Mercurial > hg > ltpda

annotate m-toolbox/classes/+utils/@math/pfallpsymz2.m @ 19:69e3d49b4b0c database-connection-manager

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Update ltpda_uo.fromRepository
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % PFALLPSYMZ2 all pass filtering 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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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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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % CALL:
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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % resp= pfallpz2(ip,mresp,f,fs)
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13 %
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14 % INPUTS:
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15 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % ip: is a struct with fields named poles
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17 % mresp: is a vector with functions response
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % f: is the frequancies vector in (Hz)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % fs: is the sampling frequency in (Hz)
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20 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % OUTPUTS:
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22 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % resp: is the stable functions frequency response
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24 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 % NOTE:
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26 %
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27 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 % VERSION: $Id: pfallpz.m,v 1.6 2009/06/10 15:47:00 luigi Exp $
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29 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % HISTORY: 12-09-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % Creation
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32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 function varargout = pfallpsymz2(ip,mresp,f,fs)
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34
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35 [a,b] = size(ip);
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36 if a<b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 ip = ip.'; % reshape as a column vector
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38 end
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39
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40 [a,b] = size(f);
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41 if a<b
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42 f = f.'; % reshape as a column vector
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43 end
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44
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 if isempty(fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 fs = 1;
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47 end
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48 [a,b] = size(fs);
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49 if a ~= b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 disp(' Fs has to be a number. Only first term will be considered! ')
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51 fs = fs(1);
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52 end
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53
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54
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55 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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56 Nb = numel(ip);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 for nn = 1:Nb
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58
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59 p = ip(nn).poles;
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60
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61 % stabilizing poles
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62 sp = sym(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 unst = abs(p) > 1;
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64 sp(unst) = conj(sp(unst));
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65
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66 pp = sym(p(unst));
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67 psp = sp(unst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 syms z
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 allpsym = 1;
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70 for jj=1:numel(psp)
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71 allpsym = allpsym.*((z-pp(jj))./(z*psp(jj)-1));
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72 end
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73 funcell{nn} = allpsym;
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74
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75 end
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76
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77 fullallprsp = 1;
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78
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79 for nn = 1:Nb
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80 symexpr = funcell{nn};
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81 nterm = subs(symexpr,z,cos((2*pi/fs).*f) + 1i.*sin((2*pi/fs).*f));
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82 % willing to work with columns
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 if size(nterm,2)>1
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84 nterm = nterm.';
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85 end
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86
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87 fullallprsp = fullallprsp.*nterm;
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88
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89 end
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90
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91 % dballprsp = double(fullallprsp);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 % rallp = real(dballprsp);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 % iallp = imag(dballprsp);
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94 % ang = angle(dballprsp);
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95
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 for kk=1:Nb
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97 sresp(:,kk) = mresp(:,kk).*fullallprsp;
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98 % resp(:,kk) = mresp(:,kk).*(cos(ang)+1i.*sin(ang));
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99 end
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100
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101 for kk=1:Nb
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102 resp(:,kk) = double(sresp(:,kk));
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103 end
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104
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105
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106 % output
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 if nargout == 1
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108 varargout{1} = resp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 error('Too many output arguments!')
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111 end
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112 end
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113
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114
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115
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