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+++ b/CMSIS/Documentation/DSP/html/group___c_f_f_t___c_i_f_f_t.html
@@ -0,0 +1,800 @@
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+<title>Complex FFT Tables</title>
+<title>CMSIS-DSP: Complex FFT Tables</title>
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+ <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+ <td style="padding-left: 0.5em;">
+ <div id="projectname">CMSIS-DSP
+ &#160;<span id="projectnumber">Version 1.4.7</span>
+ </div>
+ <div id="projectbrief">CMSIS DSP Software Library</div>
+ </td>
+ </tr>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
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+<a href="#var-members">Variables</a> </div>
+ <div class="headertitle">
+<div class="title">Complex FFT Tables</div> </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
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+<tr class="memitem:ga6152621af210f847128c6f38958fa385"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6152621af210f847128c6f38958fa385">twiddleCoef_512_q15</a> [768]</td></tr>
+<tr class="separator:ga6152621af210f847128c6f38958fa385"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8a0ec95d866fe96b740e77d6e1356b59"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8a0ec95d866fe96b740e77d6e1356b59">twiddleCoef_1024_q15</a> [1536]</td></tr>
+<tr class="separator:ga8a0ec95d866fe96b740e77d6e1356b59"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadd16ce08ffd1048c385e0534a3b19cbb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gadd16ce08ffd1048c385e0534a3b19cbb">twiddleCoef_2048_q15</a> [3072]</td></tr>
+<tr class="separator:gadd16ce08ffd1048c385e0534a3b19cbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9b409d6995eab17805b1d1881d4bc652"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">twiddleCoef_4096_q15</a> [6144]</td></tr>
+<tr class="separator:ga9b409d6995eab17805b1d1881d4bc652"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="gae247e83ad50d474107254e25b36ad42b"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const uint16_t armBitRevTable[1024]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Pseudo code for Generation of Bit reversal Table is </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(l=1;l &lt;= N/4;l++)
+{
+ for(i=0;i&lt;logN2;i++)
+ {
+ a[i]=l&amp;(1&lt;&lt;i);
+ }
+ for(j=0; j&lt;logN2; j++)
+ {
+ if (a[j]!=0)
+ y[l]+=(1&lt;&lt;((logN2-1)-j));
+ }
+ y[l] = y[l] &gt;&gt; 1;
+ } </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 logN2 = 12 </dd></dl>
+<dl class="section user"><dt></dt><dd>N is the maximum FFT Size supported </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga27c056eb130a4333d1cc5dd43ec738b1"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_1024[2048]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8a0ec95d866fe96b740e77d6e1356b59"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_1024_q15[1536]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga514443c44b62b8b3d240afefebcda310"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_1024_q31[1536]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga948433536dafaac1381decfccf4e2d9c"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_128[256]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabfdd1c5cd2b3f96da5fe5f07c707a8e5"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_128_q15[192]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafecf9ed9873415d9f5f17f37b30c7250"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_128_q31[192]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae75e243ec61706427314270f222e0c8e"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_16[32]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8e4e2e05f4a3112184c96cb3308d6c39"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_16_q15[24]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaef4697e1ba348c4ac9358f2b9e279e93"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_16_q31[24]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga23e7f30421a7905b21c2015429779633"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_2048[4096]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadd16ce08ffd1048c385e0534a3b19cbb"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_2048_q15[3072]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9c5767de9f5a409fd0c2027e6ac67179"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_2048_q31[3072]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafe813758a03a798e972359a092315be4"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_256[512]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6099ae5262a0a3a8d9ce1e6da02f0c2e"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_256_q15[384]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaef1ea005053b715b851cf5f908168ede"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_256_q31[384]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga78a72c85d88185de98050c930cfc76e3"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_32[64]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac194a4fe04a19051ae1811f69c6e5df2"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_32_q15[48]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga8ba78d5e6ef4bdc58e8f0044e0664a0a"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_32_q31[48]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae0182d1dd3b2f21aad4e38a815a0bd40"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_4096[8192]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9b409d6995eab17805b1d1881d4bc652"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_4096_q15[6144]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga67c0890317deab3391e276f22c1fc400"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_4096_q31[6144]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad8830f0c068ab2cc19f2f87d220fa148"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_512[1024]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6152621af210f847128c6f38958fa385"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_512_q15[768]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga416c61b2f08542a39111e06b0378bebe"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_512_q31[768]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga4f3c6d98c7e66393b4ef3ac63746e43d"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_64[128]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)
+{
+ twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa0cc411e0b3c82078e85cfdf1b84290f"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_64_q15[96]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga6e0a7e941a25a0d74b2e6590307de47e"></a>
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_64_q31[96]</td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)
+{
+ twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+ twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+ <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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