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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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2 "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
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3
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4 <html lang="en">
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5 <head>
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6 <meta name="generator" content=
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7 "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org">
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8 <meta http-equiv="Content-Type" content=
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9 "text/html; charset=us-ascii">
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10
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11 <title>Linear Parameter Estimation with Singular Value Decomposition (LTPDA Toolbox)</title>
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12 <link rel="stylesheet" href="docstyle.css" type="text/css">
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13 <meta name="generator" content="DocBook XSL Stylesheets V1.52.2">
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14 <meta name="description" content=
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15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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16 </head>
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17
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18 <body>
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19 <a name="top_of_page" id="top_of_page"></a>
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20
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21 <p style="font-size:1px;">&nbsp;</p>
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22
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23 <table class="nav" summary="Navigation aid" border="0" width=
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24 "100%" cellpadding="0" cellspacing="0">
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25 <tr>
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26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
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27
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28 <td valign="baseline" align="right"><a href=
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29 "sigproc_polyfit.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Polynomial Fitting"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "sigproc_example_ao_linlsqsvd.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Linear least squares with singular value deconposition - single experiment"></a></td>
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33 </tr>
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34 </table>
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35
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36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Linear Parameter Estimation with Singular Value Decomposition</h1>
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37 <hr>
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38
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39 <p>
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40
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41 <!-- ================================================== -->
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42 <!-- BEGIN CONTENT FILE -->
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43 <!-- ================================================== -->
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44 <!-- ===== link box: Begin ===== -->
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45 <p>
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46 <table border="1" width="80%">
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47 <tr>
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48 <td>
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49 <table border="0" cellpadding="5" class="categorylist" width="100%">
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50 <colgroup>
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51 <col width="37%"/>
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52 <col width="63%"/>
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53 </colgroup>
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54 <tbody>
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55 <tr valign="top">
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56 <td>
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57 <a href="#linlsqsvd_1exp">ao/linlsqsvd</a>
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58 </td>
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59 <td>Linear least squares with singular value deconposition - single experiment.</td>
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60 </tr>
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61 <tr valign="top">
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62 <td>
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63 <a href="#linlsqsvd_Nexp">matrix/linlsqsvd</a>
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64 </td>
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65 <td>Linear least squares with singular value deconposition - multiple experiments.</td>
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66 </tr>
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67 <tr valign="top">
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68 <td>
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69 <a href="#linfitsvd1">matrix/linfitsvd</a>
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70 </td>
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71 <td>Iterative linear parameter estimation for multichannel systems - symbolic system model in frequency domain.</td>
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72 </tr>
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73 <tr valign="top">
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74 <td>
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75 <a href="#linfitsvd2">matrix/linfitsvd</a>
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76 </td>
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77 <td>Iterative linear parameter estimation for multichannel systems - ssm system model in time domain.</td>
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78 </tr>
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79 <tr valign="top">
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80 <td>
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81 <a href="#ref">References</a>
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82 </td>
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83 </tr>
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84 </tbody>
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85 </table>
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86 </td>
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87 </tr>
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88 </table>
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89 </p>
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90 <!-- ===== link box: End ====== -->
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91
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92 <p>
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93 </p>
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94 <p>
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95 The following sections gives an introduction to the linear parameters
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96 estimation methods based on singular value decomposition.
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97 </p>
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98
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99 <!-- ===== ao/linlsqsvd ====== -->
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100 <h2><a name="#linlsqsvd_1exp">Linear least squares with singular value deconposition - single experiment.</a></h2>
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101 <p>
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102 We report an <a href="sigproc_example_ao_linlsqsvd.html">example</a>
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103 of the application of <a href="matlab:doc('ao/linlsqsvd')">ao/linlsqsvd</a>.
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104 The <a href="sigproc_example_ao_linlsqsvd.html">example</a> shows how to
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105 perform a linear parameters estimation for a single data series which is
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106 representing the output of an experiment on a given physical system.
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107 </p>
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108
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109 <!-- ===== matrix/linlsqsvd ====== -->
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110 <h2><a name="#linlsqsvd_Nexp">Linear least squares with singular value deconposition - multiple experiments.</a></h2>
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111 <p>
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112 We report an <a href="sigproc_example_matrix_linlsqsvd.html">example</a>
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113 of the application of <a href="matlab:doc('matrix/linlsqsvd')">matrix/linlsqsvd</a>.
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114 The <a href="sigproc_example_matrix_linlsqsvd.html">example</a> shows how to
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115 perform a linear parameters estimation for multiple data series which are
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116 representing the output of multiple experiments on a given physical system.
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117 </p>
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118
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119 <!-- ===== matrix/linfitsvd ====== -->
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120 <h2><a name="#linfitsvd1">Iterative linear parameter estimation for multichannel systems - symbolic system model in frequency domain.</a></h2>
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121 <p>
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122 We report an <a href="sigproc_example_matrix_linfitsvd.html">example</a>
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123 of the application of <a href="matlab:doc('matrix/linfitsvd')">matrix/linfitsvd</a>.
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124 The <a href="sigproc_example_matrix_linfitsvd.html">example</a> shows how to
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125 perform an iterative linear parameters estimation for a multichannel system.
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126 System model is analystic and frequency domain. Fit is performed in time domain.
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127 Further details can be found in ref. [1].
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128 </p>
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129
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130 <!-- ===== matrix/linfitsvd ====== -->
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131 <h2><a name="#linfitsvd2">Iterative linear parameter estimation for multichannel systems - ssm system model in time domain.</a></h2>
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132 <p>
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133 We report an <a href="sigproc_example_matrix_linfitsvd_ssm.html">example</a>
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134 of the application of <a href="matlab:doc('matrix/linfitsvd')">matrix/linfitsvd</a>.
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135 The <a href="sigproc_example_matrix_linfitsvd_ssm.html">example</a> shows how to
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136 perform an iterative linear parameters estimation for a multichannel system.
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137 System model is ssm and time domain. Fit is performed in time domain.
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138 </p>
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139
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140 <h2><a name="#ref"> References</a></h2>
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141 <ol>
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142 <li> M Nofrarias, L Ferraioli, G Congedo, Comparison of parameter
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143 estimates results in STOC Exercise 6, S2-AEI-TN-3070.</li>
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144 </ol>
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145
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146
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147
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148
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149
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150 </p>
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151
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152 <br>
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153 <br>
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154 <table class="nav" summary="Navigation aid" border="0" width=
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155 "100%" cellpadding="0" cellspacing="0">
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157 <td align="left" width="20"><a href="sigproc_polyfit.html"><img src=
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159 "Polynomial Fitting"></a>&nbsp;</td>
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161 <td align="left">Polynomial Fitting</td>
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162
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163 <td>&nbsp;</td>
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165 <td align="right">Linear least squares with singular value deconposition - single experiment</td>
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167 <td align="right" width="20"><a href=
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168 "sigproc_example_ao_linlsqsvd.html"><img src="b_next.gif" border="0" align=
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169 "bottom" alt="Linear least squares with singular value deconposition - single experiment"></a></td>
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170 </tr>
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171 </table><br>
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173 <p class="copy">&copy;LTP Team</p>
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174 </body>
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175 </html>