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<div class="title">Matrix Example</div> </div>
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<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div>
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<dl class="user"><dt><b>Description: </b></dt><dd></dd></dl>
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<dl class="user"><dt><b></b></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>
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<dl class="user"><dt><b>Algorithm:</b></dt><dd></dd></dl>
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<dl class="user"><dt><b></b></dt><dd>The linear combination of parameters considered is as follows: </dd></dl>
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<dl class="user"><dt><b></b></dt><dd><code>A * X = B</code>, where <code>X</code> is the unknown value and can be estimated from <code>A</code> & <code>B</code>. </dd></dl>
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<dl class="user"><dt><b></b></dt><dd>The least squares estimate <code>X</code> is given by the following equation: </dd></dl>
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<dl class="user"><dt><b></b></dt><dd><code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code></dd></dl>
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<dl class="user"><dt><b>Block Diagram:</b></dt><dd></dd></dl>
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<dl class="user"><dt><b></b></dt><dd><div class="image">
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<img src="matrixExample.gif" alt="matrixExample.gif"/>
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</div>
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</dd></dl>
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<dl class="user"><dt><b>Variables Description:</b></dt><dd></dd></dl>
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<dl class="user"><dt><b></b></dt><dd><ul>
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<li><code>A_f32</code> input matrix in the linear combination equation </li>
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<li><code>B_f32</code> output matrix in the linear combination equation </li>
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<li><code>X_f32</code> unknown matrix estimated using <code>A_f32</code> & <code>B_f32</code> matrices</li>
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</ul>
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</dd></dl>
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<dl class="user"><dt><b>CMSIS DSP Software Library Functions Used:</b></dt><dd></dd></dl>
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<dl class="user"><dt><b></b></dt><dd><ul>
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<li><a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32()</a></li>
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<li><a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789" title="Floating-point matrix transpose.">arm_mat_trans_f32()</a></li>
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<li><a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32()</a></li>
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<li><a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3" title="Floating-point matrix inverse.">arm_mat_inverse_f32()</a></li>
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</ul>
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</dd></dl>
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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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<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Defines</a></div>
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<li class="footer">Generated on Wed Mar 28 2012 15:38:08 for CMSIS-DSP by ARM Ltd. All rights reserved.
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