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comparison m-toolbox/classes/+utils/@math/getdc.m @ 0:f0afece42f48

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