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annotate m-toolbox/test/MDC2/test_mdc2_noisegen_accuracy_v2.m @ 15:ce3fbb7ebe71 database-connection-manager

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Remove broken functions from utils.jmysql
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % A test script for to check the accuracy of the noise generation procedure
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 % for the MDC2
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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4 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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5 % L. Ferraioli 04-02-2009
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7 % $Id: test_mdc2_noisegen_accuracy_v2.m,v 1.3 2009/04/20 14:34:12 luigi Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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8 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 %% General use variables and vectors
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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11
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 fs = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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13 f = logspace(-6,log10(fs/2),300);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 f = f.';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 Nsecs = 1e6; % number of seconds
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 Nfft1 = 1e5;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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17 plsp1 = plist('Nfft',Nfft1,'order',2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 Nfft2 = 5e3;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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19 plsp2 = plist('Nfft',Nfft2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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21 %% MDC2 Models
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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22
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 b = ao(plist('built-in','mdc2r2_fd_ltpnoise','f',f));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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24
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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25 %%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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26
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 iplot(b)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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29 %%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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30
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 CSD = [b(1) b(2);conj(b(2)) b(3)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 MSC = b(2).*conj(b(2))./(b(1).*b(3));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 %% some ploting
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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35
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36 iplot(CSD(1,1),CSD(2,2),MSC)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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37 iplot(CSD(1,1),CSD(2,2),CSD(1,2),CSD(2,1))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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38
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 %% Make white noise
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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41 a1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', Nsecs, 'yunits', 'm'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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42 a2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', Nsecs, 'yunits', 'm'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 %% Noise generation
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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>
parents:
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46 plng = plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 'csd11', CSD(1,1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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48 'csd12', CSD(1,2), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 'csd21', CSD(2,1), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 'csd22', CSD(2,2), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 'MaxIter', 80, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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52 'PoleType', 2, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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53 'MinOrder', 35, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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54 'MaxOrder', 40, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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55 'Weights', 2, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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56 'Plot', false,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 'MSEVARTOL', 1e-2,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 'FITTOL', 1e-5,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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59 'UseSym', 0,...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 'Disp', false);
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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 [ac1,ac2] = noisegen2D(a1,a2, plng);
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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>
parents:
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64 % extracting filters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 h11 = ac1.procinfo.find('Filt11');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 h12 = ac1.procinfo.find('Filt12');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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67 h21 = ac2.procinfo.find('Filt21');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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68 h22 = ac2.procinfo.find('Filt22');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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69
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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70 %% Find stationary filter state
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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71
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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72 Nrun = 20;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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73
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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74 for jj = 1:Nrun % filter state evolution
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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75 disp(num2str(jj))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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76 ac11 = filter(a1,h11);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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77 h11 = ac11.procinfo.find('Filters'); % prooagate histout
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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78 ac12 = filter(a2,h12);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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79 h12 = ac12.procinfo.find('Filters');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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80 ac21 = filter(a1,h21);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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81 h21 = ac21.procinfo.find('Filters');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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82 ac22 = filter(a2,h22);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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83 h22 = ac22.procinfo.find('Filters');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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84 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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85
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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86 % re-define ac1 and ac2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 ac1 = ac11 + ac12;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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88 ac1.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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89 ac2 = ac21 + ac22;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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90 ac2.setName;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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91
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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92 %% spectra calculation
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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93
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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94 acxx1 = psd(ac1,plsp1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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95 acxx2 = psd(ac2,plsp1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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96 acxx12 = cohere(ac1,ac2,plsp2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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97
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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98 % %%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 % iplot(CSD11,acxx1,CSD22,acxx2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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100 % iplot(MSC,acxx12)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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101 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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102 % %%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 % get dofs
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 dof1 = getdof(acxx1,plist('method','psd'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 dof2 = getdof(acxx2,plist('method','psd'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 dof12 = getdof(acxx12,plist('method','mscohere'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 % Interpolate theorethical data
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 CSD11 = interp(CSD(1,1),plist('vertices',acxx1.data.x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 CSD22 = interp(CSD(2,2),plist('vertices',acxx2.data.x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 MSC = interp(MSC,plist('vertices',acxx12.data.x));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 % getting variance
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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115 [lw1,up1,sig1] = confint(acxx1,plist('method','psd'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116 [lw2,up2,sig2] = confint(acxx2,plist('method','psd'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 [lw12,up12,sig12] = confint(acxx12,plist('method','mscohere'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119 % set limits of reliable regions
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 [a,b] = size(acxx12.x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 la = round(a*0.0212);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 % chi square
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 k1 = acxx1 - CSD11;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 k1 = k1.^2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 k1 = k1./sig1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127 k1 = split(k1,plist('split_type','samples','samples',[la a]));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 chi1 = sum(k1)./length(k1.data.x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130 k2 = acxx2 - CSD22;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 k2 = k2.^2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 k2 = k2./sig2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 k2 = split(k2,plist('split_type','samples','samples',[la a]));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 chi2 = sum(k2)./length(k2.data.x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 k12 = acxx12 - MSC;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 k12= k12.^2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 k12 = k12./sig12;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 k12 = split(k12,plist('split_type','samples','samples',[la a]));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 chi12 = sum(k12)./length(k12.data.x);
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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 proc1 = acxx1.procinfo;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 proc2 = acxx2.procinfo;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 proc12 = acxx12.procinfo;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145
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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(CSD11,acxx1,lw1,up1)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 iplot(CSD22,acxx2,lw2,up2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 iplot(MSC,acxx12,lw12,up12)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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152 %% Running the loop
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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153
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154 N = 100;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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155
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156 for ii = 2:N
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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157 disp(num2str(ii))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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158
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
159 a1 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', Nsecs, 'yunits', 'm'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 a2 = ao(plist('tsfcn', 'randn(size(t))', 'fs', fs, 'nsecs', Nsecs, 'yunits', 'm'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
161
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 x11 = filter(a1,h11);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
163 x12 = filter(a2,h12);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164 x21 = filter(a1,h21);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165 x22 = filter(a2,h22);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 x1 = x11 + x12;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 x2 = x21 + x22;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170 % sectra
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 xx1 = psd(x1,plsp1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172 xx2 = psd(x2,plsp1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 xx12 = cohere(x1,x2,plsp2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 % xx12 = xx12(1,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176 % sum spectra
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177 acxx1 = acxx1 + xx1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 acxx2 = acxx2 + xx2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179 acxx12 = acxx12 + xx12;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 % getting variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182 [lw,up,sig1] = confint(xx1,plist('method','psd'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 [lw,up,sig2] = confint(xx2,plist('method','psd'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184 [lw,up,sig12] = confint(xx12,plist('method','mscohere'));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186 % chi square
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 k1 = xx1 - CSD11;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188 k1 = k1.^2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 k1 = k1./sig1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 k1 = split(k1,plist('split_type','samples','samples',[la a]));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 xc1 = sum(k1)./length(k1.data.x);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193 k2 = xx2 - CSD22;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 k2 = k2.^2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 k2 = k2./sig2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 k2 = split(k2,plist('split_type','samples','samples',[la a]));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 xc2 = sum(k2)./length(k2.data.x);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 k12 = xx12 - MSC;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200 k12= k12.^2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201 k12 = k12./sig12;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202 k12 = split(k12,plist('split_type','samples','samples',[la a]));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203 xc12 = sum(k12)./length(k12.data.x);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 % adding chisquare
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 chi1 = chi1 + xc1;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
207 chi2 = chi2 + xc2;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208 chi12 = chi12 + xc12;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
209
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
211
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212 %% Do Averages
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
213
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
214 % do average
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
215 acxx1 = acxx1./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
216 acxx1.setName;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
217 acxx2 = acxx2./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
218 acxx2.setName;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
219 acxx12 = acxx12./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
220 acxx12.setName;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
221
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
222 % average chi square
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
223 chi1 = chi1./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224 chi2 = chi2./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
225 chi12 = chi12./N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
226
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
227 % dofs for the averages
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
228 adof1 = dof1.*N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
229 adof2 = dof2.*N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230 adof12 = dof12.*N;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
232 % get confidence bounds for the 'true' spactra
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
233 [lw1,up1,sig1] = confint(acxx1,plist('method','psd','dof',adof1));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234 [lw2,up2,sig2] = confint(acxx2,plist('method','psd','dof',adof2));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
235 [lw12,up12,sig12] = confint(acxx12,plist('method','mscohere','dof',adof12));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237 %% plotting
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
238
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
239 iplot(CSD(1,1),acxx1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
240 iplot(CSD(2,2),acxx2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
241 iplot(MSC,acxx12)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
242
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
243 iplot(CSD(1,1),lw1,up1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
244 iplot(CSD(2,2),lw2,up2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
245 iplot(MSC,lw12,up12)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
246
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
247 %% plotting conflevels 1
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
248
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
249 x = lw1.data.x;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
250 y1 = lw1.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
251 y2 = up1.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
252
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
253 figure
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
254 y = [y1 (y2-y1)]; % y1 and y2 are columns
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
255 ha = area(x, y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
256 set(ha(1), 'FaceColor', 'none') % this makes the bottom area invisible
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
257 set(ha(2), 'FaceColor', 'r')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
258 set(ha, 'LineStyle', 'none')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
259 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
260
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
261 % plot the line edges
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
262 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
263 hb = plot(x, y1, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
264 hc = plot(x, y2, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
265 hd = plot(CSD(1,1).data.x, CSD(1,1).data.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
266
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
267 set(gca,'xscale','log','yscale','log');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
268 % set(gca,'Layer','top')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
269 ylabel('Power Spectrum [m^{2} / Hz]');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
270 xlabel('Frequency [Hz]');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
271 legend([hd hb],{'Model CSD(1,1)','95% Conf. level'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
272
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
273 %% plotting conflevels 2
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
274
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
275 x = lw2.data.x;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
276 y1 = lw2.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
277 y2 = up2.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
278
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
279 figure
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
280 y = [y1 (y2-y1)]; % y1 and y2 are columns
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
281 ha = area(x, y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
282 set(ha(1), 'FaceColor', 'none') % this makes the bottom area invisible
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
283 set(ha(2), 'FaceColor', 'r')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
284 set(ha, 'LineStyle', 'none')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
285 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
286
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
287 % plot the line edges
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
288 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
289 hb = plot(x, y1, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290 hc = plot(x, y2, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
291 hd = plot(CSD(2,2).data.x, CSD(2,2).data.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
292
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
293 set(gca,'xscale','log','yscale','log');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
294 % set(gca,'Layer','top')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
295 ylabel('Power Spectrum [m^{2} / Hz]');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296 xlabel('Frequency [Hz]');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
297 legend([hd hb],{'Model CSD(2,2)','95% Conf. level'});
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
298
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 %% plotting conflevels 3
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
301 x = lw12.data.x;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
302 y1 = lw12.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
303 y2 = up12.data.y;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
304
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
305 figure
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
306 y = [y1 (y2-y1)]; % y1 and y2 are columns
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
307 ha = area(x, y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
308 set(ha(1), 'FaceColor', 'none') % this makes the bottom area invisible
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
309 set(ha(2), 'FaceColor', 'r')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
310 set(ha, 'LineStyle', 'none')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
311 grid on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
312
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
313 % plot the line edges
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
314 hold on
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
315 hb = plot(x, y1, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
316 hc = plot(x, y2, 'LineWidth', 1, 'Color', 'r');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
317 hd = plot(MSC.data.x, MSC.data.y);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
318
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
319 set(gca,'yscale','log');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
320 % set(gca,'Layer','top')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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321 ylabel('Magnitude Square Coherence');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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322 xlabel('Frequency [Hz]');
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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323 legend([hd hb],{'Model MSC','95% Conf. level'});