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annotate m-toolbox/classes/+utils/@math/getdc.m @ 33:5e7477b94d94 database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % GETDC get the DC gain factor for a pole-zero model
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3 %
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4 % DESCRIPTION
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5 %
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6 % A zpk model in matlab notation is an object of the type:
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7 %
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8 % (s-z1)...(s-zN)
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9 % zpk = k*----------------
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10 % (s-p1)...(s-pn)
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11 %
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12 % the zero-frequency-gain (zfg) or DC gain of this object is obtained by
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13 % the equation, for s = 0.
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14 % LTPDA pzmodels are constructed by poles, zeros and DC gain. This means
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15 % that the value stored in the 'gain' field of the model is the dc gain!
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16 % This function calculate k.
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17 %
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18 % CALL:
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19 %
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20 % dc = getdc(z,p,k)
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21 %
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22 % INPUT:
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23 %
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24 % z: zeros
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25 % p: poles
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26 % k: gain coefficient
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27 %
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28 %
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29 % OUTPUT:
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30 %
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31 % dc: dc gain of the model
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32 %
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33 % NOTE:
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34 %
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35 %
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36 %
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37 %
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38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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39 % VERSION: $Id: getdc.m,v 1.2 2010/02/22 15:14:17 luigi Exp $
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40 %
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41 % HISTORY: 08-10-2008 L Ferraioli
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42 % Creation
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43 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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44 function dc = getdc(z,p,k)
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45
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46 zrs = prod(-1*z);
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47 pls = prod(-1*p);
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48
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49 dc = k*zrs/pls;
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50
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51 end
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