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annotate m-toolbox/classes/+utils/@math/pfallpsyms2.m @ 24:056f8e1e995e database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % PFALLPSYMS2 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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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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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % resp= pfallpsyms2(ip,mresp,f,fs)
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13 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % INPUTS:
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15 %
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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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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 = pfallpsyms2(ip,mresp,f)
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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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45
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46 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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47 Nb = numel(ip);
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48 for nn = 1:Nb
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49
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50 p = ip(nn).poles;
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51
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52 % stabilizing poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 sp = sym(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 unst = real(p) > 0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 sp(unst) = conj(sp(unst));
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56
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57 pp = sym(p(unst));
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58 psp = sp(unst);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 syms s
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 allpsym = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 for jj=1:numel(psp)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 allpsym = allpsym.*((s-pp(jj))./(s+psp(jj)));
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63 end
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64 funcell{nn} = allpsym;
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65
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66 end
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67
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68 fullallprsp = 1;
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69
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70 for nn = 1:Nb
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71 symexpr = funcell{nn};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 nterm = subs(symexpr,s,(1i*2*pi).*f);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 % willing to work with columns
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 if size(nterm,2)>1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 nterm = nterm.';
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76 end
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77
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78 fullallprsp = fullallprsp.*nterm;
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79
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80 end
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81
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82 % rallp = real(fullallprsp);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 % iallp = imag(fullallprsp);
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84 % ang = atan(iallp./rallp);
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85
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86 for kk=1:Nb
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87 sresp(:,kk) = mresp(:,kk).*fullallprsp;
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88 % sresp(:,kk) = mresp(:,kk).*(cos(ang)+1i.*sin(ang));
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89 end
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90
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91 for kk=1:Nb
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92 resp(:,kk) = double(sresp(:,kk));
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93 end
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94
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95
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96 % output
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97 if nargout == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 varargout{1} = resp;
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99 else
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100 error('Too many output arguments!')
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101 end
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102 end
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103
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104
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105
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106