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annotate m-toolbox/classes/@pz/fq2ri.m @ 45:a59cdb8aaf31 database-connection-manager

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Merge
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Tue, 06 Dec 2011 19:07:22 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % FQ2RI Convert frequency/Q pole/zero representation
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION: FQ2RI Convert frequency/Q pole/zero representation into:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % -Q=Nan: real pole/zero [output: ri]
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % -Q>0.5 real and imaginary conjugate pairs [ri conj(ri)]
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7 % -Q=0.5 two equal real poles [ri ri]
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8 % -Q<0.5 two real poles [ri ri]
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % CALL: ri= fq2ri(f0, Q)
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11 %
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12 % VERSION: $Id: fq2ri.m,v 1.10 2011/02/18 16:48:54 ingo Exp $
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13 %
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14 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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15
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16 function ri= fq2ri(f0, Q)
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17
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18 if(nargin==0)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 disp('usage: ri = fq2ri2(f0, Q)')
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20 return
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21 elseif(nargin==1 || nargin==2 && isnan(Q))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 ri = -((2*pi*f0));
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23 elseif(nargin==2 && Q>=0)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 if Q < 0.5
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 disp('!!! Q < 0.5! Splitting to two real poles/zeros;')
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26 a = 2*pi*f0/(2*Q)*(1+sqrt(1-4*Q^2));
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27 b = 2*pi*f0/(2*Q)*(1-sqrt(1-4*Q^2));
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28 ri = [a b];
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29 elseif Q == 0.5
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30 disp('!!! Q = 0.5! Returning two equal real poles/zeros;')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 w0 = 2*pi*f0;
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32 re = w0/(2*Q);
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33 ri = [re re];
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34 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 w0 = 2*pi*f0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 re = -w0/(2*Q);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 im = w0*sqrt(1-1/(4*Q^2));
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38 tri = complex(re,im);
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39 ri = [tri; conj(tri)];
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40 end
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41
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42 end
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