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author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Mon, 05 Dec 2011 16:20:06 +0100 |
parents | f0afece42f48 |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % TEST ao/fromCSD % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % HISTORY: 23-04-2009 L Ferraioli % Creation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% VERSION '$Id: test_ao_fromCSD.m,v 1.3 2009/04/23 16:03:55 luigi Exp $'; %% Loading spectra load ..\m-toolbox\test\mpsd.mat % load mpsd.mat first column is f then psd1, csd and psd2 f = mpsd(:,1); psd = mpsd(:,2); fs = 10; % 1dim model mod1D = ao(plist('xvals', f, 'yvals', psd, 'fs', fs, 'dtype', 'fsdata','description','MDC1 IFO CH1')); mod1D.setName; % 2dim model csd11 = ao(plist('xvals', f, 'yvals', mpsd(:,2), 'fs', fs, 'dtype', 'fsdata','description','MDC1 IFO CH1 PSD')); csd11.setName; csd12 = ao(plist('xvals', f, 'yvals', mpsd(:,3), 'fs', fs, 'dtype', 'fsdata','description','MDC1 IFO CH12 CSD')); csd12.setName; csd21 = ao(plist('xvals', f, 'yvals', conj(mpsd(:,3)), 'fs', fs, 'dtype', 'fsdata','description','MDC1 IFO CH21 CSD')); csd21.setName; csd22 = ao(plist('xvals', f, 'yvals', mpsd(:,4), 'fs', fs, 'dtype', 'fsdata','description','MDC1 IFO CH2 PSD')); csd22.setName; mod2D = [csd11 csd12;csd21 csd22]; %% Generate 1D Noise % plist for noise generation plns = plist(... 'csd', mod1D, ... 'Nsecs', 1e4, ... 'fs', fs, ... 'xunits', 's', ... 'yunits', '', ... 'MaxIter', 50, ... 'PoleType', 3, ... 'MinOrder', 7, ... 'MaxOrder', 35, ... 'Weights', 2, ... 'Plot', false,... 'MSEVARTOL', 1e-2,... 'FITTOL', 1e-2); na = ao(plns); %% Compare with Noisegen1D aw = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', 1e4)); pl = plist(... 'model', mod1D, ... 'MaxIter', 50, ... 'PoleType', 3, ... 'MinOrder', 7, ... 'MaxOrder', 35, ... 'Weights', 2, ... 'Plot', false,... 'Disp', false,... 'MSEVARTOL', 1e-2,... 'FITTOL', 1e-2); nat = noisegen1D(aw, pl); %% Make psd naxx = na.lpsd; natxx = nat.lpsd; iplot(naxx,natxx,mod1D) %% 2 dim noise generation % plist for noise generation plns = plist(... 'csd', mod2D, ... 'Nsecs', 1e4, ... 'fs', fs, ... 'xunits', 's', ... 'yunits', '', ... 'MaxIter', 70, ... 'PoleType', 3, ... 'MinOrder', 20, ... 'MaxOrder', 40, ... 'Weights', 2, ... 'Plot', false,... 'MSEVARTOL', 1e-2,... 'FITTOL', 1e-2); na = ao(plns); %% Compare with Noisegen2D aw1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', 1e4)); aw2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', 1e4)); pl = plist(... 'csd11', csd11, ... 'csd12', csd12, ... 'csd21', csd21, ... 'csd22', csd22, ... 'MaxIter', 70, ... 'PoleType', 3, ... 'MinOrder', 20, ... 'MaxOrder', 40, ... 'Weights', 2, ... 'Plot', false,... 'Disp', false,... 'MSEVARTOL', 1e-2,... 'FITTOL', 1e-2); [nat1,nat2] = noisegen2D(aw1,aw2, pl); %% Make psd naxx1 = na(1).lpsd; natxx1 = nat1.lpsd; naxx2 = na(2).lpsd; natxx2 = nat2.lpsd; iplot(naxx1,natxx1,csd11) iplot(naxx2,natxx2,csd22) %% 3 Dim noise generation % sampling frequency fs = 1; % Hz % frequency vector f = logspace(-6,log10(0.5),300); f = f.'; %%% Set the 3 channel model h11 = pzmodel(plist('GAIN', [0.01], 'POLES', [pz(9.9999999999999995e-007,NaN) pz(0.01,NaN) pz(0.02,NaN)], 'ZEROS', [pz(0.0001,NaN) pz(0.002,NaN)])); h12 = pzmodel(plist('GAIN', [0.0001], 'POLES', [pz(0.10000000000000001,NaN) pz(0.0030000000000000001,NaN) pz(0.0050000000000000001,NaN) pz(1.0000000000000001e-005,NaN)], 'ZEROS', [pz(0.00050000000000000001,NaN) pz(0.001,NaN)])); h13 = pzmodel(plist('GAIN', [0.00001], 'POLES', [pz(5.0000000000000004e-006,NaN) pz(0.02,NaN)], 'ZEROS', pz(0.00040000000000000002,NaN))); h21 = pzmodel(plist('GAIN', [0.00001], 'POLES', [pz(5.0000000000000004e-006,NaN) pz(0.10000000000000001,NaN) pz(0.050000000000000003,NaN)], 'ZEROS', [pz(0.002,NaN) pz(0.00020000000000000001,NaN)])); h22 = pzmodel(plist('GAIN', [0.001], 'POLES', [pz(0.01,NaN) pz(9.9999999999999995e-008,NaN) pz(0.002,NaN) pz(0.001,NaN)], 'ZEROS', [pz(1.0000000000000001e-005,NaN) pz(2.0000000000000002e-005,NaN) pz(5.0000000000000002e-005,NaN) pz(0.20000000000000001,NaN)])); h23 = pzmodel(plist('GAIN', [0.0001], 'POLES', [pz(0.01,NaN) pz(0.029999999999999999,NaN) pz(0.10000000000000001,NaN) pz(5.0000000000000002e-005,NaN)], 'ZEROS', [pz(0.0001,NaN) pz(0.0050000000000000001,NaN)])); h31 = pzmodel(plist('GAIN', [0.001], 'POLES', [pz(0.01,NaN) pz(0.029999999999999999,NaN) pz(0.10000000000000001,NaN) pz(0.00050000000000000001,NaN)], 'ZEROS', [pz(0.0001,NaN) pz(0.0050000000000000001,NaN)])); h32 = pzmodel(plist('GAIN', [0.00001], 'POLES', [pz(0.01,NaN) pz(0.029999999999999999,NaN) pz(0.10000000000000001,NaN) pz(0.00050000000000000001,NaN) pz(0.00029999999999999997,NaN)], 'ZEROS', [pz(0.002,NaN) pz(0.059999999999999998,NaN)])); h33 = pzmodel(plist('GAIN', [0.05], 'POLES', [pz(0.0001,NaN) pz(9.9999999999999995e-008,NaN) pz(0.002,NaN)], 'ZEROS', [pz(3.0000000000000001e-005,NaN) pz(5.0000000000000002e-005,NaN) pz(0.10000000000000001,NaN)])); %%% TFs resps % filters response plresp = plist('f',f); rh11 = resp(h11,plresp); rh12 = resp(h12,plresp); rh13 = resp(h13,plresp); rh21 = resp(h21,plresp); rh22 = resp(h22,plresp); rh23 = resp(h23,plresp); rh31 = resp(h31,plresp); rh32 = resp(h32,plresp); rh33 = resp(h33,plresp); %%% Spectra calculation with Kay style method % Note that the definition of cross-spectral matrix follows that of s M % Kay, Modern Spectral Estimation % csd11 G11 = rh11.y.*conj(rh11.y) + rh12.y.*conj(rh12.y) + rh13.y.*conj(rh13.y); G11 = ao(plist('xvals', f, 'yvals', G11, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G11.setName; % csd12 G12 = conj(rh11.y).*rh21.y + conj(rh12.y).*rh22.y + conj(rh13.y).*rh23.y; G12 = ao(plist('xvals', f, 'yvals', G12, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G12.setName; % csd13 G13 = conj(rh11.y).*rh31.y + conj(rh12.y).*rh32.y + conj(rh13.y).*rh33.y; G13 = ao(plist('xvals', f, 'yvals', G13, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G13.setName; % csd21 G21 = conj(G12); G21.setName; % csd22 G22 = rh21.y.*conj(rh21.y) + rh22.y.*conj(rh22.y) + rh23.y.*conj(rh23.y); G22 = ao(plist('xvals', f, 'yvals', G22, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G22.setName; % csd23 G23 = conj(rh21.y).*rh31.y + conj(rh22.y).*rh32.y + conj(rh23.y).*rh33.y; G23 = ao(plist('xvals', f, 'yvals', G23, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G23.setName; % csd31 G31 = conj(G13); G31.setName; % csd32 G32 = conj(G23); G32.setName; % csd33 G33 = conj(rh31.y).*rh31.y + conj(rh32.y).*rh32.y + conj(rh33.y).*rh33.y; G33 = ao(plist('xvals', f, 'yvals', G33, 'fs', fs, 'dtype', 'fsdata', 'yunits', unit('m^2').*unit('Hz^-1'))); G33.setName; %%% Build CSD matrix mod3D = [G11 G12 G13;G21 G22 G23;G31 G32 G33]; %% noise generation % plist for noise generation plns = plist(... 'csd', mod3D, ... 'Nsecs', 1e4, ... 'fs', fs, ... 'xunits', 's', ... 'yunits', '', ... 'MaxIter', 90, ... 'PoleType', 3, ... 'MinOrder', 20, ... 'MaxOrder', 50, ... 'Weights', 2, ... 'Plot', false,... 'MSEVARTOL', 1e-2,... 'FITTOL', 1e-2); na = ao(plns); %% Make psd naxx1 = na(1).psd; naxx2 = na(2).psd; naxx3 = na(3).psd; iplot(naxx1,G11) iplot(naxx2,G22) iplot(naxx3,G33)