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