comparison m-toolbox/html_help/help/ug/sigproc_linear_param_estimation_svd.html @ 0:f0afece42f48

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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11 <title>Linear Parameter Estimation with Singular Value Decomposition (LTPDA Toolbox)</title>
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21 <p style="font-size:1px;">&nbsp;</p>
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23 <table class="nav" summary="Navigation aid" border="0" width=
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26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
27
28 <td valign="baseline" align="right"><a href=
29 "sigproc_polyfit.html"><img src="b_prev.gif" border="0" align=
30 "bottom" alt="Polynomial Fitting"></a>&nbsp;&nbsp;&nbsp;<a href=
31 "sigproc_example_ao_linlsqsvd.html"><img src="b_next.gif" border="0" align=
32 "bottom" alt="Linear least squares with singular value deconposition - single experiment"></a></td>
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34 </table>
35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Linear Parameter Estimation with Singular Value Decomposition</h1>
37 <hr>
38
39 <p>
40
41 <!-- ================================================== -->
42 <!-- BEGIN CONTENT FILE -->
43 <!-- ================================================== -->
44 <!-- ===== link box: Begin ===== -->
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46 <table border="1" width="80%">
47 <tr>
48 <td>
49 <table border="0" cellpadding="5" class="categorylist" width="100%">
50 <colgroup>
51 <col width="37%"/>
52 <col width="63%"/>
53 </colgroup>
54 <tbody>
55 <tr valign="top">
56 <td>
57 <a href="#linlsqsvd_1exp">ao/linlsqsvd</a>
58 </td>
59 <td>Linear least squares with singular value deconposition - single experiment.</td>
60 </tr>
61 <tr valign="top">
62 <td>
63 <a href="#linlsqsvd_Nexp">matrix/linlsqsvd</a>
64 </td>
65 <td>Linear least squares with singular value deconposition - multiple experiments.</td>
66 </tr>
67 <tr valign="top">
68 <td>
69 <a href="#linfitsvd1">matrix/linfitsvd</a>
70 </td>
71 <td>Iterative linear parameter estimation for multichannel systems - symbolic system model in frequency domain.</td>
72 </tr>
73 <tr valign="top">
74 <td>
75 <a href="#linfitsvd2">matrix/linfitsvd</a>
76 </td>
77 <td>Iterative linear parameter estimation for multichannel systems - ssm system model in time domain.</td>
78 </tr>
79 <tr valign="top">
80 <td>
81 <a href="#ref">References</a>
82 </td>
83 </tr>
84 </tbody>
85 </table>
86 </td>
87 </tr>
88 </table>
89 </p>
90 <!-- ===== link box: End ====== -->
91
92 <p>
93 </p>
94 <p>
95 The following sections gives an introduction to the linear parameters
96 estimation methods based on singular value decomposition.
97 </p>
98
99 <!-- ===== ao/linlsqsvd ====== -->
100 <h2><a name="#linlsqsvd_1exp">Linear least squares with singular value deconposition - single experiment.</a></h2>
101 <p>
102 We report an <a href="sigproc_example_ao_linlsqsvd.html">example</a>
103 of the application of <a href="matlab:doc('ao/linlsqsvd')">ao/linlsqsvd</a>.
104 The <a href="sigproc_example_ao_linlsqsvd.html">example</a> shows how to
105 perform a linear parameters estimation for a single data series which is
106 representing the output of an experiment on a given physical system.
107 </p>
108
109 <!-- ===== matrix/linlsqsvd ====== -->
110 <h2><a name="#linlsqsvd_Nexp">Linear least squares with singular value deconposition - multiple experiments.</a></h2>
111 <p>
112 We report an <a href="sigproc_example_matrix_linlsqsvd.html">example</a>
113 of the application of <a href="matlab:doc('matrix/linlsqsvd')">matrix/linlsqsvd</a>.
114 The <a href="sigproc_example_matrix_linlsqsvd.html">example</a> shows how to
115 perform a linear parameters estimation for multiple data series which are
116 representing the output of multiple experiments on a given physical system.
117 </p>
118
119 <!-- ===== matrix/linfitsvd ====== -->
120 <h2><a name="#linfitsvd1">Iterative linear parameter estimation for multichannel systems - symbolic system model in frequency domain.</a></h2>
121 <p>
122 We report an <a href="sigproc_example_matrix_linfitsvd.html">example</a>
123 of the application of <a href="matlab:doc('matrix/linfitsvd')">matrix/linfitsvd</a>.
124 The <a href="sigproc_example_matrix_linfitsvd.html">example</a> shows how to
125 perform an iterative linear parameters estimation for a multichannel system.
126 System model is analystic and frequency domain. Fit is performed in time domain.
127 Further details can be found in ref. [1].
128 </p>
129
130 <!-- ===== matrix/linfitsvd ====== -->
131 <h2><a name="#linfitsvd2">Iterative linear parameter estimation for multichannel systems - ssm system model in time domain.</a></h2>
132 <p>
133 We report an <a href="sigproc_example_matrix_linfitsvd_ssm.html">example</a>
134 of the application of <a href="matlab:doc('matrix/linfitsvd')">matrix/linfitsvd</a>.
135 The <a href="sigproc_example_matrix_linfitsvd_ssm.html">example</a> shows how to
136 perform an iterative linear parameters estimation for a multichannel system.
137 System model is ssm and time domain. Fit is performed in time domain.
138 </p>
139
140 <h2><a name="#ref"> References</a></h2>
141 <ol>
142 <li> M Nofrarias, L Ferraioli, G Congedo, Comparison of parameter
143 estimates results in STOC Exercise 6, S2-AEI-TN-3070.</li>
144 </ol>
145
146
147
148
149
150 </p>
151
152 <br>
153 <br>
154 <table class="nav" summary="Navigation aid" border="0" width=
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156 <tr valign="top">
157 <td align="left" width="20"><a href="sigproc_polyfit.html"><img src=
158 "b_prev.gif" border="0" align="bottom" alt=
159 "Polynomial Fitting"></a>&nbsp;</td>
160
161 <td align="left">Polynomial Fitting</td>
162
163 <td>&nbsp;</td>
164
165 <td align="right">Linear least squares with singular value deconposition - single experiment</td>
166
167 <td align="right" width="20"><a href=
168 "sigproc_example_ao_linlsqsvd.html"><img src="b_next.gif" border="0" align=
169 "bottom" alt="Linear least squares with singular value deconposition - single experiment"></a></td>
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171 </table><br>
172
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