425 lines
22 KiB
HTML
425 lines
22 KiB
HTML
|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
||
|
|
<head>
|
||
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
||
|
|
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
|
||
|
|
<meta name="generator" content="Doxygen 1.9.1"/>
|
||
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
||
|
|
<title>RTOS_MSPM0: Math</title>
|
||
|
|
<link href="tabs.css" rel="stylesheet" type="text/css"/>
|
||
|
|
<script type="text/javascript" src="jquery.js"></script>
|
||
|
|
<script type="text/javascript" src="dynsections.js"></script>
|
||
|
|
<link href="search/search.css" rel="stylesheet" type="text/css"/>
|
||
|
|
<script type="text/javascript" src="search/searchdata.js"></script>
|
||
|
|
<script type="text/javascript" src="search/search.js"></script>
|
||
|
|
<link href="doxygen.css" rel="stylesheet" type="text/css" />
|
||
|
|
</head>
|
||
|
|
<body>
|
||
|
|
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
||
|
|
<div id="titlearea">
|
||
|
|
<table cellspacing="0" cellpadding="0">
|
||
|
|
<tbody>
|
||
|
|
<tr style="height: 56px;">
|
||
|
|
<td id="projectlogo"><img alt="Logo" src="RobotSensors.png"/></td>
|
||
|
|
<td id="projectalign" style="padding-left: 0.5em;">
|
||
|
|
<div id="projectname">RTOS_MSPM0
|
||
|
|
 <span id="projectnumber">1.1</span>
|
||
|
|
</div>
|
||
|
|
<div id="projectbrief">ECE445M starter code</div>
|
||
|
|
</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
</div>
|
||
|
|
<!-- end header part -->
|
||
|
|
<!-- Generated by Doxygen 1.9.1 -->
|
||
|
|
<script type="text/javascript">
|
||
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
||
|
|
var searchBox = new SearchBox("searchBox", "search",false,'Search','.html');
|
||
|
|
/* @license-end */
|
||
|
|
</script>
|
||
|
|
<script type="text/javascript" src="menudata.js"></script>
|
||
|
|
<script type="text/javascript" src="menu.js"></script>
|
||
|
|
<script type="text/javascript">
|
||
|
|
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */
|
||
|
|
$(function() {
|
||
|
|
initMenu('',true,false,'search.php','Search');
|
||
|
|
$(document).ready(function() { init_search(); });
|
||
|
|
});
|
||
|
|
/* @license-end */</script>
|
||
|
|
<div id="main-nav"></div>
|
||
|
|
</div><!-- top -->
|
||
|
|
<!-- window showing the filter options -->
|
||
|
|
<div id="MSearchSelectWindow"
|
||
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
||
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
||
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
||
|
|
</div>
|
||
|
|
|
||
|
|
<!-- iframe showing the search results (closed by default) -->
|
||
|
|
<div id="MSearchResultsWindow">
|
||
|
|
<iframe src="javascript:void(0)" frameborder="0"
|
||
|
|
name="MSearchResults" id="MSearchResults">
|
||
|
|
</iframe>
|
||
|
|
</div>
|
||
|
|
|
||
|
|
<div class="header">
|
||
|
|
<div class="summary">
|
||
|
|
<a href="#nested-classes">Data Structures</a> |
|
||
|
|
<a href="#define-members">Macros</a> |
|
||
|
|
<a href="#typedef-members">Typedefs</a> |
|
||
|
|
<a href="#func-members">Functions</a> |
|
||
|
|
<a href="#var-members">Variables</a> </div>
|
||
|
|
<div class="headertitle">
|
||
|
|
<div class="title">Math</div> </div>
|
||
|
|
</div><!--header-->
|
||
|
|
<div class="contents">
|
||
|
|
<table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
|
||
|
|
Data Structures</h2></td></tr>
|
||
|
|
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structcomplex.html">complex</a></td></tr>
|
||
|
|
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">a complex number has a real and imaginary part <a href="structcomplex.html#details">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table><table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
|
||
|
|
Macros</h2></td></tr>
|
||
|
|
<tr class="memitem:ga598a3330b3c21701223ee0ca14316eca"><td class="memItemLeft" align="right" valign="top"><a id="ga598a3330b3c21701223ee0ca14316eca"></a>
|
||
|
|
#define </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga598a3330b3c21701223ee0ca14316eca">PI</a>   3.14159265358979323846264338327950288</td></tr>
|
||
|
|
<tr class="memdesc:ga598a3330b3c21701223ee0ca14316eca"><td class="mdescLeft"> </td><td class="mdescRight">PI is ratio of circumference to diameter of a circle. <br /></td></tr>
|
||
|
|
<tr class="separator:ga598a3330b3c21701223ee0ca14316eca"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table><table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
|
||
|
|
Typedefs</h2></td></tr>
|
||
|
|
<tr class="memitem:ga65a78ae0ccb51b7f003f6a694247cd78"><td class="memItemLeft" align="right" valign="top"><a id="ga65a78ae0ccb51b7f003f6a694247cd78"></a>
|
||
|
|
typedef struct <a class="el" href="structcomplex.html">complex</a> </td><td class="memItemRight" valign="bottom"><b>complex_t</b></td></tr>
|
||
|
|
<tr class="separator:ga65a78ae0ccb51b7f003f6a694247cd78"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table><table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
|
||
|
|
Functions</h2></td></tr>
|
||
|
|
<tr class="memitem:ga7e6991842a107b203a304c191d574591"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga7e6991842a107b203a304c191d574591">fft</a> (<a class="el" href="structcomplex.html">complex_t</a> *v, int n, <a class="el" href="structcomplex.html">complex_t</a> *tmp)</td></tr>
|
||
|
|
<tr class="memdesc:ga7e6991842a107b203a304c191d574591"><td class="mdescLeft"> </td><td class="mdescRight">fft <a href="group___math.html#ga7e6991842a107b203a304c191d574591">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga7e6991842a107b203a304c191d574591"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a">ifft</a> (<a class="el" href="structcomplex.html">complex_t</a> *v, int n, <a class="el" href="structcomplex.html">complex_t</a> *tmp)</td></tr>
|
||
|
|
<tr class="memdesc:ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a"><td class="mdescLeft"> </td><td class="mdescRight">Inverse fft. <a href="group___math.html#ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga585d66cf23f64b1e470007ddd099e35e"><td class="memItemLeft" align="right" valign="top">int16_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga585d66cf23f64b1e470007ddd099e35e">fixed_sin</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga585d66cf23f64b1e470007ddd099e35e"><td class="mdescLeft"> </td><td class="mdescRight">decimal fixed-point sin <a href="group___math.html#ga585d66cf23f64b1e470007ddd099e35e">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga585d66cf23f64b1e470007ddd099e35e"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga93731bdd1474e8414ecfbbb6c3bf4ae1"><td class="memItemLeft" align="right" valign="top">int16_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga93731bdd1474e8414ecfbbb6c3bf4ae1">fixed_cos</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga93731bdd1474e8414ecfbbb6c3bf4ae1"><td class="mdescLeft"> </td><td class="mdescRight">decimal fixed-point cos <a href="group___math.html#ga93731bdd1474e8414ecfbbb6c3bf4ae1">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga93731bdd1474e8414ecfbbb6c3bf4ae1"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga4e056d1c21233a9777eb87c2552b1440"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga4e056d1c21233a9777eb87c2552b1440">fixed_sin2</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga4e056d1c21233a9777eb87c2552b1440"><td class="mdescLeft"> </td><td class="mdescRight">binary fixed-point sin <a href="group___math.html#ga4e056d1c21233a9777eb87c2552b1440">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga4e056d1c21233a9777eb87c2552b1440"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga5b1395587dae647ecf1be2beb57aa6ed"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga5b1395587dae647ecf1be2beb57aa6ed">fixed_cos2</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga5b1395587dae647ecf1be2beb57aa6ed"><td class="mdescLeft"> </td><td class="mdescRight">binary fixed-point cos <a href="group___math.html#ga5b1395587dae647ecf1be2beb57aa6ed">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga5b1395587dae647ecf1be2beb57aa6ed"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga4e2009102d0749ecec8a93cd263f0c3c"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga4e2009102d0749ecec8a93cd263f0c3c">sin540</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga4e2009102d0749ecec8a93cd263f0c3c"><td class="mdescLeft"> </td><td class="mdescRight">binary fixed-point sin <a href="group___math.html#ga4e2009102d0749ecec8a93cd263f0c3c">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga4e2009102d0749ecec8a93cd263f0c3c"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga9903bb2faf00cf90b2d3232689cfa82b"><td class="memItemLeft" align="right" valign="top">int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group___math.html#ga9903bb2faf00cf90b2d3232689cfa82b">cos540</a> (int32_t theta)</td></tr>
|
||
|
|
<tr class="memdesc:ga9903bb2faf00cf90b2d3232689cfa82b"><td class="mdescLeft"> </td><td class="mdescRight">binary fixed-point cos <a href="group___math.html#ga9903bb2faf00cf90b2d3232689cfa82b">More...</a><br /></td></tr>
|
||
|
|
<tr class="separator:ga9903bb2faf00cf90b2d3232689cfa82b"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table><table class="memberdecls">
|
||
|
|
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
|
||
|
|
Variables</h2></td></tr>
|
||
|
|
<tr class="memitem:ga8755cf135ce704805fef59f18c728429"><td class="memItemLeft" align="right" valign="top"><a id="ga8755cf135ce704805fef59f18c728429"></a>
|
||
|
|
float </td><td class="memItemRight" valign="bottom"><b>Real</b></td></tr>
|
||
|
|
<tr class="separator:ga8755cf135ce704805fef59f18c728429"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
<tr class="memitem:ga4e2706cb17d83588e611d84956be34ae"><td class="memItemLeft" align="right" valign="top"><a id="ga4e2706cb17d83588e611d84956be34ae"></a>
|
||
|
|
float </td><td class="memItemRight" valign="bottom"><b>Imag</b></td></tr>
|
||
|
|
<tr class="separator:ga4e2706cb17d83588e611d84956be34ae"><td class="memSeparator" colspan="2"> </td></tr>
|
||
|
|
</table>
|
||
|
|
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||
|
|
<h2 class="groupheader">Function Documentation</h2>
|
||
|
|
<a id="ga9903bb2faf00cf90b2d3232689cfa82b"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga9903bb2faf00cf90b2d3232689cfa82b">◆ </a></span>cos540()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int32_t cos540 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>binary fixed-point cos </p>
|
||
|
|
<p>binaryfixed-point cos**************** </p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>0 to 539, angle is in units 2*pi/540 = 0.011635528 radians (0 to 2pi) </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-65536 to +65536, fixed point resolution 1/65536 </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>input theta=4096 means 90 degrees (pi/2 radians) </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga7e6991842a107b203a304c191d574591"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga7e6991842a107b203a304c191d574591">◆ </a></span>fft()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">void fft </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype"><a class="el" href="structcomplex.html">complex_t</a> * </td>
|
||
|
|
<td class="paramname"><em>v</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype">int </td>
|
||
|
|
<td class="paramname"><em>n</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="structcomplex.html">complex_t</a> * </td>
|
||
|
|
<td class="paramname"><em>tmp</em> </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td></td>
|
||
|
|
<td>)</td>
|
||
|
|
<td></td><td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>fft </p>
|
||
|
|
<p>discrete Fast Fourier Transform, Converts time to frequency domain <br />
|
||
|
|
Assume the input is real data sampled at fs <br />
|
||
|
|
Place n measurements into the real part of array v <br />
|
||
|
|
Set the imaginary part of array v to 0 <br />
|
||
|
|
Call <a class="el" href="group___math.html#ga7e6991842a107b203a304c191d574591" title="fft">fft()</a> and the results are returned back in array v <br />
|
||
|
|
If the input is real only, then the transform will contain <br />
|
||
|
|
Index 0 <= k < n/2 complex components of frequency f=k/fs <br />
|
||
|
|
E.g., k=0 represents the DC component of the input <br />
|
||
|
|
Index n/2 <= k < n are complex conjugates of the first half <br />
|
||
|
|
</p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">v</td><td>array of input data in complex form </td></tr>
|
||
|
|
<tr><td class="paramname">n</td><td>size of the two arrays 2, 4, 8, ..., 2048 </td></tr>
|
||
|
|
<tr><td class="paramname">tmp</td><td>temporary array of data in complex form </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>n is a power of two from 2 to 2048 </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga93731bdd1474e8414ecfbbb6c3bf4ae1"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga93731bdd1474e8414ecfbbb6c3bf4ae1">◆ </a></span>fixed_cos()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int16_t fixed_cos </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>decimal fixed-point cos </p>
|
||
|
|
<p>decimal fixed-point cos**************** </p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>-3142 to 3142, angle is in units radians/1000 </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-10000 to +10000, fixed point resolution 1/10000 </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>input theta=-1571 means 90 degrees (pi/2 radians) </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga5b1395587dae647ecf1be2beb57aa6ed"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga5b1395587dae647ecf1be2beb57aa6ed">◆ </a></span>fixed_cos2()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int32_t fixed_cos2 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>binary fixed-point cos </p>
|
||
|
|
<p>binaryfixed-point cos**************** </p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>-8192 to 8191, angle is in units 2*pi/16384 radians (-pi to +pi) </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-65536 to +65536, fixed point resolution 1/65536 </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>input theta=4096 means 90 degrees (pi/2 radians) </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga585d66cf23f64b1e470007ddd099e35e"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga585d66cf23f64b1e470007ddd099e35e">◆ </a></span>fixed_sin()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int16_t fixed_sin </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>decimal fixed-point sin </p>
|
||
|
|
<p>decimal fixed-point sin**************** </p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>-3142 to 3142, angle is in units radians/1000 </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-10000 to +10000, fixed point resolution 1/10000 </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>input theta=1571 means 90 degrees (pi/2 radians) </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga4e056d1c21233a9777eb87c2552b1440"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga4e056d1c21233a9777eb87c2552b1440">◆ </a></span>fixed_sin2()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int32_t fixed_sin2 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>binary fixed-point sin </p>
|
||
|
|
<p>binary fixed-point sin**************** </p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>-8192 to 8191, angle is in units 2*pi/16384 radians (-pi to +pi) </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-65536 to +65536, fixed point resolution 1/65536 </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>input theta=-4096 means -90 degrees (pi/2 radians) </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a">◆ </a></span>ifft()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">void ifft </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype"><a class="el" href="structcomplex.html">complex_t</a> * </td>
|
||
|
|
<td class="paramname"><em>v</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype">int </td>
|
||
|
|
<td class="paramname"><em>n</em>, </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td class="paramkey"></td>
|
||
|
|
<td></td>
|
||
|
|
<td class="paramtype"><a class="el" href="structcomplex.html">complex_t</a> * </td>
|
||
|
|
<td class="paramname"><em>tmp</em> </td>
|
||
|
|
</tr>
|
||
|
|
<tr>
|
||
|
|
<td></td>
|
||
|
|
<td>)</td>
|
||
|
|
<td></td><td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>Inverse fft. </p>
|
||
|
|
<p>discrete Inverse Fast Fourier Transform, Converts frequency to time domain <br />
|
||
|
|
Assume the input is complex data with components k=0 to n-1 <br />
|
||
|
|
Index 0 <= k < n-1 complex components of frequency f=k/fs <br />
|
||
|
|
E.g., k=0 represents the DC component of the input <br />
|
||
|
|
Place n complex values into the array v <br />
|
||
|
|
Typically the index n/2 <= k < n are complex conjugates of the first half<br />
|
||
|
|
Call <a class="el" href="group___math.html#ga4ad1f9b6c8ed4f2fdb439e795c3c0e3a" title="Inverse fft.">ifft()</a> and the results are returned back in array v <br />
|
||
|
|
If the input is real only, then the transform will contain <br />
|
||
|
|
</p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">v</td><td>array of input data in complex form </td></tr>
|
||
|
|
<tr><td class="paramname">n</td><td>size of the two arrays 2, 4, 8, ..., 2048 </td></tr>
|
||
|
|
<tr><td class="paramname">tmp</td><td>temporary array of data in complex form </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
|
||
|
|
<dl class="section note"><dt>Note</dt><dd>n is a power of two from 2 to 2048 </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
<a id="ga4e2009102d0749ecec8a93cd263f0c3c"></a>
|
||
|
|
<h2 class="memtitle"><span class="permalink"><a href="#ga4e2009102d0749ecec8a93cd263f0c3c">◆ </a></span>sin540()</h2>
|
||
|
|
|
||
|
|
<div class="memitem">
|
||
|
|
<div class="memproto">
|
||
|
|
<table class="memname">
|
||
|
|
<tr>
|
||
|
|
<td class="memname">int32_t sin540 </td>
|
||
|
|
<td>(</td>
|
||
|
|
<td class="paramtype">int32_t </td>
|
||
|
|
<td class="paramname"><em>theta</em></td><td>)</td>
|
||
|
|
<td></td>
|
||
|
|
</tr>
|
||
|
|
</table>
|
||
|
|
</div><div class="memdoc">
|
||
|
|
|
||
|
|
<p>binary fixed-point sin </p>
|
||
|
|
<p>binary fixed-point sin****************<br />
|
||
|
|
e.g., 359.3degrees (2pi radians) theta=539 sin540(539) = -763 (-0.0116)<br />
|
||
|
|
e.g., 270 degrees (3pi/4 radians) theta=405 sin540(405) = -65536 (-1)<br />
|
||
|
|
e.g., 180 degrees (pi radians) theta=270 sin540(270) = 0 (0)<br />
|
||
|
|
e.g., 90 degrees (pi/2 radians) theta=135 sin540(135) = 65536 (+1)<br />
|
||
|
|
e.g., 45 degrees (pi/4 radians) theta= 67 sin540(67) = 46071 (sqrt(2)/2)<br />
|
||
|
|
e.g., 0 degrees (0 radians) theta= 0 sin540(0) = 0 (0)<br />
|
||
|
|
</p><dl class="params"><dt>Parameters</dt><dd>
|
||
|
|
<table class="params">
|
||
|
|
<tr><td class="paramname">theta</td><td>0 to 539, angle is in units 2*pi/540 = 0.011635528 radians (0 to 2pi) </td></tr>
|
||
|
|
</table>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
<dl class="section return"><dt>Returns</dt><dd>-65536 to +65536, fixed point resolution 1/65536 </dd></dl>
|
||
|
|
|
||
|
|
</div>
|
||
|
|
</div>
|
||
|
|
</div><!-- contents -->
|
||
|
|
<!-- start footer part -->
|
||
|
|
<hr class="footer"/><address class="footer"><small>
|
||
|
|
Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1
|
||
|
|
</small></address>
|
||
|
|
</body>
|
||
|
|
</html>
|