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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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2 <p>
3 Poles and zeros are treated the same with regards creation, so we will look here at poles only. The
4 meaning of a pole and a zero only becomes important when creating a pole/zero model.
5 </p>
6 <p>
7 Poles are specified by in the LTPDA Toolbox by a frequency, <i>f</i>, and (optionally) a quality
8 factor, <i>Q</i>, or by a complex number.
9 </p>
10 <p>
11 The following code fragment creates a real pole at 1Hz:
12 </p>
13 <div class="fragment"><pre>
14 >> pz(1)
15 ------ pz/1 -------
16 f: 1
17 q: NaN
18 ri: -6.28318530717959
19 version: $Id: pzmodel_pz_content.html,v 1.3 2009/02/18 12:15:16 hewitson Exp $
20 -------------------
21 </pre></div>
22 <p>
23 To create a complex pole, you can specify a quality factor. For example,
24 </p>
25 <div class="fragment"><pre>
26 >> pz(1,4)
27 ------ pz/1 -------
28 f: 1
29 q: 4
30 ri: [0.785398163397448+i*6.23390466154956;0.785398163397448-i*6.23390466154956]
31 version: $Id: pzmodel_pz_content.html,v 1.3 2009/02/18 12:15:16 hewitson Exp $
32 -------------------
33 </pre></div>
34 <p>
35 This creates a complex pole at 1Hz with a <i>Q</i> of 4. You can also see that the complex representation
36 is also shown, but only one part of the conjugate pair.
37 </p>