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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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10
11 <title>Rational representation (LTPDA Toolbox)</title>
12 <link rel="stylesheet" href="docstyle.css" type="text/css">
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15 "Presents an overview of the features, system requirements, and starting the toolbox.">
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17
18 <body>
19 <a name="top_of_page" id="top_of_page"></a>
20
21 <p style="font-size:1px;">&nbsp;</p>
22
23 <table class="nav" summary="Navigation aid" border="0" width=
24 "100%" cellpadding="0" cellspacing="0">
25 <tr>
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 "parfrac.html"><img src="b_prev.gif" border="0" align=
30 "bottom" alt="Sum of partial fractions representation"></a>&nbsp;&nbsp;&nbsp;<a href=
31 "convert_models.html"><img src="b_next.gif" border="0" align=
32 "bottom" alt="Converting models between different representations"></a></td>
33 </tr>
34 </table>
35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Rational representation</h1>
37 <hr>
38
39 <p>
40
41 <p>
42 Transfer functions can be expressed as a quocient of polynomials as in the following expression
43 </p>
44 <br>
45 <div align="center">
46 <img src="images/rational_tf_eqn.png" alt="Pole/zero model TF" border="3">
47 </div>
48 <br>
49 <p>
50 The constructor can be used in different ways
51 </p>
52 <h2>From coefficients</a></h2>
53 <p>
54 The standard way is to input the coefficients of your filter. The constructor
55 accepts as a optional properties the name
56 </p>
57 <br>
58 <div class="fragment"><pre>
59 >> rat = rational([1 3 5 7],[5 10 0.01],'filter_name')
60 ---- rational 1 ----
61 model: filter_name
62 num: [1 3 5 7]
63 den: [5 10 0.01]
64 iunits: []
65 ounits: []
66 --------------------
67 </pre></div>
68 <br>
69 <h2>From partial XML file</a></h2>
70 You can input a XML file containing a transfer function model into the constructor
71 <br>
72 <div class="fragment"><pre>
73 >> rat = rational('datafile.xml')
74 </pre></div>
75 <br>
76 <h2>From mat file</a></h2>
77 You can input a mat file containing a transfer function model into the constructor
78 <br>
79 <div class="fragment"><pre>
80 >> rat = rational('datafile.mat')
81 </pre></div>
82 <br>
83 <h2>From plist</a></h2>
84 All the properties of the filter can be specified in a plist and then passed to the constructor:
85 <br>
86 <div class="fragment"><pre>
87 >> pl = plist('iunits','m','ounits','V','num',[1 3 10],'den',[4 6],...
88 'name','filter_mame');
89 >> par = parfrac(pl)
90 ---- rational 1 ----
91 model: filter_mame
92 num: [1 3 10]
93 den: [4 6]
94 iunits: [m]
95 ounits: [V]
96 --------------------
97 </pre></div>
98 <br>
99 <h2>From repository</a></h2>
100 Rational transfer function can be obtained from the <a href="repo.html"> repository </a> with the following syntax.
101 <br>
102 <div class="fragment"><pre>
103 >> rat = rational('Hostname','localhost','Database','ltpda',...
104 'ID',[],'CID',[],'Binary',yes)
105 </pre></div>
106 <br>
107
108 </p>
109
110 <br>
111 <br>
112 <table class="nav" summary="Navigation aid" border="0" width=
113 "100%" cellpadding="0" cellspacing="0">
114 <tr valign="top">
115 <td align="left" width="20"><a href="parfrac.html"><img src=
116 "b_prev.gif" border="0" align="bottom" alt=
117 "Sum of partial fractions representation"></a>&nbsp;</td>
118
119 <td align="left">Sum of partial fractions representation</td>
120
121 <td>&nbsp;</td>
122
123 <td align="right">Converting models between different representations</td>
124
125 <td align="right" width="20"><a href=
126 "convert_models.html"><img src="b_next.gif" border="0" align=
127 "bottom" alt="Converting models between different representations"></a></td>
128 </tr>
129 </table><br>
130
131 <p class="copy">&copy;LTP Team</p>
132 </body>
133 </html>