annotate m-toolbox/test/test_ao_noisegen2D.m @ 0:f0afece42f48

Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % A test script for ao/noisegen2D
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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 % DESCRIPTION: Run noisegen2D with test data and test procedure accuracy
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % L. Ferraioli 10-11-08
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % $Id: test_ao_noisegen2D.m,v 1.9 2010/05/03 19:04:45 luigi Exp $
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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
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 %% General use variables and vectors
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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 userdir = 'C:\Users\Luigi'; % You should set your own dir
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 f = logspace(-6,log10(5),300);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 fs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 Nt = fs*10000;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 %% Make white noise
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 a1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', 10, 'nsecs', 1e5));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 a2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', 10, 'nsecs', 1e5));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 a = [a1 a2];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %% CSD Noise models
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 fundir = fullfile(userdir,'ltp_data_analysis\MDCs\MDC1_UTN');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 cf = cd;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 cd(fundir);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 [TF,CSD] = mdc1_tf_models(plist('f',f,'fs',fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 cd(cf);
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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 %% Input data psd
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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 a1xx = a1.psd;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 a2xx = a2.psd;
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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 %% Making csd of input data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 pl = plist('Nfft', Nt);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 iCSD = cpsd(a,pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 %% plot input data psd
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 iplot(a1xx,a2xx)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 %% Plot Model Tfs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 iplot(TF(1,1),TF(1,2),TF(2,1),TF(2,2))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 %% Plot Model CSD
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 iplot(CSD(1,1),CSD(1,2),CSD(2,1),CSD(2,2))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 %% Noise generation
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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 pl = plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 'csd11', CSD(1,1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 'csd12', CSD(1,2), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 'csd21', CSD(2,1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 'csd22', CSD(2,2), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 'MaxIter', 80, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 'PoleType', 2, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 'MinOrder', 15, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 'MaxOrder', 45, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 'Weights', 3, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 'FITTOL', 1e-3,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 'MSEVARTOL', 1e-1,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 'UseSym', 0,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 'Plot', false,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 'Disp', false);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 ac = noisegen2D(a, pl);
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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 %% Checking results and starting data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 % iplot(a)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 iplot(ac)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 %% Making cross-spectrum
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 % acxx = ac.cpsd;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 plpsd = plist('navs',2,'order',1,'olap',50);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 acxx1 = ac(1).psd(plpsd);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 acxx2 = ac(2).psd(plpsd);
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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 iplot(acxx1,CSD(1,1),acxx2,CSD(2,2))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 %% Plotting spectra
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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 % iplot(acxx);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 iplot(acxx(1,1),CSD(1,1))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 iplot(abs(acxx(1,2)),abs(CSD(1,2)))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 iplot(acxx(2,2),CSD(2,2))
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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 %%
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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 m1=mean(acxx(2,2).data.y(end-10,end)) % calculate average on the tail of channel 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 m2=mean(CSD(2,2).data.y(end-5,end))% calculate average on the tail of channel 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 m1/m2 % verify that the ratio is near 1
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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 %%
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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 % Some more analysis for testing the accuracy of noise generation procedure
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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
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 %% Extracting filters from data
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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 Filt11 = find(ac(1).procinfo,'FILT11');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 Filt12 = find(ac(1).procinfo,'FILT12');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 Filt21 = find(ac(2).procinfo,'FILT21');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 Filt22 = find(ac(2).procinfo,'FILT22');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 %% Calculating filters responses
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 tr11 = resp(Filt11,plist('f',f));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 rFilt11 = tr11(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 for ii = 2:numel(tr11)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 rFilt11 = rFilt11 + tr11(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122 rFilt11.setName('rFilt11', 'internal');
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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 tr12 = resp(Filt12,plist('f',f));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 rFilt12 = tr12(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 for ii = 2:numel(tr12)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 rFilt12 = rFilt12 + tr12(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 rFilt12.setName('rFilt12', 'internal');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 tr21 = resp(Filt21,plist('f',f));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 rFilt21 = tr21(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 for ii = 2:numel(tr21)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 rFilt21 = rFilt21 + tr21(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 rFilt21.setName('rFilt21', 'internal');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138 tr22 = resp(Filt22,plist('f',f));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 rFilt22 = tr22(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 for ii = 2:numel(tr22)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 rFilt22 = rFilt22 + tr22(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143 rFilt22.setName('rFilt22', 'internal');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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144
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 %% Obtaining transfer functions
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 % calculating transfer functions from data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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148 pl = plist('Nfft', Nt);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 etf11 = tfe(a(1),ac(1),pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150 etf12 = tfe(a(2),ac(1),pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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151 etf21 = tfe(a(1),ac(2),pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 etf22 = tfe(a(2),ac(2),pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 %% Comparing Filters Responses with estimated TFs (e-TFs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155
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Daniele Nicolodi <nicolodi@science.unitn.it>
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156 % Comparing filters responses and calculated TFs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 pl = plist('Legends', {'Filter Response','e-TF'});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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158 iplot(rFilt11,etf11,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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159 iplot(rFilt12,etf12,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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160 iplot(rFilt21,etf21,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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161 iplot(rFilt22,etf22,pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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162
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Daniele Nicolodi <nicolodi@science.unitn.it>
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163 %% Comparing starting TFs (s-TFs) with estimated TFs
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165 pl = plist('Legends', {'s-TF','e-TF'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 iplot(TF(1,1),etf11/sqrt(fs))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 iplot(TF(1,2),etf12/sqrt(fs))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 iplot(TF(2,1),etf21/sqrt(fs))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169 iplot(TF(2,2),etf22/sqrt(fs))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 %% Building CSD from estimated TFs (e-TFs)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 % Output CSD is obtained as
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 % eCSD = [TF11 TF12;TF21 TF22]*iCSD*[TF11 TF12;TF21 TF22]'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175 eCSD = [etf(1,3) etf(2,3);etf(1,4) etf(2,4)]*iCSD*[etf(1,3) etf(2,3);etf(1,4) etf(2,4)]';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177 ecsd11 = eCSD(1,1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 ecsd12 = eCSD(1,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179 ecsd22 = eCSD(2,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 % ecsd11 = etf(1,3).*conj(etf(1,3))+etf(2,3).*conj(etf(2,3));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182 % ecsd12 = etf(1,3).*conj(etf(1,4))+etf(2,3).*conj(etf(2,4));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 % ecsd22 = etf(2,4).*conj(etf(2,4))+etf(1,4).*conj(etf(1,4));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 %% Comparing original CSD with e-TFs CSD
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 pl = plist('Legends', {'Original CSD','e-TF CSD'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188 iplot(abs(CSD(1,1)),ecsd11/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 iplot(abs(CSD(1,2)),ecsd12/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 iplot(abs(CSD(2,2)),ecsd22/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192 %% Filtering data separately
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 % This operation is performed internally to the noisegen2D. Output data are
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 % then obtained by b1 = b11 + b12 and b2 = b21 + b22
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 b11 = filter(a1,plist('filter',Filt11,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 b12 = filter(a2,plist('filter',Filt12,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 b21 = filter(a1,plist('filter',Filt21,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 b22 = filter(a2,plist('filter',Filt22,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201 %% Extracting transfer functions from separately filtered data
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203 pl = plist('Nfft', Nt);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204 etf11 = tfe(a1,b11,pl);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 etf12 = tfe(a2,b12,pl);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 etf21 = tfe(a1,b21,pl);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
207 etf22 = tfe(a2,b22,pl);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
209 %% Comparing separately-estimated TFs (se-TFs) with filter responses
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
211 pl = plist('Legends', {'Filter Response','se-TF'});
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212 iplot(rFilt11,etf11,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
213 iplot(rFilt12,etf12,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
214 iplot(rFilt21,etf21,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
215 iplot(rFilt22,etf22,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
216
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
217 %% Building CSD from se-TFs
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
218
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
219 % Output CSD is obtained as
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
220 % eCSD = [TF11 TF12;TF21 TF22]*iCSD*[TF11 TF12;TF21 TF22]'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
221 seCSD = [etf11 etf12;etf21 etf22]*iCSD*[etf11 etf12;etf21 etf22]';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
222
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
223 secsd11 = seCSD(1,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224 secsd12 = seCSD(1,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
225 secsd22 = seCSD(2,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
226
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
227 % secsd11 = etf11(1,2).*conj(etf11(1,2))+etf12(1,2).*conj(etf12(1,2));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
228 % secsd12 = etf11(1,2).*conj(etf21(1,2))+etf12(1,2).*conj(etf22(1,2));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
229 % secsd22 = etf22(1,2).*conj(etf22(1,2))+etf21(1,2).*conj(etf21(1,2));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231 %% Comparing original CSD with e-TFs CSD
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
232
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
233 pl = plist('Legends', {'Original CSD','se-TF CSD'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234 iplot(CSD(1,1),secsd11/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
235 iplot(CSD(1,2),secsd12/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236 iplot(CSD(2,2),secsd22/(fs),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
238 %% Comparing filters with TFs obtained by eigendecomposition
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
239
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
240 % This function output transfer functions as they are obtained by the
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
241 % eigendecomposition process. i.e. before the fitting process
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
242
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
243 icsd11 = CSD(1,1).data.y*fs/2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
244 icsd12 = CSD(1,2).data.y*fs/2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
245 icsd21 = CSD(2,1).data.y*fs/2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
246 icsd22 = CSD(2,2).data.y*fs/2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
247
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
248 [tf11,tf12,tf21,tf22] = utils.math.eigcsd(icsd11,icsd12,icsd21,icsd22,'USESYM',0,'DIG',50,'OTP','TF');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
249
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
250 % Making AOs
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
251 eigtf11 = ao(fsdata(f,tf11,fs));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
252 eigtf12 = ao(fsdata(f,tf12,fs));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
253 eigtf21 = ao(fsdata(f,tf21,fs));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
254 eigtf22 = ao(fsdata(f,tf22,fs));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
255
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
256 %% Comparing eig-TFs with output filters
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
257
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
258 % Compare TFs before and after the fitting process
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
259
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
260 pl = plist('Legends', {'eig-TF','Filter Response'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
261 iplot(eigtf11,rFilt11,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
262 iplot(eigtf12,rFilt12,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
263 iplot(eigtf21,rFilt21,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
264 iplot(eigtf22,rFilt22,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
265
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
266 %% Phase difference between eig-TFs and output filters
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
267
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
268 % checking that phase differences between TFs are preserved by the fitting
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
269 % process
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
270 eigph1 = unwrap(angle(eigtf11)-angle(eigtf21));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
271 filtph1 = unwrap(angle(rFilt11)-angle(rFilt21));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
272 eigph2 = unwrap(angle(eigtf22)-angle(eigtf12));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
273 filtph2 = unwrap(angle(rFilt22)-angle(rFilt12));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
274
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
275 pl = plist('Legends',{'eig-TF \Delta\phi','Filter \Delta\phi'},'YScales',{'All','lin'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
276 iplot(eigph1,filtph1+2*pi,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
277 iplot(eigph2,filtph2+2*pi,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
278
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
279 %% Comparing eig-TFs with se-TFs
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
280
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
281 % Compare eigendecomposition results with separately estimated TFs (se-TFs)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
282 pl = plist('Legends', {'eig-TF','se-TF'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
283 iplot(eigtf11,etf11(1,2),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
284 iplot(eigtf12,etf12(1,2),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
285 iplot(eigtf21,etf21(1,2),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
286 iplot(eigtf22,etf22(1,2),pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
287
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
288 %% Phase difference between eig-TFs and se-TFs
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
289
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290 % checking that phase differences between TFs are preserved by the fitting
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
291 % process also for the filtered data (se-TFs)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
292 eigph1 = unwrap(angle(eigtf11)-angle(eigtf21));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
293 filtph1 = unwrap(angle(etf11(1,2))-angle(etf21(1,2)));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
294 eigph2 = unwrap(angle(eigtf22)-angle(eigtf12));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
295 filtph2 = unwrap(angle(etf22(1,2))-angle(etf12(1,2)));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
297 pl = plist('Legends',{'eig-TF \Delta\phi','se-TF \Delta\phi'},'YScales',{'All','lin'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
298 iplot(eigph1,filtph1+2*pi,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 iplot(eigph2,filtph2,pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
301 % END