Mercurial > hg > ltpda

annotate m-toolbox/classes/+utils/@math/ndeigcsd.m @ 3:960fe1aa1c10 database-connection-manager

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Add LTPDADatabaseConnectionManager implementation. Java code
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % NDEIGCSD calculates TFs from ND cross-correlated spectra.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % Calculates TFs or WFs from Ndim cross correlated spectra. Input
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % elemnts of a cross-spectral matrix in 2D are assumed to be:
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8 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 % / csd11(f) csd12(f) \
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % CSD(f) = | |
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % \ csd21(f) csd22(f) /
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12 %
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13 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % CALL: h = eigcsd(csd,varargin)
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15 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % INPUT:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % csd are the elements of the cross spectra matrix. It is a (n,n,m)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % matrix where n is the dimensionality of the system and m is the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % number of frequency samples
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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 % Input also the parameters specifying calculation options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % 'OTP' define the output type. Allowed values are 'TF' output the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 % transfer functions or 'WF' output the whitening filters frequency
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % responses. Default 'TF'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 % 'MTD' define the method for the calculation of the csd matrix of a
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 % multichannel system. Admitted values are 'PAP' referring to Papoulis
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % [1] style calculation in which csd = TF*I*TF' and 'KAY' referring to
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % Kay [2] style calculation in which csd = conj(TF)*I*TF.'.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % Default 'PAP'
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32 %
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33 % OUTPUT:
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34 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % h are the TFs or WFs frequency responses. It is a (n,n,m) matrix in
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 % which n is the dimensionality of the system and m is the number of
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % frequency samples.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % REFERENCES:
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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>
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41 % [1] A. Papoulis, Probability Random Variable and Stochastic Processes,
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 % McGraw-Hill, third edition, 1991.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % [2] S. M. Kay, Modern Spectral Estimation, Prentice Hall, 1988.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 % HISTORY: 23-04-2009 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 % VERSION: $Id: ndeigcsd.m,v 1.4 2009/11/06 16:55:51 luigi Exp $
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51 %
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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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 function h = ndeigcsd(csd,varargin)
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55
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 [l,m,npts] = size(csd);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 if m~=l
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 error('!!! The first two dimensions of csd must be equal. csd must be a square matrix frequency by frequency.')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 end
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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 % Finding parameters
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62
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63 % default
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 otp = 'TF';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 mtd = 'PAP';
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66
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 if ~isempty(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 for j=1:length(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 if strcmp(varargin{j},'OTP')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 otp = upper(varargin{j+1});
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71 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 if strcmp(varargin{j},'MTD')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 mtd = upper(varargin{j+1});
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74 end
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75 end
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76 end
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77
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 % Finding suppression
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 suppr = ones(l,l);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 for ii = 2:l
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 k = ones(l,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 for jj = ii-1:-1:1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 k(jj) = min(sqrt(csd(jj,jj,:)./csd(ii,ii,:)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 if k(jj)>=1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 suppr(jj,ii) = floor(k(jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 n=0;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 while k(jj)<1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 k(jj)=k(jj)*10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 n=n+1;
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91 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 k(jj) = floor(k(jj));
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93 suppr(jj,ii) = k(jj)*10^(-n);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 % csuppr(ii) = prod(suppr(:,ii));
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97 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 csuppr = prod(suppr,2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 supmat = diag(csuppr);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 ssup = supmat*supmat.';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 supmat = rot90(rot90(supmat));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 isupmat = inv(supmat);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 % Core Calculation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 % initializing output dat
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 h = ones(l,m,npts);
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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 for phi = 1:npts
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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 % Appliing suppression
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 PP = csd(:,:,phi);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 PP = supmat*PP*supmat;
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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 % [V,D] = eig(PP,ssup);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 [V,D,U] = svd(PP,0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 % [V,D] = eig(PP);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123 % Correcting the output of eig
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 % V = fliplr(V);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 % D = rot90(rot90(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 % % Correcting the output of eig
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 % Vp = fliplr(V);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 % Lp = rot90(rot90(D));
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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 % % Correcting the phase
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 % [a,b] = size(PP);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 % for ii=1:b
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 % Vp(:,ii) = Vp(:,ii).*(cos(angle(Vp(ii,ii)))-1i*sin(angle(Vp(ii,ii))));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 % Vp(ii,ii) = real(Vp(ii,ii));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 % end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138 % V = Vp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 % D = Lp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 % Definition of the transfer functions
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143
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Daniele Nicolodi <nicolodi@science.unitn.it>
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144 switch otp
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 case 'TF'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 switch mtd
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 case 'PAP'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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148 % HH = ssup*V*sqrt(D);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 HH = isupmat*V*sqrt(D);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150 % HH = V*sqrt(D);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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151 case 'KAY'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 % HH = conj(ssup*V*sqrt(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153 HH = conj(isupmat*V*sqrt(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 % HH = conj(V*sqrt(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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156 case 'WF'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 switch mtd
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Daniele Nicolodi <nicolodi@science.unitn.it>
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158 case 'PAP'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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159 %HH = inv(ssup*V*sqrt(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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160 HH = inv(isupmat*V*sqrt(D));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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161 case 'KAY'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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162 %HH = inv(conj(ssup*V*sqrt(D)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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163 HH = inv(conj(isupmat*V*sqrt(D)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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164 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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165 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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166
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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167
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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168 h(:,:,phi) = HH;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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169
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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170 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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171
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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172
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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173 end