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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
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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>Transforming models between representations (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 "ltpda_training_topic_4_1_3.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Rational representation"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Modelling a system"></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>Transforming models between representations</h1>
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37 <hr>
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38
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39 <p>
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40 <h2>Transforming between different representations</h2>
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41
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42 <p>
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43 The LTPDA toolbox allows you to go from one representation to the other. However,
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44 in the current version (v2.3), only the transformations shown in the following
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45 table are allowed
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46 </p>
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47
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48 <div align="center">
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49 <img src="images/TransformTable.png" alt="Pole/zero model TF" border="3">
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50 </div>
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51
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52 <p>
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53 We can see how this work for the allowed transformation using the models that
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54 we have just created. To turn our <tt>pzmodel</tt> into a <tt>rational</tt>
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55 one, we just need to insert the first into the rational constructor
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56 </p>
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57 <p>
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58 For example, if we consider again our <tt>pzmodel</tt>
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59 </p>
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60
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61 <div class="fragment"><pre>
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62 pzm = pzmodel(5, [10 2],{1, 0.1},<span class="string">'mymodel'</span>)
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63 ---- pzmodel 1 ----
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64 name: <span class="string">mymodel</span>
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65 gain: 5
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66 delay: 0
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67 iunits: []
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68 ounits: []
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69 description:
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70 UUID: 9206f503-69c9-4c20-963e-b5604e59b450
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71 pole 001: (f=10 Hz,Q=2)
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72 zero 001: (f=1 Hz,Q=NaN)
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73 zero 002: (f=0.1 Hz,Q=NaN)
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74 -------------------
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75 </pre></div>
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76
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77 <p>
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78 To transform it into its rational equivalent we just need to give it as a input to
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79 the rational constructor
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80 </p>
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81
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82 <div class="fragment"><pre>
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83 rat = rational(pzm)
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84 ---- rational 1 ----
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85 model: rational(<span class="string">mymodel</span>)
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86 num: [1.26651479552922 8.75352187005424 5]
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87 den: [0.000253302959105844 0.00795774715459477 1]
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88 iunits: []
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89 ounits: []
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90 description:
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91 UUID: 04b7990b-293c-41a7-a3c9-a311e6f3974b
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92 --------------------
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93 </pre></div>
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94
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95 <p>
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96 The transformation returns again the first <tt>pzmodel</tt> however the
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97 name property allows us to follow the operations that we've been performing to
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98 this object.
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99 </p>
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100
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101 <div class="fragment"><pre>
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102 pzm2 = pzmodel(rat)
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103 ---- pzmodel 1 ----
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104 name: pzmodel(rational(<span class="string">mymodel</span>))
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105 gain: 5
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106 delay: 0
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107 iunits: []
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108 ounits: []
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109 description:
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110 UUID: b2177fde-1465-4c5c-a94f-29d73d9aed67
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111 pole 001: (f=10 Hz,Q=2)
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112 zero 001: (f=1 Hz,Q=NaN)
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113 zero 002: (f=0.1 Hz,Q=NaN)
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114 -------------------
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115 </pre></div>
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116
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117
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118
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120
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122
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124
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125
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126
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127 </p>
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128
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129 <br>
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130 <br>
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131 <table class="nav" summary="Navigation aid" border="0" width=
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132 "100%" cellpadding="0" cellspacing="0">
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133 <tr valign="top">
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134 <td align="left" width="20"><a href="ltpda_training_topic_4_1_3.html"><img src=
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135 "b_prev.gif" border="0" align="bottom" alt=
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136 "Rational representation"></a>&nbsp;</td>
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137
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138 <td align="left">Rational representation</td>
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139
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140 <td>&nbsp;</td>
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141
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142 <td align="right">Modelling a system</td>
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143
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144 <td align="right" width="20"><a href=
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145 "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align=
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146 "bottom" alt="Modelling a system"></a></td>
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147 </tr>
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148 </table><br>
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149
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150 <p class="copy">&copy;LTP Team</p>
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151 </body>
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152 </html>