Mercurial > hg > ltpda

annotate m-toolbox/test/diagnostics/test_ltpda_arma_freq.m @ 16:91f21a0aab35 database-connection-manager

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Update utils.jquery * * * Update utils.jmysql.getsinfo
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 function test_ltpda_arma_freq()
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 % A test script for the ltpda_arma_freq function
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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 % miquel 25-02-08
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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 % $Id: test_ltpda_arma_freq.m,v 1.1 2008/03/04 12:55:05 miquel Exp $
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7 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 %% Make test AOs
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10
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 fs=1;
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12 nsecs=10000;
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13
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14 pl = plist();
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15 pl = append(pl, param('nsecs',nsecs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 pl = append(pl, param('fs',fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 pl = append(pl,param('tsfcn','(heaviside(t-1000.5)).*(1-(exp(-(t-1000.5)/300))+(exp(-(t-1000.5)/500)-1))'));
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18
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 ain = ao(pl);
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % Filter input time-series
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 pl = append(pl, param('type', 'highpass'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 pl = append(pl, param('ripple', 5e-1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 pl = append(pl, param('order', 1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 pl = append(pl, param('gain', 1e-1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 pl = append(pl, param('fc', 1e-3));
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27
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 f = miir(pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 [aout, fout] = filter(ain,plist(param('filter',f)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % Add independent noise to both channels
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 pn1 = plist('waveform', 'noise','type','Uniform','fs', fs, 'nsecs', nsecs);
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33 an1 = ao(pn1);
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34
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 ain = ain + 1e-4*an1;
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36
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 pn2 = plist('waveform', 'noise','type','Uniform','fs', fs, 'nsecs', nsecs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 an2 = ao(pn2);
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39
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 aout = aout + 1e-4*an2;
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41
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42
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 %% Fourier transform input varialbles
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44
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 % Initialise variables
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 in=ain.data.y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 out=aout.data.y;
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48
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % Fourier Transform
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 L=length(in);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 NFFT = 2^nextpow2(L); % Next power of 2 from length of y
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 NFFT=length(in);
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53
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 x_ = fft(in,NFFT)/L;
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55 y_ = fft(out,NFFT)/L;
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56
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57 x = 2*abs(x_(1:NFFT/2)); % single-sided amplitude spectrum.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 y = 2*abs(y_(1:NFFT/2)); % single-sided amplitude spectrum.
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59
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60 f = fs/2*linspace(0,1,NFFT/2)';
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61
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 Px=ao(fsdata(f,x,fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 Py=ao(fsdata(f,y,fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 %% Find ARMA parameters for the transfer function
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66
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 % Parameter list for ltpda_arma_freq
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 pl = append(pl, param('MaxIter',1e3));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 pl = append(pl, param('MaxFunEvals',1e3));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 pl = append(pl, param('TolX',1e-7));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 pl = append(pl, param('TolFun',1e-7));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 pl = append(pl, param('ARMANum',2));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 pl = append(pl, param('ARMADen',1));
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74
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 % Use ltpda_arma_freq
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 ao_arma = ltpda_arma_freq(ain, aout, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 disp(sprintf('\r! Filter parameters:\r'))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 disp(sprintf('%d\t', fout.a,fout.b(2:length(fout.b))))
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80 disp(sprintf('\r! Estimated parameters:\r'))
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81 disp(sprintf('%d\t',ao_arma.data.y(1:length(ao_arma.data.y)-1)))
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82
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 %% Compute fitted output
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 p = find(pl, 'ARMANum');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 q = find(pl, 'ARMADen');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 % Compute time domain fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 flt = miir([ao_arma.data.y(1:p)],[1 ao_arma.data.y(p+1:p+q)],find(pl,'fs'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 [afit, ffit] = filter(ain,plist(param('filter',flt)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 % Compute frequency domain fit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 % [Pfit, Pf] = filter(Px,plist(param('filter',f))); % problems with ao.filter
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 yfit= freqfun([ao_arma.data.y(1:p)],[1 ao_arma.data.y(p+1:p+q)],x,f,fs); % using adhoc function
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 Pfit=ao(fsdata(f,yfit,fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 % Plot time domain
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 iplot(ain,aout,afit,plist('Legends', {'Input','Output','Fit'}))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 % Plot frequency domain
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 iplot(Px,Py,Pfit,plist('Legends', {'Input','Output','Fit'}))
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101
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 % Plot history
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 figure
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 plot(ao_arma.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 %% Reproduce from history
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 % Write an m-file from AO
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 ao2m(ao_arma, 'ltpda_test.m');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 % now run it
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 clear all;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 a_out = ltpda_test;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 % iplot(a_out)
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117
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 figure
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 plot(a_out.hist)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 %% Delete test files
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122 delete('ltpda_test.m');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 % Compute filter
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 function F= freqfun(ps,qs,xdata,f,fs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 Hnum=0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 Hden=0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 for j = 1:length(ps)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 Hnum = Hnum+ps(j)*exp(-(j-1)*i*2*pi*f/fs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 for j = 1:length(qs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 Hden = Hden+qs(j)*exp(-(j-1)*i*2*pi*f/fs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 F=abs(Hnum./Hden).*xdata;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136
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137
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138