Mercurial > hg > ltpda

annotate m-toolbox/test/test_matrix_MultiChannelNoise_2.m @ 0:f0afece42f48

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 % TEST matrix/MultiChannelNoise
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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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % HISTORY: 23-04-2009 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 %% VERSION
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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 '$Id: test_matrix_fromCSD.m,v 1.3 2009/04/23 16:03:55 luigi Exp $';
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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 %% Loading spectra
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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 fs = 10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 f = [logspace(-6,log10(fs/2),2000)]';
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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 % currPath = cd;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % cd MDC1 % assuming to start from ..\ltpda\software\m-toolbox\test
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % [TF,CSD] = mdc1_tf_models(plist('f',f,'fs',fs));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % cd(currPath)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % get noise psd shapes
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % parameters names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 parnames = {'DH','S11','S1D','SD1','SDD','Dh1','Dh2','w1','w2',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 'TH','Th1','Th2'};
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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 % nominal params values
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 parvalues = {1,1,0,-1e-4,1,1,1,-1.3e-6,-2.0e-6,0.35,0.25,0.28};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % Noise model
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 Ns = matrix(plist('built-in','mdc3_ifo2ifo_noise'));
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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 % evalueat model
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 [rw,cl]=size(Ns.objs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 for ii=1:rw
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 for jj=1:cl
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 Ns.objs(ii,jj).setParams(parnames,parvalues);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 Ns.objs(ii,jj).setXvals(f);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 CSD(ii,jj)=eval(Ns.objs(ii,jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 if ii==jj
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 CSD(ii,jj)= abs(CSD(ii,jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 end
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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 %% Plot
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 plpl = plist('Linecolors', {'k', 'r', 'b'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 'LineStyles', {'-', '--', ':'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 'LineWidths', {3, 3, 3},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 'Legends', {'S_{o_1 o_1}', 'S_{o_1 o_\Delta}', 'S_{o_\Delta o_\Delta}'});
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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 iplot(CSD(1,1),CSD(1,2),CSD(2,2),plpl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55
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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 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 % 2 Dimensional Noisegen Filter
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60
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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 %% 2 dim noisegen filter in z domain - symbolic precision All pass
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 % plist for noise generation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 plns = plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 'csd', CSD, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 'targetobj', 'miir', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 'fs', fs, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 'MaxIter', 70, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 'PoleType', 3, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 'MinOrder', 25, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 'MaxOrder', 55, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 'Weights', 2, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 'Plot', false,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 'MSEVARTOL', 1e-1,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 'FITTOL', 1e-4,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 'UseSym', 'on',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 'iunits', 'm',...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 'ounits', 'm');
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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 = matrix(plns);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 %% Check response of CSD
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 na11 = resp(na.objs(1,1).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 na12 = resp(na.objs(1,2).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 na21 = resp(na.objs(2,1).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 na22 = resp(na.objs(2,2).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 mna = matrix([na11 na12;na21 na22]);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 ECSD = mna*conj(transpose(mna));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 for kk = 1:numel(CSD)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 CSD(kk).setYunits((unit('m')^2)*(unit('Hz')^-1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 CSD(kk).setXunits(unit('Hz'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 ECSD.objs(kk).setYunits((unit('m')^2)*(unit('Hz')^-1));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 ECSD.objs(kk).setXunits(unit('Hz'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 % calculate cross-coherence
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 COH = CSD(1,2)./sqrt(CSD(1,1).*CSD(2,2));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 COH.simplifyYunits;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 RCOH = real(COH);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 ICOH = imag(COH);
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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 ECOH = ECSD.objs(1,2)./sqrt(ECSD.objs(1,1).*ECSD.objs(2,2));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 ECOH.simplifyYunits;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 RECOH = real(ECOH);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 IECOH = imag(ECOH);
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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 % set plist for plotting
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 plpl = plist('Linecolors', {'k', 'r', 'b'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 'LineStyles', {'-', '--', ':'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 'LineWidths', {3, 3, 3},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 'Legends', {'Model', 'Fit', 'Residuals'});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 iplot(CSD(1,1),ECSD.objs(1,1),abs(CSD(1,1)-ECSD.objs(1,1)),plpl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 iplot(CSD(2,2),ECSD.objs(2,2),abs(CSD(2,2)-ECSD.objs(2,2)),plpl)
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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 plpl = plist('Linecolors', {'k', 'r', 'b'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 'LineStyles', {'-', '--', ':'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 'LineWidths', {3, 3, 3},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 'Legends', {'Model', 'Fit', 'Residuals'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 'Yscales', {'All', 'lin'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 'Ylabels', {'All', 'Re(coh)'});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 iplot(RCOH,RECOH,abs(RCOH-RECOH),plpl)
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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 plpl = plist('Linecolors', {'k', 'r', 'b'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 'LineStyles', {'-', '--', ':'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 'LineWidths', {3, 3, 3},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 'Legends', {'Model', 'Fit', 'Residuals'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 'Yscales', {'All', 'lin'},...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 'Ylabels', {'All', 'Im(coh)'});
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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>
parents:
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138 iplot(ICOH,IECOH,abs(ICOH-IECOH),plpl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140 %% Check response of Filters
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 % na11 = resp(na.objs(1,1).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 % na12 = resp(na.objs(1,2).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 % na21 = resp(na.objs(2,1).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145 % na22 = resp(na.objs(2,2).filters,plist('f',f,'bank','parallel'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 % iplot(TF(1,1),na11,abs(TF(1,1) - na11))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 % iplot(TF(1,2),na12,abs(TF(1,2) - na12))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 % iplot(TF(2,1),na21,abs(TF(2,1) - na21))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151 % iplot(TF(2,2),na22,abs(TF(2,2) - na22))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153 iplot(na11,na12,na21,na22)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
156 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
157 % 2 Dimensional Noise Generation
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
158 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
159 nsecs = 3e5;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 plng = plist(...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
161 'model', na,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 'Nsecs', nsecs,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
163 'fs', fs,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164 'yunits', 'm');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 no = matrix(plng);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 %% Check psd
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170 no1 = no.objs(1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 no2 = no.objs(2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 no1xx = no1.psd;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 no2xx = no2.psd;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176 iplot(no1xx,csd11,no2xx,csd22)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 %% Check cross-coherence
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180 no1 = no.objs(1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 no2 = no.objs(2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182 nfft = 6e4;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184 no12xx = cpsd(no1,no2,plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 no1xx = no1.psd(plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186 no2xx = no2.psd(plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 ecoh = no12xx./(sqrt(no1xx.*no2xx));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 recoh = real(ecoh);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 iecoh = imag(ecoh);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193 iplot(recoh,RECOH,plist('Yscales',{'All','lin'}))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 iplot(iecoh,IECOH,plist('Yscales',{'All','lin'}))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 %% Get averaged noise spectral curves
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 N = 500;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 nsecs = 3e5;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200 nfft = 6e4;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202 Mnxx1 = 0; Mn2xx1 = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203 Mnxx2 = 0; Mn2xx2 = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 Mnxy1 = 0; Mn2xy1 = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 Mnxy2 = 0; Mn2xy2 = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
207
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208 tic
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
209 for ii = 1:N
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
211 fprintf('===== iter %s =====\n',num2str(ii))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
213 % noise generation
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
214 plng = plist(...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
215 'model', na,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
216 'Nsecs', nsecs,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
217 'fs', fs,...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
218 'yunits', 'm');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
219
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
220 no = matrix(plng);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
221
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
222 % periodogram calculation
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
223 no1 = no.objs(1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224 no2 = no.objs(2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
225
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
226 no1xx = no1.psd;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
227 no2xx = no2.psd;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
228 f1 = no1xx.x;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
229
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230 % running average and variance for periodogram
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231 if ii == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
232 Mnxx1 = no1xx.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
233 Mnxx2 = no2xx.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
235 % Qxx1 = no1xx.y - Mnxx1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236 Mnxx1 = Mnxx1 + (no1xx.y - Mnxx1)./ii;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237 Mn2xx1 = Mn2xx1 + (no1xx.y - Mnxx1).*(no1xx.y - Mnxx1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
238
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
239 % Qxx2 = no2xx.y - Mnxx2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
240 Mnxx2 = Mnxx2 + (no2xx.y - Mnxx2)./ii;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
241 Mn2xx2 = Mn2xx2 + (no2xx.y - Mnxx2).*(no2xx.y - Mnxx2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
242 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
243 clear no1xx no2xx
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
244
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
245
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
246 % cross coherence calculation
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
247 no12xx = cpsd(no1,no2,plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
248 no1xx2 = no1.psd(plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
249 no2xx2 = no2.psd(plist('nfft',nfft));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
250 f2 = no1xx2.x;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
251
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
252 ecoh = (no12xx.y)./(sqrt((no1xx2.y).*(no2xx2.y)));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
253 recoh = real(ecoh);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
254 iecoh = imag(ecoh);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
255
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
256 clear no12xx no1xx2 no2xx2
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
257 % running average and variance for cross coherence
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
258 if ii == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
259 Mnxy1 = recoh;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
260 Mnxy2 = iecoh;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
261 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
262 % Qxy1 = recoh - Mnxy1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
263 Mnxy1 = Mnxy1 + (recoh - Mnxy1)./ii;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
264 Mn2xy1 = Mn2xy1 + (recoh - Mnxy1).*(recoh - Mnxy1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
265
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
266 % Qxy2 = iecoh - Mnxy2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
267 Mnxy2 = Mnxy2 + (iecoh - Mnxy2)./ii;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
268 Mn2xy2 = Mn2xy2 + (iecoh - Mnxy2).*(iecoh - Mnxy2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
269 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
270
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
271 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
272 toc
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
273
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
274 % get mean and variance for psd 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
275 Sxx1 = Mnxx1; % mean
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
276 if N == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
277 Svxx1 = Sxx1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
278 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
279 Svxx1 = (Mn2xx1/(N-1))/N; % variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
280 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
281 % get mean and variance for psd 2
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
282 Sxx2 = Mnxx2; % mean
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
283 if N == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
284 Svxx2 = Sxx2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
285 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
286 Svxx2 = (Mn2xx2/(N-1))/N; % variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
287 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
288 % get mean and variance for real part of cross coherence
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
289 Sxy1 = Mnxy1; % mean
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290 if N == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
291 Svxy1 = Sxy1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
292 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
293 Svxy1 = (Mn2xy1/(N-1))/N; % variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
294 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
295 % get mean and variance for imaginary part of cross coherence
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296 Sxy2 = Mnxy2; % mean
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
297 if N == 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
298 Svxy2 = Sxy2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300 Svxy2 = (Mn2xy2/(N-1))/N; % variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
301 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
302
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
303 % save results
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
304
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
305 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx1.mat','Sxx1')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
306 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx1.mat','Svxx1')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
307 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx2.mat','Sxx2')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
308 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx2.mat','Svxx2')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
309 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxy1.mat','Sxy1')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
310 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxy1.mat','Svxy1')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
311 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxy2.mat','Sxy2')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
312 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxy2.mat','Svxy2')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
313 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\f1.mat','f1')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
314 save('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\f2.mat','f2')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
315 save(na,'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\na.mat')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
316
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
317 %% Load saved data
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
318
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
319 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
320 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
321 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
322 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
323 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxy1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
324 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxy1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
325 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxy2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
326 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxy2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
327 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\f1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
328 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\f2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
329
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
330 %% Plot spectra
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
331
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
332 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
333
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
334 p22 = loglog(f1(1:end-1),Sxx1(1:end-1) + sqrt(Svxx1(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
335 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
336 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
337 p23 = loglog(f1(1:end-1),Sxx1(1:end-1) - sqrt(Svxx1(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
338 p21 = loglog(f1(1:end-1),Sxx1(1:end-1),'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
339
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
340 p11 = loglog(ECSD.objs(1,1).x,ECSD.objs(1,1).y,'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
341
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
342
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
343 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
344 ylabel('amplitude [m^2 Hz^{-1}]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
345 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
346
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
347 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
348
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
349 p22 = loglog(f1(1:end-1),Sxx2(1:end-1) + sqrt(Svxx2(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
350 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
351 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
352 p23 = loglog(f1(1:end-1),Sxx2(1:end-1) - sqrt(Svxx2(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
353 p21 = loglog(f1(1:end-1),Sxx2(1:end-1),'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
354
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
355 p11 = loglog(ECSD.objs(2,2).x,ECSD.objs(2,2).y,'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
356
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
357
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
358 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
359 ylabel('amplitude [m^2 Hz^{-1}]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
360 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
361
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
362
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
363 %% Plot coherence
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
364
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
365 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
366
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
367 p22 = semilogx(f2,Sxy1 + sqrt(Svxy1),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
368 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
369 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
370 p23 = semilogx(f2,Sxy1 - sqrt(Svxy1),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
371 p21 = semilogx(f2,Sxy1,'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
372
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
373 p11 = semilogx(RECOH.x,RECOH.y,'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
374
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
375
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
376 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
377 ylabel('Re(coh) []','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
378 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
379
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
380 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
381
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
382 p22 = semilogx(f2,Sxy2 + sqrt(Svxy2),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
383 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
384 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
385 p23 = semilogx(f2,Sxy2 - sqrt(Svxy2),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
386 p21 = semilogx(f2,Sxy2,'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
387
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
388 p11 = semilogx(IECOH.x,IECOH.y,'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
389
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
390
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
391 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
392 ylabel('Im(coh) []','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
393 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
394
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
395 %% Check response of CSD
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
396
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
397 currPath = cd;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
398 cd MDC1 % assuming to start from ..\ltpda\software\m-toolbox\test
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
399 [TF,CSD] = mdc1_tf_models(plist('f',f1,'fs',fs));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
400 cd(currPath)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
401
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
402 na11 = resp(na.objs(1,1).filters,plist('f',f1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
403 na12 = resp(na.objs(1,2).filters,plist('f',f1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
404 na21 = resp(na.objs(2,1).filters,plist('f',f1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
405 na22 = resp(na.objs(2,2).filters,plist('f',f1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
406
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
407 mna = matrix([na11 na12;na21 na22]);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
408
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
409 ECSD = mna*conj(transpose(mna));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
410
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
411 for kk = 1:numel(CSD)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
412 CSD(kk).setYunits((unit('m')^2)*(unit('Hz')^-1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
413 CSD(kk).setXunits(unit('Hz'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
414 ECSD.objs(kk).setYunits((unit('m')^2)*(unit('Hz')^-1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
415 ECSD.objs(kk).setXunits(unit('Hz'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
416 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
417
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
418 plpl = plist('Linecolors', {'k', 'r', 'b'},...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
419 'LineStyles', {'-', '--', ':'},...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
420 'LineWidths', {3, 3, 3},...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
421 'Legends', {'Model', 'Fit', 'Residuals'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
422
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
423 iplot(CSD(1,1),ECSD.objs(1,1),abs(CSD(1,1)-ECSD.objs(1,1)),plpl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
424 iplot(CSD(2,2),ECSD.objs(2,2),abs(CSD(2,2)-ECSD.objs(2,2)),plpl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
425
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
426 %% get expected response + window
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
427
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
428 % we should considere that the window has a spectral response that can add
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
429 % some systematics inside our spectral estimations. Since the window is a
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
430 % product in time domain with the time series, that it corresponds to a
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
431 % convolution in frequency domain. We can ifft the frequency response of
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
432 % the filters, multiply in time domain for the window and then come back to
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
433 % freq domain by fft.
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
434 na = matrix('C:\Users\Luigi\Lavori\ltp_noisegen\matlab\na.mat');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
435 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
436 % filter responses
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
437 fs = 10;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
438 nsecs = 3e5;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
439 nfft = nsecs.*fs;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
440 ff1 = (0:floor(nfft/2)).*fs./nfft;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
441
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
442 rsp11 = resp(na.objs(1,1).filters,plist('f',ff1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
443 rsp11 = rsp11.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
444 % rsp11 = [rsp11(1:end-1);flipud(conj(rsp11(2:end)))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
445 rsp12 = resp(na.objs(1,2).filters,plist('f',ff1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
446 rsp12 = rsp12.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
447 % rsp12 = [rsp12(1:end-1);flipud(conj(rsp12(2:end)))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
448 rsp21 = resp(na.objs(2,1).filters,plist('f',ff1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
449 rsp21 = rsp21.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
450 % rsp21 = [rsp21(1:end-1);flipud(conj(rsp21(2:end)))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
451 rsp22 = resp(na.objs(2,2).filters,plist('f',ff1,'bank','parallel'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
452 rsp22 = rsp22.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
453 % rsp22 = [rsp22(1:end-1);flipud(conj(rsp22(2:end)))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
454 clear na
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
455
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
456 % psd calc (npsd should contain nfft samples)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
457 npsd11 = rsp11.*conj(rsp11) + rsp12.*conj(rsp12);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
458 % npsd11 = [npsd11;flipud(npsd11(2:end-1))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
459 npsd22 = rsp21.*conj(rsp21) + rsp22.*conj(rsp22);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
460 % npsd22 = [npsd22;flipud(npsd22(2:end-1))];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
461
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
462 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
463
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
464 % get window frequency response
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
465
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
466 % BH92 in frequency domain
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
467 W = BH92(2.*pi.*ff1./fs,nfft);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
468 W = W./max(abs(W));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
469 W = W.*conj(W);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
470
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
471 %% ifft dello spettro
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
472
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
473 % npsd11 = [npsd11;flipud(npsd11(2:end-1))]./2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
474 % npsd22 = [npsd22;flipud(npsd22(2:end-1))]./2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
475
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
476 % g11 = ifft(npsd11);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
477 % g22 = ifft(npsd22);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
478
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
479 W = blackmanharris(nfft);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
480 if size(W,2)>1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
481 W = W.';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
482 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
483 W = W.^2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
484 W = ifftshift(W);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
485
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
486 WS11 = fft(W.*g11);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
487 WS22 = fft(W.*g22);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
488
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
489 WS11 = 2.*WS11(1:numel(ff1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
490 WS22 = 2.*WS22(1:numel(ff1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
491
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
492 %% get convolution
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
493
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
494 % WS11 = conv(W,npsd11);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
495 % WS11 = WS11(1:numel(ff1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
496
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
497
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
498 %% Plot spectra
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
499
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
500 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
501 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx1.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
502 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Sxx2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
503 load 'C:\Users\Luigi\Lavori\ltp_noisegen\matlab\Svxx2.mat'
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
504 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
505 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
506
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
507 p22 = loglog(ff1(1:end-1),Sxx1(1:end-1) + sqrt(Svxx1(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
508 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
509 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
510 p23 = loglog(ff1(1:end-1),Sxx1(1:end-1) - sqrt(Svxx1(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
511 p21 = loglog(ff1(1:end-1),Sxx1(1:end-1),'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
512
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
513 p11 = loglog(ff1(1:end),WS11(1:end),'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
514
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
515
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
516 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
517 ylabel('amplitude [m^2 Hz^{-1}]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
518 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
519
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
520 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
521 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
522
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
523 p22 = loglog(ff1(1:end-1),Sxx2(1:end-1) + sqrt(Svxx2(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
524 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
525 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
526 p23 = loglog(ff1(1:end-1),Sxx2(1:end-1) - sqrt(Svxx2(1:end-1)),'b','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
527 p21 = loglog(ff1(1:end-1),Sxx2(1:end-1),'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
528
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
529 p11 = loglog(ff1(1:end-1),WS22(1:end-1),'k','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
530
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
531
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
532 xlabel('Frequency [Hz]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
533 ylabel('amplitude [m^2 Hz^{-1}]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
534 legend([p11(1) p21(1) p22(1)],'Fit Model', 'Data', 'Error \pm \sigma')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
535
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
536 %% get statistics
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
537
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
538 Sn11 = (npsd11(14:end-1)-Sxx1(14:end-1))./npsd11(14:end-1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
539 Sn11 = ao(cdata(Sn11));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
540 Sn22 = (npsd22(14:end-1)-Sxx2(14:end-1))./npsd22(14:end-1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
541 Sn22 = ao(cdata(Sn22));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
542
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
543 % get equivalent normal distribution and histogram
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
544 hpl1 = plist('N', 50);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
545 hpl2 = plist('N', 200);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
546
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
547 dS11h = hist(Sn11,hpl1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
548 dS11h = dS11h./max(dS11h);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
549 dS11n = normdist(Sn11,hpl2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
550 dS11n = dS11n./max(dS11n);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
551
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
552 dS22h = hist(Sn22,hpl1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
553 dS22h = dS22h./max(dS22h);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
554 dS22n = normdist(Sn22,hpl2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
555 dS22n = dS22n./max(dS22n);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
556
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
557 %% check
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
558
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
559 iplot(dS11h,dS11n)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
560 iplot(dS22h,dS22n)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
561
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
562 %% Plot results of the statistics analysis
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
563
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
564 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
565
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
566 p1 = bar(dS11h.x,dS11h.y,'b');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
567 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
568 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
569 p2 = plot(dS11n.x,dS11n.y,'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
570
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
571 xlabel('Normalized Deviation [\Deltax / x]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
572 ylabel('Normalized Counts','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
573 legend([p1(1) p2(1)],'Histogram', 'Equivalent Norm. Distr.')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
574
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
575 figure()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
576
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
577 p1 = bar(dS22h.x,dS22h.y,'b');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
578 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
579 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
580 p2 = plot(dS22n.x,dS22n.y,'r','LineWidth',3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
581
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
582 xlabel('Normalized Deviation [\Deltax / x]','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
583 ylabel('Normalized Counts','fontsize',18)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
584 legend([p1(1) p2(1)],'Histogram', 'Equivalent Norm. Distr.')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
585
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
586
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
587
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
588 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
589 m1 = mean(Sn11.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
590 m2 = mean(Sn22.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
591 s1 = std(Sn11.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
592 s2 = std(Sn22.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
593
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
594
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
595
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
596
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
597
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
598 %%
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
599
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
600 nfft = 1e2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
601 fs = 10;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
602 frq = linspace(0,pi,10000);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
603 % D=DirichletKernel(frq,nfft);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
604 % D=D./max(D);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
605 % figure;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
606 % plot(frq,20.*log10(D))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
607 % grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
608 W=BH92(frq,nfft);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
609 % W=W./max(W);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
610 figure;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
611 plot(frq./pi,20.*log10(W))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
612 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
613