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<title>CMSIS-DSP: Vector Inverse Clarke Transform</title>
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 <span id="projectnumber">Version 1.5.1</span>
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<a href="#func-members">Functions</a> </div>
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<div class="title">Vector Inverse Clarke Transform<div class="ingroups"><a class="el" href="group__groupController.html">Controller Functions</a></div></div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga945eb24e625a57c7c3be8a6e655646e3"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga945eb24e625a57c7c3be8a6e655646e3">arm_inv_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ialpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ibeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIa, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIb)</td></tr>
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<tr class="memdesc:ga945eb24e625a57c7c3be8a6e655646e3"><td class="mdescLeft"> </td><td class="mdescRight">Floating-point Inverse Clarke transform. <a href="#ga945eb24e625a57c7c3be8a6e655646e3">More...</a><br/></td></tr>
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<tr class="separator:ga945eb24e625a57c7c3be8a6e655646e3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga50768ebd8b71e8988dbb804cc03a742d"><td class="memItemLeft" align="right" valign="top">CMSIS_INLINE __STATIC_INLINE void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga50768ebd8b71e8988dbb804cc03a742d">arm_inv_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ialpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ibeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIa, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIb)</td></tr>
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<tr class="memdesc:ga50768ebd8b71e8988dbb804cc03a742d"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Clarke transform for Q31 version. <a href="#ga50768ebd8b71e8988dbb804cc03a742d">More...</a><br/></td></tr>
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<tr class="separator:ga50768ebd8b71e8988dbb804cc03a742d"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
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<p>Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.</p>
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<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
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<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
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<img src="clarkeInvFormula.gif" alt="clarkeInvFormula.gif"/>
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</div>
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where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector. </dd></dl>
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<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
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<h2 class="groupheader">Function Documentation</h2>
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<a class="anchor" id="ga945eb24e625a57c7c3be8a6e655646e3"></a>
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<td class="memname">CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_f32 </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
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<td class="paramname"><em>Ialpha</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> </td>
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<td class="paramname"><em>Ibeta</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
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<td class="paramname"><em>pIa</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> * </td>
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<td class="paramname"><em>pIb</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code> </td></tr>
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</table>
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</dd>
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</dl>
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</div>
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</div>
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<a class="anchor" id="ga50768ebd8b71e8988dbb804cc03a742d"></a>
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<div class="memproto">
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<tr>
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<td class="memname">CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_q31 </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Ialpha</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> </td>
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<td class="paramname"><em>Ibeta</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
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<td class="paramname"><em>pIa</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> * </td>
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<td class="paramname"><em>pIb</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
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<tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code></td></tr>
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</table>
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</dd>
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</dl>
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<p><b>Scaling and Overflow Behavior:</b> </p>
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<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the subtraction, hence there is no risk of overflow. </dd></dl>
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<p>References <a class="el" href="arm__math_8h.html#a15e896d0146c280e600d00f609832350">__QSUB()</a>.</p>
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