omega_0^2} \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
xi = <span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">3</span>;
|
||||
|
||||
H = <span class="org-highlight-numbers-number">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> <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span>xi<span class="org-type">/</span>w0<span class="org-type">*</span>s <span class="org-type">+</span> s<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-type">/</span>w0<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org43d0a1a" class="figure">
|
||||
<p><img src="figs/lpf_second_order.png" alt="lpf_second_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Second Order Low Pass Filter (<a href="./figs/lpf_second_order.png">png</a>, <a href="./figs/lpf_second_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-org360c529" class="outline-3">
|
||||
<h3 id="org360c529"><span class="section-number-3">1.3</span> Combine multiple filters</h3>
|
||||
<div class="outline-text-3" id="text-1-3">
|
||||
<p>
|
||||
\[ H(s) = \left( \frac{1}{1 + s/\omega_0} \right)^n \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
n = <span class="org-highlight-numbers-number">3</span>;
|
||||
|
||||
H = <span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span> <span class="org-type">+</span> s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">^</span>n;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org63ca6d5" class="figure">
|
||||
<p><img src="figs/lpf_multiple_first_order.png" alt="lpf_multiple_first_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Combine Multiple First Order Low Pass Filter (<a href="./figs/lpf_multiple_first_order.png">png</a>, <a href="./figs/lpf_multiple_first_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-orgb54c74e" class="outline-2">
|
||||
<h2 id="orgb54c74e"><span class="section-number-2">2</span> High Pass</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
</div>
|
||||
<div id="outline-container-orgd3a001c" class="outline-3">
|
||||
<h3 id="orgd3a001c"><span class="section-number-3">2.1</span> First Order</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<p>
|
||||
\[ H(s) = \frac{s/\omega_0}{1 + s/\omega_0} \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
|
||||
H = <span class="org-rainbow-delimiters-depth-1">(</span>s<span class="org-type">/</span>w0<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>w0<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orga1cad81" class="figure">
|
||||
<p><img src="figs/hpf_first_order.png" alt="hpf_first_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>First Order High Pass Filter (<a href="./figs/hpf_first_order.png">png</a>, <a href="./figs/hpf_first_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-orgbb7602b" class="outline-3">
|
||||
<h3 id="orgbb7602b"><span class="section-number-3">2.2</span> Second Order</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<p>
|
||||
\[ H(s) = \frac{s^2/\omega_0^2}{1 + 2 \xi / \omega_0 s + s^2/\omega_0^2} \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
xi = <span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">3</span>;
|
||||
|
||||
H = <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>w0<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><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> <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span>xi<span class="org-type">/</span>w0<span class="org-type">*</span>s <span class="org-type">+</span> s<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-type">/</span>w0<span class="org-type">^</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org3189fd8" class="figure">
|
||||
<p><img src="figs/hpf_second_order.png" alt="hpf_second_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Second Order High Pass Filter (<a href="./figs/hpf_second_order.png">png</a>, <a href="./figs/hpf_second_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-org593e27b" class="outline-3">
|
||||
<h3 id="org593e27b"><span class="section-number-3">2.3</span> Combine multiple filters</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
\[ H(s) = \left( \frac{s/\omega_0}{1 + s/\omega_0} \right)^n \]
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">w0 = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% [rad/s]</span>
|
||||
n = <span class="org-highlight-numbers-number">3</span>;
|
||||
|
||||
H = <span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">(</span>s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">/</span><span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span> <span class="org-type">+</span> s<span class="org-type">/</span>w0<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">^</span>n;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org496a810" class="figure">
|
||||
<p><img src="figs/hpf_multiple_first_order.png" alt="hpf_multiple_first_order.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Combine Multiple First Order High Pass Filter (<a href="./figs/hpf_multiple_first_order.png">png</a>, <a href="./figs/hpf_multiple_first_order.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
|
||||
<div id="outline-container-org499bdf6" class="outline-2">
|
||||
<h2 id="org499bdf6"><span class="section-number-2">3</span> Band Pass</h2>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orge29baf7" class="outline-2">
|
||||
<h2 id="orge29baf7"><span class="section-number-2">4</span> Notch</h2>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org55acbde" class="outline-2">
|
||||
<h2 id="org55acbde"><span class="section-number-2">5</span> Chebyshev</h2>
|
||||
<div class="outline-text-2" id="text-5">
|
||||
</div>
|
||||
<div id="outline-container-org04af1b5" class="outline-3">
|
||||
<h3 id="org04af1b5"><span class="section-number-3">5.1</span> Chebyshev Type I</h3>
|
||||
<div class="outline-text-3" id="text-5-1">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">n = <span class="org-highlight-numbers-number">4</span>; <span class="org-comment">% Order of the filter</span>
|
||||
Rp = <span class="org-highlight-numbers-number">3</span>; <span class="org-comment">% Maximum peak-to-peak ripple [dB]</span>
|
||||
Wp = <span class="org-highlight-numbers-number">2</span><span class="org-type">*</span><span class="org-constant">pi</span>; <span class="org-comment">% passband-edge frequency [rad/s]</span>
|
||||
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>A,B,C,D<span class="org-rainbow-delimiters-depth-1">]</span> = cheby1<span class="org-rainbow-delimiters-depth-1">(</span>n, Rp, Wp, <span class="org-string">'high', 's'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
H = ss<span class="org-rainbow-delimiters-depth-1">(</span>A, B, C, D<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgad8bf8c" class="figure">
|
||||
<p><img src="figs/cheby1_hpf.png" alt="cheby1_hpf.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>First Order Low Pass Filter (<a href="./figs/cheby1_hpf.png">png</a>, <a href="./figs/cheby1_hpf.pdf">pdf</a>.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org214e83b" class="outline-2">
|
||||
<h2 id="org214e83b"><span class="section-number-2">6</span> Complementary</h2>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-08-15 jeu. 12:24</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
7
js/bootstrap.min.js
vendored
Normal file
4
js/jquery.min.js
vendored
Normal file
1
js/jquery.stickytableheaders.min.js
vendored
Normal file
@ -0,0 +1 @@
|
||||
!function(a,b){"use strict";function c(c,g){var h=this;h.$el=a(c),h.el=c,h.id=e++,h.$window=a(b),h.$document=a(document),h.$el.bind("destroyed",a.proxy(h.teardown,h)),h.$clonedHeader=null,h.$originalHeader=null,h.isSticky=!1,h.hasBeenSticky=!1,h.leftOffset=null,h.topOffset=null,h.init=function(){h.$el.each(function(){var b=a(this);b.css("padding",0),h.$originalHeader=a("thead:first",this),h.$clonedHeader=h.$originalHeader.clone(),b.trigger("clonedHeader."+d,[h.$clonedHeader]),h.$clonedHeader.addClass("tableFloatingHeader"),h.$clonedHeader.css("display","none"),h.$originalHeader.addClass("tableFloatingHeaderOriginal"),h.$originalHeader.after(h.$clonedHeader),h.$printStyle=a('<style type="text/css" media="print">.tableFloatingHeader{display:none !important;}.tableFloatingHeaderOriginal{position:static !important;}</style>'),a("head").append(h.$printStyle)}),h.setOptions(g),h.updateWidth(),h.toggleHeaders(),h.bind()},h.destroy=function(){h.$el.unbind("destroyed",h.teardown),h.teardown()},h.teardown=function(){h.isSticky&&h.$originalHeader.css("position","static"),a.removeData(h.el,"plugin_"+d),h.unbind(),h.$clonedHeader.remove(),h.$originalHeader.removeClass("tableFloatingHeaderOriginal"),h.$originalHeader.css("visibility","visible"),h.$printStyle.remove(),h.el=null,h.$el=null},h.bind=function(){h.$scrollableArea.on("scroll."+d,h.toggleHeaders),h.isWindowScrolling||(h.$window.on("scroll."+d+h.id,h.setPositionValues),h.$window.on("resize."+d+h.id,h.toggleHeaders)),h.$scrollableArea.on("resize."+d,h.toggleHeaders),h.$scrollableArea.on("resize."+d,h.updateWidth)},h.unbind=function(){h.$scrollableArea.off("."+d,h.toggleHeaders),h.isWindowScrolling||(h.$window.off("."+d+h.id,h.setPositionValues),h.$window.off("."+d+h.id,h.toggleHeaders)),h.$scrollableArea.off("."+d,h.updateWidth)},h.toggleHeaders=function(){h.$el&&h.$el.each(function(){var b,c=a(this),d=h.isWindowScrolling?isNaN(h.options.fixedOffset)?h.options.fixedOffset.outerHeight():h.options.fixedOffset:h.$scrollableArea.offset().top+(isNaN(h.options.fixedOffset)?0:h.options.fixedOffset),e=c.offset(),f=h.$scrollableArea.scrollTop()+d,g=h.$scrollableArea.scrollLeft(),i=h.isWindowScrolling?f>e.top:d>e.top,j=(h.isWindowScrolling?f:0)<e.top+c.height()-h.$clonedHeader.height()-(h.isWindowScrolling?0:d);i&&j?(b=e.left-g+h.options.leftOffset,h.$originalHeader.css({position:"fixed","margin-top":h.options.marginTop,left:b,"z-index":3}),h.leftOffset=b,h.topOffset=d,h.$clonedHeader.css("display",""),h.isSticky||(h.isSticky=!0,h.updateWidth()),h.setPositionValues()):h.isSticky&&(h.$originalHeader.css("position","static"),h.$clonedHeader.css("display","none"),h.isSticky=!1,h.resetWidth(a("td,th",h.$clonedHeader),a("td,th",h.$originalHeader)))})},h.setPositionValues=function(){var a=h.$window.scrollTop(),b=h.$window.scrollLeft();!h.isSticky||0>a||a+h.$window.height()>h.$document.height()||0>b||b+h.$window.width()>h.$document.width()||h.$originalHeader.css({top:h.topOffset-(h.isWindowScrolling?0:a),left:h.leftOffset-(h.isWindowScrolling?0:b)})},h.updateWidth=function(){if(h.isSticky){h.$originalHeaderCells||(h.$originalHeaderCells=a("th,td",h.$originalHeader)),h.$clonedHeaderCells||(h.$clonedHeaderCells=a("th,td",h.$clonedHeader));var b=h.getWidth(h.$clonedHeaderCells);h.setWidth(b,h.$clonedHeaderCells,h.$originalHeaderCells),h.$originalHeader.css("width",h.$clonedHeader.width())}},h.getWidth=function(c){var d=[];return c.each(function(c){var e,f=a(this);if("border-box"===f.css("box-sizing"))e=f[0].getBoundingClientRect().width;else{var g=a("th",h.$originalHeader);if("collapse"===g.css("border-collapse"))if(b.getComputedStyle)e=parseFloat(b.getComputedStyle(this,null).width);else{var i=parseFloat(f.css("padding-left")),j=parseFloat(f.css("padding-right")),k=parseFloat(f.css("border-width"));e=f.outerWidth()-i-j-k}else e=f.width()}d[c]=e}),d},h.setWidth=function(a,b,c){b.each(function(b){var d=a[b];c.eq(b).css({"min-width":d,"max-width":d})})},h.resetWidth=function(b,c){b.each(function(b){var d=a(this);c.eq(b).css({"min-width":d.css("min-width"),"max-width":d.css("max-width")})})},h.setOptions=function(c){h.options=a.extend({},f,c),h.$scrollableArea=a(h.options.scrollableArea),h.isWindowScrolling=h.$scrollableArea[0]===b},h.updateOptions=function(a){h.setOptions(a),h.unbind(),h.bind(),h.updateWidth(),h.toggleHeaders()},h.init()}var d="stickyTableHeaders",e=0,f={fixedOffset:0,leftOffset:0,marginTop:0,scrollableArea:b};a.fn[d]=function(b){return this.each(function(){var e=a.data(this,"plugin_"+d);e?"string"==typeof b?e[b].apply(e):e.updateOptions(b):"destroy"!==b&&a.data(this,"plugin_"+d,new c(this,b))})}}(jQuery,window);
|
85
js/readtheorg.js
Normal file
@ -0,0 +1,85 @@
|
||||
$(function() {
|
||||
$('.note').before("<p class='admonition-title note'>Note</p>");
|
||||
$('.seealso').before("<p class='admonition-title seealso'>See also</p>");
|
||||
$('.warning').before("<p class='admonition-title warning'>Warning</p>");
|
||||
$('.caution').before("<p class='admonition-title caution'>Caution</p>");
|
||||
$('.attention').before("<p class='admonition-title attention'>Attention</p>");
|
||||
$('.tip').before("<p class='admonition-title tip'>Tip</p>");
|
||||
$('.important').before("<p class='admonition-title important'>Important</p>");
|
||||
$('.hint').before("<p class='admonition-title hint'>Hint</p>");
|
||||
$('.error').before("<p class='admonition-title error'>Error</p>");
|
||||
$('.danger').before("<p class='admonition-title danger'>Danger</p>");
|
||||
});
|
||||
|
||||
$( document ).ready(function() {
|
||||
|
||||
// Shift nav in mobile when clicking the menu.
|
||||
$(document).on('click', "[data-toggle='wy-nav-top']", function() {
|
||||
$("[data-toggle='wy-nav-shift']").toggleClass("shift");
|
||||
$("[data-toggle='rst-versions']").toggleClass("shift");
|
||||
});
|
||||
// Close menu when you click a link.
|
||||
$(document).on('click', ".wy-menu-vertical .current ul li a", function() {
|
||||
$("[data-toggle='wy-nav-shift']").removeClass("shift");
|
||||
$("[data-toggle='rst-versions']").toggleClass("shift");
|
||||
});
|
||||
$(document).on('click', "[data-toggle='rst-current-version']", function() {
|
||||
$("[data-toggle='rst-versions']").toggleClass("shift-up");
|
||||
});
|
||||
// Make tables responsive
|
||||
$("table.docutils:not(.field-list)").wrap("<div class='wy-table-responsive'></div>");
|
||||
});
|
||||
|
||||
$( document ).ready(function() {
|
||||
$('#text-table-of-contents ul').first().addClass('nav');
|
||||
// ScrollSpy also requires that we use
|
||||
// a Bootstrap nav component.
|
||||
$('body').scrollspy({target: '#text-table-of-contents'});
|
||||
|
||||
// add sticky table headers
|
||||
$('table').stickyTableHeaders();
|
||||
|
||||
// set the height of tableOfContents
|
||||
var $postamble = $('#postamble');
|
||||
var $tableOfContents = $('#table-of-contents');
|
||||
$tableOfContents.css({paddingBottom: $postamble.outerHeight()});
|
||||
|
||||
// add TOC button
|
||||
var toggleSidebar = $('<div id="toggle-sidebar"><a href="#table-of-contents"><h2>Table of Contents</h2></a></div>');
|
||||
$('#content').prepend(toggleSidebar);
|
||||
|
||||
// add close button when sidebar showed in mobile screen
|
||||
var closeBtn = $('<a class="close-sidebar" href="#">Close</a>');
|
||||
var tocTitle = $('#table-of-contents').find('h2');
|
||||
tocTitle.append(closeBtn);
|
||||
});
|
||||
|
||||
window.SphinxRtdTheme = (function (jquery) {
|
||||
var stickyNav = (function () {
|
||||
var navBar,
|
||||
win,
|
||||
stickyNavCssClass = 'stickynav',
|
||||
applyStickNav = function () {
|
||||
if (navBar.height() <= win.height()) {
|
||||
navBar.addClass(stickyNavCssClass);
|
||||
} else {
|
||||
navBar.removeClass(stickyNavCssClass);
|
||||
}
|
||||
},
|
||||
enable = function () {
|
||||
applyStickNav();
|
||||
win.on('resize', applyStickNav);
|
||||
},
|
||||
init = function () {
|
||||
navBar = jquery('nav.wy-nav-side:first');
|
||||
win = jquery(window);
|
||||
};
|
||||
jquery(init);
|
||||
return {
|
||||
enable : enable
|
||||
};
|
||||
}());
|
||||
return {
|
||||
StickyNav : stickyNav
|
||||
};
|
||||
}($));
|