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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"
2 "http://www.w3.org/TR/1999/REC-html401-19991224/loose.dtd">
3
4 <html lang="en">
5 <head>
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7 "HTML Tidy for Mac OS X (vers 1st December 2004), see www.w3.org">
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10
11 <title>Transforming models between representations (LTPDA Toolbox)</title>
12 <link rel="stylesheet" href="docstyle.css" type="text/css">
13 <meta name="generator" content="DocBook XSL Stylesheets V1.52.2">
14 <meta name="description" content=
15 "Presents an overview of the features, system requirements, and starting the toolbox.">
16 </head>
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 "ltpda_training_topic_4_1_3.html"><img src="b_prev.gif" border="0" align=
30 "bottom" alt="Rational representation"></a>&nbsp;&nbsp;&nbsp;<a href=
31 "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align=
32 "bottom" alt="Modelling a system"></a></td>
33 </tr>
34 </table>
35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Transforming models between representations</h1>
37 <hr>
38
39 <p>
40 <h2>Transforming between different representations</h2>
41
42 <p>
43 The LTPDA toolbox allows you to go from one representation to the other. However,
44 in the current version (v2.3), only the transformations shown in the following
45 table are allowed
46 </p>
47
48 <div align="center">
49 <img src="images/TransformTable.png" alt="Pole/zero model TF" border="3">
50 </div>
51
52 <p>
53 We can see how this work for the allowed transformation using the models that
54 we have just created. To turn our <tt>pzmodel</tt> into a <tt>rational</tt>
55 one, we just need to insert the first into the rational constructor
56 </p>
57 <p>
58 For example, if we consider again our <tt>pzmodel</tt>
59 </p>
60
61 <div class="fragment"><pre>
62 pzm = pzmodel(5, [10 2],{1, 0.1},<span class="string">'mymodel'</span>)
63 ---- pzmodel 1 ----
64 name: <span class="string">mymodel</span>
65 gain: 5
66 delay: 0
67 iunits: []
68 ounits: []
69 description:
70 UUID: 9206f503-69c9-4c20-963e-b5604e59b450
71 pole 001: (f=10 Hz,Q=2)
72 zero 001: (f=1 Hz,Q=NaN)
73 zero 002: (f=0.1 Hz,Q=NaN)
74 -------------------
75 </pre></div>
76
77 <p>
78 To transform it into its rational equivalent we just need to give it as a input to
79 the rational constructor
80 </p>
81
82 <div class="fragment"><pre>
83 rat = rational(pzm)
84 ---- rational 1 ----
85 model: rational(<span class="string">mymodel</span>)
86 num: [1.26651479552922 8.75352187005424 5]
87 den: [0.000253302959105844 0.00795774715459477 1]
88 iunits: []
89 ounits: []
90 description:
91 UUID: 04b7990b-293c-41a7-a3c9-a311e6f3974b
92 --------------------
93 </pre></div>
94
95 <p>
96 The transformation returns again the first <tt>pzmodel</tt> however the
97 name property allows us to follow the operations that we've been performing to
98 this object.
99 </p>
100
101 <div class="fragment"><pre>
102 pzm2 = pzmodel(rat)
103 ---- pzmodel 1 ----
104 name: pzmodel(rational(<span class="string">mymodel</span>))
105 gain: 5
106 delay: 0
107 iunits: []
108 ounits: []
109 description:
110 UUID: b2177fde-1465-4c5c-a94f-29d73d9aed67
111 pole 001: (f=10 Hz,Q=2)
112 zero 001: (f=1 Hz,Q=NaN)
113 zero 002: (f=0.1 Hz,Q=NaN)
114 -------------------
115 </pre></div>
116
117
118
119
120
121
122
123
124
125
126
127 </p>
128
129 <br>
130 <br>
131 <table class="nav" summary="Navigation aid" border="0" width=
132 "100%" cellpadding="0" cellspacing="0">
133 <tr valign="top">
134 <td align="left" width="20"><a href="ltpda_training_topic_4_1_3.html"><img src=
135 "b_prev.gif" border="0" align="bottom" alt=
136 "Rational representation"></a>&nbsp;</td>
137
138 <td align="left">Rational representation</td>
139
140 <td>&nbsp;</td>
141
142 <td align="right">Modelling a system</td>
143
144 <td align="right" width="20"><a href=
145 "ltpda_training_topic_4_3.html"><img src="b_next.gif" border="0" align=
146 "bottom" alt="Modelling a system"></a></td>
147 </tr>
148 </table><br>
149
150 <p class="copy">&copy;LTP Team</p>
151 </body>
152 </html>