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annotate m-toolbox/classes/+utils/@math/pfallps.m @ 0:f0afece42f48

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Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
parents
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0
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % PFALLPS all pass filtering in order to stabilize TF poles and zeros.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % All pass filtering in order to stabilize transfer function poles and
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % zeros. It inputs a partial fraction expanded discrete model and
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 % outputs a pole-zero minimum phase system
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % CALL:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % [resp,np] = pfallps(ir,ip,id,mresp,f)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 % [resp,np] = pfallps(ir,ip,id,mresp,f,minphase)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % [resp,np,nz] = pfallps(ir,ip,id,mresp,f,minphase)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % INPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % ir: are residues
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % ip: are poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % id: is direct term
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % f: is the frequancies vector in (Hz)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % minphase: is a flag assuming true (output a minimum phase system) or
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % false (output a stable non minimum phase system) values. Default,
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % true
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % OUTPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 % resp: is the minimum phase frequency response
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % np: are new stable poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % nz: are new stable zeros, this will be set only if minphase is set to
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % false
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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 % NOTE:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % This function make use of signal analysis toolbox functions
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % VERSION: $Id: pfallps.m,v 1.7 2008/12/22 18:44:42 luigi Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 % HISTORY: 12-09-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 function varargout = pfallps(ir,ip,id,mresp,f,varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 % Reshaping
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 [a,b] = size(ir);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 if a<b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 ir = ir.'; % reshape as a column vector
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 [a,b] = size(ip);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 if a<b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 ip = ip.'; % reshape as a column vector
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 [a,b] = size(f);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 if a<b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 f = f.'; % reshape as a column vector
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 [a,b] = size(id);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 if a > b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 id = id.'; % reshape as a row
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 id = id(1,:); % taking the first row (the function can handle only simple constant direct terms)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 if nargin == 6
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 minphase = varargin{1};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 minphase = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 % stabilizing poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 sp = p;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 unst = real(sp) > 0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 sp(unst) = -1*conj(sp(unst));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 [Na,Nb] = size(r);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 for nn = 1:Nb
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 s = 1i.*2.*pi.*f;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 pp = p(unst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 psp = sp(unst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 for ii = 1:length(s)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 nterm = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 for jj = 1:length(sp(unst))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 nterm = nterm.*(s(ii)-pp(jj))./(s(ii)-psp(jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 phs(ii,1) = angle(nterm);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 resp(:,nn) = mresp(:,nn).*(cos(phs)+1i.*sin(phs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 % output stable poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 np(:,nn) = sp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 if minphase
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 % finding zeros
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 [num,den] = residue(r,p,d);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 zrs = roots(num);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 % stabilizing zeros
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 szrs = zrs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 zunst = abs(zrs) > 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 szrs(zunst) = 1./conj(zrs(zunst));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 zzrs = zrs(zunst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 zszrs = szrs(zunst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 for ii = 1:length(s)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 nterm = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 for jj = 1:length(szrs(zunst))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 nterm = nterm.*(s(ii)-zszrs(jj))./(s(ii)-zzrs(jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 zphs(ii,1) = angle(nterm);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 resp(:,nn) = resp(:,nn).*(cos(zphs)+1i.*sin(zphs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122 % output stable zeros
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123 nz(:,nn) = szrs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 % output
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 if nargout == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 varargout{1} = resp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 elseif nargout == 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 varargout{1} = resp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 varargout{2} = np;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 elseif (nargout == 3) && minphase
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 varargout{1} = resp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 varargout{2} = np;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 varargout{3} = nz;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 error('Too many output arguments!')
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 end