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<title>CMSIS-DSP: Matrix Example</title>
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<div id="projectname">CMSIS-DSP
&#160;<span id="projectnumber">Version 1.5.2</span>
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<div id="projectbrief">CMSIS DSP Software Library</div>
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<div class="title">Matrix Example<div class="ingroups"><a class="el" href="group__groupExamples.html">Examples</a></div></div> </div>
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<dl class="section user"><dt>Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse functions to apply least squares fitting to input data. Least squares fitting is the procedure for finding the best-fitting curve that minimizes the sum of the squares of the offsets (least square error) from a given set of data.</dd></dl>
<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd>The linear combination of parameters considered is as follows: </dd></dl>
<dl class="section user"><dt></dt><dd><code>A * X = B</code>, where <code>X</code> is the unknown value and can be estimated from <code>A</code> &amp; <code>B</code>. </dd></dl>
<dl class="section user"><dt></dt><dd>The least squares estimate <code>X</code> is given by the following equation: </dd></dl>
<dl class="section user"><dt></dt><dd><code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code></dd></dl>
<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
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<img src="matrixExample.gif" alt="matrixExample.gif"/>
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<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
<dl class="section user"><dt></dt><dd><ul>
<li><code>A_f32</code> input matrix in the linear combination equation </li>
<li><code>B_f32</code> output matrix in the linear combination equation </li>
<li><code>X_f32</code> unknown matrix estimated using <code>A_f32</code> &amp; <code>B_f32</code> matrices</li>
</ul>
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<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
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<li><a class="el" href="group__MatrixInit.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization. ">arm_mat_init_f32()</a></li>
<li><a class="el" href="group__MatrixTrans.html#gad7dd9f108429da13d3864696ceeec789" title="Floating-point matrix transpose. ">arm_mat_trans_f32()</a></li>
<li><a class="el" href="group__MatrixMult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication. ">arm_mat_mult_f32()</a></li>
<li><a class="el" href="group__MatrixInv.html#ga542be7aabbf7a2297a4b62cf212910e3" title="Floating-point matrix inverse. ">arm_mat_inverse_f32()</a></li>
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<p><b> Refer </b> <a class="el" href="arm_matrix_example_f32_8c-example.html">arm_matrix_example_f32.c</a> </p>
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