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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Mon, 05 Dec 2011 16:20:06 +0100 |
parents | f0afece42f48 |
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<p> Poles and zeros are treated the same with regards creation, so we will look here at poles only. The meaning of a pole and a zero only becomes important when creating a pole/zero model. </p> <p> Poles are specified by in the LTPDA Toolbox by a frequency, <i>f</i>, and (optionally) a quality factor, <i>Q</i>, or by a complex number. </p> <p> The following code fragment creates a real pole at 1Hz: </p> <div class="fragment"><pre> >> pz(1) ------ pz/1 ------- f: 1 q: NaN ri: -6.28318530717959 version: $Id: pzmodel_pz_content.html,v 1.3 2009/02/18 12:15:16 hewitson Exp $ ------------------- </pre></div> <p> To create a complex pole, you can specify a quality factor. For example, </p> <div class="fragment"><pre> >> pz(1,4) ------ pz/1 ------- f: 1 q: 4 ri: [0.785398163397448+i*6.23390466154956;0.785398163397448-i*6.23390466154956] version: $Id: pzmodel_pz_content.html,v 1.3 2009/02/18 12:15:16 hewitson Exp $ ------------------- </pre></div> <p> This creates a complex pole at 1Hz with a <i>Q</i> of 4. You can also see that the complex representation is also shown, but only one part of the conjugate pair. </p>