group__cmplx__dot__prod.html 18 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325
  1. <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
  2. <html xmlns="http://www.w3.org/1999/xhtml">
  3. <head>
  4. <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
  5. <meta http-equiv="X-UA-Compatible" content="IE=9"/>
  6. <title>CMSIS-DSP: Complex Dot Product</title>
  7. <link href="tabs.css" rel="stylesheet" type="text/css"/>
  8. <link href="cmsis.css" rel="stylesheet" type="text/css" />
  9. <script type="text/javascript" src="jquery.js"></script>
  10. <script type="text/javascript" src="dynsections.js"></script>
  11. <link href="navtree.css" rel="stylesheet" type="text/css"/>
  12. <script type="text/javascript" src="resize.js"></script>
  13. <script type="text/javascript" src="navtree.js"></script>
  14. <script type="text/javascript">
  15. $(document).ready(initResizable);
  16. </script>
  17. <link href="search/search.css" rel="stylesheet" type="text/css"/>
  18. <script type="text/javascript" src="search/search.js"></script>
  19. <script type="text/javascript">
  20. $(document).ready(function() { searchBox.OnSelectItem(0); });
  21. </script>
  22. <link href="stylsheetf" rel="stylesheet" type="text/css" />
  23. </head>
  24. <body>
  25. <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
  26. <div id="titlearea">
  27. <table cellspacing="0" cellpadding="0">
  28. <tbody>
  29. <tr style="height: 46px;">
  30. <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
  31. <td style="padding-left: 0.5em;">
  32. <div id="projectname">CMSIS-DSP
  33. &#160;<span id="projectnumber">Version 1.4.4</span>
  34. </div>
  35. <div id="projectbrief">CMSIS DSP Software Library</div>
  36. </td>
  37. </tr>
  38. </tbody>
  39. </table>
  40. </div>
  41. <!-- end header part -->
  42. <div id="CMSISnav" class="tabs1">
  43. <ul class="tablist">
  44. <li><a href="../../General/html/index.html"><span>CMSIS</span></a></li>
  45. <li><a href="../../Core/html/index.html"><span>CORE</span></a></li>
  46. <li><a href="../../Driver/html/index.html"><span>Driver</span></a></li>
  47. <li class="current"><a href="../../DSP/html/index.html"><span>DSP</span></a></li>
  48. <li><a href="../../RTOS/html/index.html"><span>RTOS API</span></a></li>
  49. <li><a href="../../Pack/html/index.html"><span>Pack</span></a></li>
  50. <li><a href="../../SVD/html/index.html"><span>SVD</span></a></li>
  51. </ul>
  52. </div>
  53. <!-- Generated by Doxygen 1.8.2 -->
  54. <script type="text/javascript">
  55. var searchBox = new SearchBox("searchBox", "search",false,'Search');
  56. </script>
  57. <div id="navrow1" class="tabs">
  58. <ul class="tablist">
  59. <li><a href="index.html"><span>Main&#160;Page</span></a></li>
  60. <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
  61. <li><a href="modules.html"><span>Reference</span></a></li>
  62. <li>
  63. <div id="MSearchBox" class="MSearchBoxInactive">
  64. <span class="left">
  65. <img id="MSearchSelect" src="search/mag_sel.png"
  66. onmouseover="return searchBox.OnSearchSelectShow()"
  67. onmouseout="return searchBox.OnSearchSelectHide()"
  68. alt=""/>
  69. <input type="text" id="MSearchField" value="Search" accesskey="S"
  70. onfocus="searchBox.OnSearchFieldFocus(true)"
  71. onblur="searchBox.OnSearchFieldFocus(false)"
  72. onkeyup="searchBox.OnSearchFieldChange(event)"/>
  73. </span><span class="right">
  74. <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
  75. </span>
  76. </div>
  77. </li>
  78. </ul>
  79. </div>
  80. </div><!-- top -->
  81. <div id="side-nav" class="ui-resizable side-nav-resizable">
  82. <div id="nav-tree">
  83. <div id="nav-tree-contents">
  84. <div id="nav-sync" class="sync"></div>
  85. </div>
  86. </div>
  87. <div id="splitbar" style="-moz-user-select:none;"
  88. class="ui-resizable-handle">
  89. </div>
  90. </div>
  91. <script type="text/javascript">
  92. $(document).ready(function(){initNavTree('group__cmplx__dot__prod.html','');});
  93. </script>
  94. <div id="doc-content">
  95. <!-- window showing the filter options -->
  96. <div id="MSearchSelectWindow"
  97. onmouseover="return searchBox.OnSearchSelectShow()"
  98. onmouseout="return searchBox.OnSearchSelectHide()"
  99. onkeydown="return searchBox.OnSearchSelectKey(event)">
  100. <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>
  101. <!-- iframe showing the search results (closed by default) -->
  102. <div id="MSearchResultsWindow">
  103. <iframe src="javascript:void(0)" frameborder="0"
  104. name="MSearchResults" id="MSearchResults">
  105. </iframe>
  106. </div>
  107. <div class="header">
  108. <div class="summary">
  109. <a href="#func-members">Functions</a> </div>
  110. <div class="headertitle">
  111. <div class="title">Complex Dot Product</div> </div>
  112. <div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
  113. <div class="contents">
  114. <table class="memberdecls">
  115. <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
  116. Functions</h2></td></tr>
  117. <tr class="memitem:gadcfaf567a25eb641da4043eafb9bb076"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#gadcfaf567a25eb641da4043eafb9bb076">arm_cmplx_dot_prod_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *realResult, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *imagResult)</td></tr>
  118. <tr class="memdesc:gadcfaf567a25eb641da4043eafb9bb076"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex dot product. <a href="#gadcfaf567a25eb641da4043eafb9bb076"></a><br/></td></tr>
  119. <tr class="separator:gadcfaf567a25eb641da4043eafb9bb076"><td class="memSeparator" colspan="2">&#160;</td></tr>
  120. <tr class="memitem:ga2b08b5e8001d2c15204639d00893fc70"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#ga2b08b5e8001d2c15204639d00893fc70">arm_cmplx_dot_prod_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *realResult, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *imagResult)</td></tr>
  121. <tr class="memdesc:ga2b08b5e8001d2c15204639d00893fc70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex dot product. <a href="#ga2b08b5e8001d2c15204639d00893fc70"></a><br/></td></tr>
  122. <tr class="separator:ga2b08b5e8001d2c15204639d00893fc70"><td class="memSeparator" colspan="2">&#160;</td></tr>
  123. <tr class="memitem:ga5b731a59db062a9ad84562ef68a6c8af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#ga5b731a59db062a9ad84562ef68a6c8af">arm_cmplx_dot_prod_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *realResult, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *imagResult)</td></tr>
  124. <tr class="memdesc:ga5b731a59db062a9ad84562ef68a6c8af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex dot product. <a href="#ga5b731a59db062a9ad84562ef68a6c8af"></a><br/></td></tr>
  125. <tr class="separator:ga5b731a59db062a9ad84562ef68a6c8af"><td class="memSeparator" colspan="2">&#160;</td></tr>
  126. </table>
  127. <a name="details" id="details"></a><h2 class="groupheader">Description</h2>
  128. <p>Computes the dot product of two complex vectors. The vectors are multiplied element-by-element and then summed.</p>
  129. <p>The <code>pSrcA</code> points to the first complex input vector and <code>pSrcB</code> points to the second complex input vector. <code>numSamples</code> specifies the number of complex samples and the data in each array is stored in an interleaved fashion (real, imag, real, imag, ...). Each array has a total of <code>2*numSamples</code> values.</p>
  130. <p>The underlying algorithm is used: </p>
  131. <pre>
  132. realResult=0;
  133. imagResult=0;
  134. for(n=0; n&lt;numSamples; n++) {
  135. realResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+0] - pSrcA[(2*n)+1]*pSrcB[(2*n)+1];
  136. imagResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+1] + pSrcA[(2*n)+1]*pSrcB[(2*n)+0];
  137. }
  138. </pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
  139. <h2 class="groupheader">Function Documentation</h2>
  140. <a class="anchor" id="gadcfaf567a25eb641da4043eafb9bb076"></a>
  141. <div class="memitem">
  142. <div class="memproto">
  143. <table class="memname">
  144. <tr>
  145. <td class="memname">void arm_cmplx_dot_prod_f32 </td>
  146. <td>(</td>
  147. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
  148. <td class="paramname"><em>pSrcA</em>, </td>
  149. </tr>
  150. <tr>
  151. <td class="paramkey"></td>
  152. <td></td>
  153. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
  154. <td class="paramname"><em>pSrcB</em>, </td>
  155. </tr>
  156. <tr>
  157. <td class="paramkey"></td>
  158. <td></td>
  159. <td class="paramtype">uint32_t&#160;</td>
  160. <td class="paramname"><em>numSamples</em>, </td>
  161. </tr>
  162. <tr>
  163. <td class="paramkey"></td>
  164. <td></td>
  165. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
  166. <td class="paramname"><em>realResult</em>, </td>
  167. </tr>
  168. <tr>
  169. <td class="paramkey"></td>
  170. <td></td>
  171. <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
  172. <td class="paramname"><em>imagResult</em>&#160;</td>
  173. </tr>
  174. <tr>
  175. <td></td>
  176. <td>)</td>
  177. <td></td><td></td>
  178. </tr>
  179. </table>
  180. </div><div class="memdoc">
  181. <dl class="params"><dt>Parameters</dt><dd>
  182. <table class="params">
  183. <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
  184. <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
  185. <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
  186. <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
  187. <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
  188. </table>
  189. </dd>
  190. </dl>
  191. <dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
  192. </div>
  193. </div>
  194. <a class="anchor" id="ga2b08b5e8001d2c15204639d00893fc70"></a>
  195. <div class="memitem">
  196. <div class="memproto">
  197. <table class="memname">
  198. <tr>
  199. <td class="memname">void arm_cmplx_dot_prod_q15 </td>
  200. <td>(</td>
  201. <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
  202. <td class="paramname"><em>pSrcA</em>, </td>
  203. </tr>
  204. <tr>
  205. <td class="paramkey"></td>
  206. <td></td>
  207. <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
  208. <td class="paramname"><em>pSrcB</em>, </td>
  209. </tr>
  210. <tr>
  211. <td class="paramkey"></td>
  212. <td></td>
  213. <td class="paramtype">uint32_t&#160;</td>
  214. <td class="paramname"><em>numSamples</em>, </td>
  215. </tr>
  216. <tr>
  217. <td class="paramkey"></td>
  218. <td></td>
  219. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
  220. <td class="paramname"><em>realResult</em>, </td>
  221. </tr>
  222. <tr>
  223. <td class="paramkey"></td>
  224. <td></td>
  225. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
  226. <td class="paramname"><em>imagResult</em>&#160;</td>
  227. </tr>
  228. <tr>
  229. <td></td>
  230. <td>)</td>
  231. <td></td><td></td>
  232. </tr>
  233. </table>
  234. </div><div class="memdoc">
  235. <dl class="params"><dt>Parameters</dt><dd>
  236. <table class="params">
  237. <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
  238. <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
  239. <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
  240. <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
  241. <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
  242. </table>
  243. </dd>
  244. </dl>
  245. <dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
  246. <p><b>Scaling and Overflow Behavior:</b> </p>
  247. <dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result. These are accumulated in a 64-bit accumulator with 34.30 precision. As a final step, the accumulators are converted to 8.24 format. The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format. </dd></dl>
  248. </div>
  249. </div>
  250. <a class="anchor" id="ga5b731a59db062a9ad84562ef68a6c8af"></a>
  251. <div class="memitem">
  252. <div class="memproto">
  253. <table class="memname">
  254. <tr>
  255. <td class="memname">void arm_cmplx_dot_prod_q31 </td>
  256. <td>(</td>
  257. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
  258. <td class="paramname"><em>pSrcA</em>, </td>
  259. </tr>
  260. <tr>
  261. <td class="paramkey"></td>
  262. <td></td>
  263. <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
  264. <td class="paramname"><em>pSrcB</em>, </td>
  265. </tr>
  266. <tr>
  267. <td class="paramkey"></td>
  268. <td></td>
  269. <td class="paramtype">uint32_t&#160;</td>
  270. <td class="paramname"><em>numSamples</em>, </td>
  271. </tr>
  272. <tr>
  273. <td class="paramkey"></td>
  274. <td></td>
  275. <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
  276. <td class="paramname"><em>realResult</em>, </td>
  277. </tr>
  278. <tr>
  279. <td class="paramkey"></td>
  280. <td></td>
  281. <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
  282. <td class="paramname"><em>imagResult</em>&#160;</td>
  283. </tr>
  284. <tr>
  285. <td></td>
  286. <td>)</td>
  287. <td></td><td></td>
  288. </tr>
  289. </table>
  290. </div><div class="memdoc">
  291. <dl class="params"><dt>Parameters</dt><dd>
  292. <table class="params">
  293. <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
  294. <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
  295. <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
  296. <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
  297. <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
  298. </table>
  299. </dd>
  300. </dl>
  301. <dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
  302. <p><b>Scaling and Overflow Behavior:</b> </p>
  303. <dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format. The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits. Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768. The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format. Input down scaling is not required. </dd></dl>
  304. </div>
  305. </div>
  306. </div><!-- contents -->
  307. </div><!-- doc-content -->
  308. <!-- start footer part -->
  309. <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  310. <ul>
  311. <li class="footer">Generated on Tue Sep 23 2014 18:52:43 for CMSIS-DSP by ARM Ltd. All rights reserved.
  312. <!--
  313. <a href="http://www.doxygen.org/index.html">
  314. <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2
  315. -->
  316. </li>
  317. </ul>
  318. </div>
  319. </body>
  320. </html>