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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>Rational representation (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 "parfrac.html"><img src="b_prev.gif" border="0" align=
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30 "bottom" alt="Sum of partial fractions representation"></a>&nbsp;&nbsp;&nbsp;<a href=
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31 "convert_models.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Converting models between different representations"></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>Rational representation</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 <p>
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42 Transfer functions can be expressed as a quocient of polynomials as in the following expression
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43 </p>
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44 <br>
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45 <div align="center">
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46 <img src="images/rational_tf_eqn.png" alt="Pole/zero model TF" border="3">
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47 </div>
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48 <br>
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49 <p>
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50 The constructor can be used in different ways
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51 </p>
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52 <h2>From coefficients</a></h2>
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53 <p>
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54 The standard way is to input the coefficients of your filter. The constructor
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55 accepts as a optional properties the name
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56 </p>
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57 <br>
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58 <div class="fragment"><pre>
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59 >> rat = rational([1 3 5 7],[5 10 0.01],'filter_name')
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60 ---- rational 1 ----
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61 model: filter_name
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62 num: [1 3 5 7]
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63 den: [5 10 0.01]
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64 iunits: []
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65 ounits: []
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66 --------------------
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67 </pre></div>
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68 <br>
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69 <h2>From partial XML file</a></h2>
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70 You can input a XML file containing a transfer function model into the constructor
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71 <br>
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72 <div class="fragment"><pre>
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73 >> rat = rational('datafile.xml')
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74 </pre></div>
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75 <br>
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76 <h2>From mat file</a></h2>
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77 You can input a mat file containing a transfer function model into the constructor
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78 <br>
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79 <div class="fragment"><pre>
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80 >> rat = rational('datafile.mat')
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81 </pre></div>
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82 <br>
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83 <h2>From plist</a></h2>
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84 All the properties of the filter can be specified in a plist and then passed to the constructor:
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85 <br>
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86 <div class="fragment"><pre>
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87 >> pl = plist('iunits','m','ounits','V','num',[1 3 10],'den',[4 6],...
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88 'name','filter_mame');
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89 >> par = parfrac(pl)
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90 ---- rational 1 ----
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91 model: filter_mame
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92 num: [1 3 10]
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93 den: [4 6]
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94 iunits: [m]
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95 ounits: [V]
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96 --------------------
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97 </pre></div>
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98 <br>
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99 <h2>From repository</a></h2>
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100 Rational transfer function can be obtained from the <a href="repo.html"> repository </a> with the following syntax.
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101 <br>
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102 <div class="fragment"><pre>
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103 >> rat = rational('Hostname','localhost','Database','ltpda',...
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104 'ID',[],'CID',[],'Binary',yes)
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105 </pre></div>
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106 <br>
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107
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108 </p>
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109
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110 <br>
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111 <br>
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112 <table class="nav" summary="Navigation aid" border="0" width=
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113 "100%" cellpadding="0" cellspacing="0">
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114 <tr valign="top">
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115 <td align="left" width="20"><a href="parfrac.html"><img src=
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116 "b_prev.gif" border="0" align="bottom" alt=
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117 "Sum of partial fractions representation"></a>&nbsp;</td>
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118
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119 <td align="left">Sum of partial fractions representation</td>
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120
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121 <td>&nbsp;</td>
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122
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123 <td align="right">Converting models between different representations</td>
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124
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125 <td align="right" width="20"><a href=
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126 "convert_models.html"><img src="b_next.gif" border="0" align=
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127 "bottom" alt="Converting models between different representations"></a></td>
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128 </tr>
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129 </table><br>
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130
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131 <p class="copy">&copy;LTP Team</p>
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132 </body>
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133 </html>