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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>Converting models between different 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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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 "rational.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 "pzmodel_filter.html"><img src="b_next.gif" border="0" align=
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32 "bottom" alt="Converting models to digital filters"></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>Converting models between different representations</h1>
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37 <hr>
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38
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39 <p>
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40 The different constructors from each transfer function representations accept as
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41 an input a model from a another representation so that they can all be converted
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42 between the different representations. In the current LTPDA version, this applies
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43 for pole/zero model and rational representation. Following versions will cover the
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44 partial fraction representation. This is shown in the following transformation table:
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45
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46 <div align="center">
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47 <img src="images/TransformTable.png" alt="Pole/zero model TF" border="3">
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48 </div>
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49
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50 <h2>From pzmodel to rational</a></h2>
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51 You can transform a <tt>pzmodel</tt> into a <tt>rational</tt> by typing:
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52 <br>
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53 <div class="fragment"><pre>
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54 >> rat = rational(pzmodel)
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55 </pre></div>
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56 <br>
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57
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58 <h2>From rational to pzmodel</a></h2>
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59 You can transform a <tt>rational</tt> into a <tt>pzmodel</tt> by typing:
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60 <br>
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61 <div class="fragment"><pre>
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62 >> rat = pzmodel(rational)
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63 </pre></div>
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64 <br>
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65
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66 <h2>Algorithm</a></h2>
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67 To translate from <tt>rational</tt> to <tt>pzmodel</tt> representation we need to
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68 compute the roots of a polynomial and the inverse operation is performed going from
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69 <tt>pzmodel</tt> to <tt>rational</tt>. More information about the algorithm used can be
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70 found in MATLAB's functions <a href="matlab:doc('poly')">poly</a> and
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71 <a href="matlab:doc('roots')">roots</a>.
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74
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75 </p>
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76
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77 <br>
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78 <br>
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79 <table class="nav" summary="Navigation aid" border="0" width=
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80 "100%" cellpadding="0" cellspacing="0">
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81 <tr valign="top">
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82 <td align="left" width="20"><a href="rational.html"><img src=
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83 "b_prev.gif" border="0" align="bottom" alt=
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84 "Rational representation"></a>&nbsp;</td>
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85
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86 <td align="left">Rational representation</td>
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87
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88 <td>&nbsp;</td>
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89
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90 <td align="right">Converting models to digital filters</td>
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91
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92 <td align="right" width="20"><a href=
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93 "pzmodel_filter.html"><img src="b_next.gif" border="0" align=
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94 "bottom" alt="Converting models to digital filters"></a></td>
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95 </tr>
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96 </table><br>
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97
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98 <p class="copy">&copy;LTP Team</p>
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99 </body>
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100 </html>