Mercurial > hg > ltpda

annotate m-toolbox/classes/@matrix/crb.m @ 1:2014ba5b353a database-connection-manager

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Remove old code
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Sat, 03 Dec 2011 18:13:55 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % CRB computes the inverse of the Fisher Matrix
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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: CRB computes the inverse of the Fisher Matrix
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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 % CALL: bs = crb(in,pl)
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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 % INPUTS: in - matrix objects with input signals to the system
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 % model - symbolic models containing the transfer function model
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % pl - parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 % OUTPUTS: bs - covariance matrix AO
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % <a href="matlab:utils.helper.displayMethodInfo('matrix', 'crb')">Parameters Description</a>
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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 % VERSION: $Id: crb.m,v 1.17 2011/10/07 08:19:55 miquel Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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20
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 function varargout = crb(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % Check if this is a call for parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 if utils.helper.isinfocall(varargin{:})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 varargout{1} = getInfo(varargin{3});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 end
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 import utils.const.*
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 utils.helper.msg(msg.PROC3, 'running %s/%s', mfilename('class'), mfilename);
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31
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 % Method can not be used as a modifier
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 if nargout == 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 error('### crb cannot be used as a modifier. Please give an output variable.');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % Collect input variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 in_names = cell(size(varargin));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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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 % Collect all AOs smodels and plists
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 [mtxs, mtxs_invars] = utils.helper.collect_objects(varargin(:), 'matrix', in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 pl = utils.helper.collect_objects(varargin(:), 'plist', in_names);
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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 % Combine plists
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 pl = parse(pl, getDefaultPlist);
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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 % get params
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 params = find(pl,'FitParams');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 numparams = find(pl,'paramsValues');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 mdl = find(pl,'model');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 mtxns = find(pl,'noise');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 outModel = find(pl,'outModel');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 bmdl = find(pl,'built-in');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 f1 = find(pl,'f1');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 f2 = find(pl,'f2');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 pseudoinv = find(pl,'pinv');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 tol = find(pl,'tol');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 outNames = find(pl,'outNames');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 inNames = find(pl,'inNames');
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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 % Decide on a deep copy or a modify
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 in = copy(mtxs, nargout);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 n = copy(mtxns, nargout);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 % Get number of experiments
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 nexp = numel(in);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 % fft
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 fin = fft(in);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 % N should get before spliting, in order to convert correctly from psd to
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 % fft
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 N = length(fin(1).getObjectAtIndex(1).x);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 % Get rid of fft f =0, reduce frequency range if needed
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 if ~isempty(f1) && ~isempty(f2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 fin = split(fin,plist('frequencies',[f1 f2]));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 end
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 FMall = zeros(numel(params),numel(params));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 % loop over experiments
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 for k = 1:nexp
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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 utils.helper.msg(msg.IMPORTANT, sprintf('Analysis of experiment #%d',k), mfilename('class'), mfilename);
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86
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 if (((numel(n(1).objs)) == 1) && (numel(in(1).objs) == 1))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 % use signal fft to get frequency vector.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 i1 = fin(k).getObjectAtIndex(1,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 freqs = i1.x;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 FisMat = utils.math.fisher_1x1(i1,n(k),mdl,params,numparams,freqs,N,pl,inNames,outNames);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 % store Fisher Matrix for this run
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 FM{k} = FisMat;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 % adding up
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 FMall = FMall + FisMat;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 elseif (((numel(n(1).objs)) == 2) && (numel(in(1).objs) == 2))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 % use signal fft to get frequency vector. Take into account signal
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 % could be empty or set to zero
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 % 1st channel
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 if all(fin(k).getObjectAtIndex(1,1).y == 0) || isempty(fin(k).getObjectAtIndex(1,1).y)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 i1 = ao(plist('type','fsdata','xvals',0,'yvals',0));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 i1 = fin(k).getObjectAtIndex(1,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 freqs = i1.x;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 % 2nd channel
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 if all(fin(k).getObjectAtIndex(2,1).y == 0) || isempty(fin(k).getObjectAtIndex(2,1).y)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 i2 = ao(plist('type','fsdata','xvals',0,'yvals',0));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 i2 = fin(k).getObjectAtIndex(2,1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 freqs = i2.x;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 FisMat = utils.math.fisher_2x2(i1,i2,n(k),mdl,params,numparams,freqs,N,pl,inNames,outNames);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 % store Fisher Matrix for this run
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 FM{k} = FisMat;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 % adding up
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 FMall = FMall + FisMat;
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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 elseif ((numel(n(1).objs) == 3) && (numel(in.objs) == 4) && ~isempty(outModel))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 % this is only valid for the magnetic model, where we have 4 inputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 % (corresponding to the 4 conformator waveforms) and 3 outputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 % (corresponding to IFO.x12, IFO.eta1 and IFO.phi1). And there is a
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 % contribution of an outModel converting the conformator waveforms
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 % into forces and torques.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129
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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 % For other cases not implemented yet.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 % use signal fft to get frequency vector. Take into account signal
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 % could be empty or set to zero
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 % 1st channel
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 freqs = fin.getObjectAtIndex(1,1).x;
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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 for ii = 1:numel(n.objs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 for jj = ii:numel(n.objs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140 % Compute psd
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141 if (ii==jj)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 spec(ii,jj) = psd(n(k).getObjectAtIndex(ii), pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143 S2(ii,jj) = interp(spec(ii,jj),plist('vertices',freqs,'method','linear'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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144 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 spec(ii,jj) = cpsd(n(k).getObjectAtIndex(ii),n(k).getObjectAtIndex(jj),pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 S2(ii,jj) = interp(spec(ii,jj),plist('vertices',freqs,'method','linear'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 S2(jj,ii) = conj(S2(ii,jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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148 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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151
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 S = matrix(S2,plist('shape',[numel(n.objs) numel(n.objs)]));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 % get some parameters used below
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155 fs = S.getObjectAtIndex(1,1).fs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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156
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157
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Daniele Nicolodi <nicolodi@science.unitn.it>
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158 if(~isempty(outModel))
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
159 for lll=1:size(outModel,1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
160 for kkk=1:size(outModel,2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
161 outModel(lll,kkk) = split(outModel(lll,kkk),plist('frequencies',[f1 f2]));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
162 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
163 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
164 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 % Avoid numerical differentiation (faster for the magnetic case)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 Param{1} = [ 1 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 0 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169 0 0 0 0;];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170 Param{2} = [ 0 1 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 0 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172 0 0 0 0;];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 Param{3} = [ 0 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 0 0 1 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175 0 0 0 0;];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176 Param{4} = [ 0 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177 0 0 0 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 0 0 0 1;];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180 % scaling of PSD
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 % PSD = 2/(N*fs) * FFT *conj(FFT)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182 for j = 1: numel(S.objs)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 % spectra to variance
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184 C(:,j) = (N*fs/2)*S.objs(j).data.getY;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 detm = (C(:,1).*C(:,5).*C(:,9) + ...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188 C(:,2).*C(:,6).*C(:,7) + ...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 C(:,3).*C(:,4).*C(:,8) -...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 C(:,7).*C(:,5).*C(:,3) -...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 C(:,8).*C(:,6).*C(:,1) -...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192 C(:,9).*C(:,4).*C(:,2));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194 InvS11 = (C(:,5).*C(:,9) - C(:,8).*C(:,6))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 InvS12 = -(C(:,4).*C(:,9) - C(:,7).*C(:,6))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 InvS13 = (C(:,4).*C(:,8) - C(:,7).*C(:,5))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 InvS21 = -(C(:,2).*C(:,9) - C(:,8).*C(:,3))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 InvS22 = (C(:,1).*C(:,9) - C(:,7).*C(:,3))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 InvS23 = -(C(:,1).*C(:,8) - C(:,7).*C(:,2))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200 InvS31 = (C(:,2).*C(:,6) - C(:,5).*C(:,3))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201 InvS32 = -(C(:,1).*C(:,6) - C(:,4).*C(:,3))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202 InvS33 = (C(:,1).*C(:,5) - C(:,4).*C(:,2))./detm;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204 for pp = 1:length(params)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 for ll = 1:size(outModel,1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 for kk = 1:size(Param{pp},2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
207 % index convention: H(1,1)->h(1) H(2,1)->h(2) H(1,2)->h(3) H(2,2)->h(4)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208 tmp = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
209 for innerIndex = 1:size(outModel,2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210 tmp = tmp + outModel(ll,innerIndex).y * Param{pp}(innerIndex,kk);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
211 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212 h{pp}(:,(kk-1)*size(outModel,1) + ll) = tmp;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
213 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
214 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
215
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
216 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
217
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
218 for kk = 1:numel(in.objs)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
219 inV(:,kk) = fin.objs(kk).data.getY;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
220 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
221
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
222
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
223 % compute Fisher Matrix
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
224 for i =1:length(params)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
225 for j =1:length(params)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
226
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
227 for ll = 1:size(outModel,1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
228 tmp = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
229 for kk = 1:size(Param{1},2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
230 tmp = tmp + h{i}(:,(kk-1)*size(outModel,1) + ll).*inV(:,kk);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
231 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
232 v{i}(:,ll) = tmp;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
233 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
234
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
235
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
236 for ll = 1:size(outModel,1)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
237 tmp = 0;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
238 for kk = 1:size(Param{1},2)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
239 tmp = tmp + h{j}(:,(kk-1)*size(outModel,1) + ll).*inV(:,kk);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
240 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
241 v{j}(:,ll) = tmp;
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
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
244 v1v1 = conj(v{i}(:,1)).*v{j}(:,1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
245 v1v2 = conj(v{i}(:,1)).*v{j}(:,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
246 v1v3 = conj(v{i}(:,1)).*v{j}(:,3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
247 v2v1 = conj(v{i}(:,2)).*v{j}(:,1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
248 v2v2 = conj(v{i}(:,2)).*v{j}(:,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
249 v2v3 = conj(v{i}(:,2)).*v{j}(:,3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
250 v3v1 = conj(v{i}(:,3)).*v{j}(:,1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
251 v3v2 = conj(v{i}(:,3)).*v{j}(:,2);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
252 v3v3 = conj(v{i}(:,3)).*v{j}(:,3);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
253
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
254 FisMat(i,j) = sum(real(InvS11.*v1v1 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
255 InvS12.*v1v2 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
256 InvS13.*v1v3 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
257 InvS21.*v2v1 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
258 InvS22.*v2v2 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
259 InvS23.*v2v3 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
260 InvS31.*v3v1 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
261 InvS32.*v3v2 +...
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
262 InvS33.*v3v3));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
263 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
264 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
265 % store Fisher Matrix for this run
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
266 FM{k} = FisMat;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
267 % adding up
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
268 FMall = FMall + FisMat;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
269 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
270 error('Implemented cases: 2 inputs / 2outputs (TN3045 analysis), and 4 inputs / 3 outpus (magnetic complete analysis model. Other cases have not been implemented yet. Sorry for the inconvenience)');
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
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
273
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
274 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
275
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
276 % inverse is the optimal covariance matrix
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
277 if pseudoinv && isempty(tol)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
278 cov = pinv(FMall);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
279 elseif pseudoinv
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
280 cov = pinv(FMall,tol);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
281 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
282 cov = FMall\eye(size(FMall));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
283 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
284
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
285
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
286 % create AO
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
287 out = ao(cov);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
288 % Fisher Matrix in the procinfo
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
289 out.setProcinfo(plist('FisMat',FM));
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
290
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
291 varargout{1} = out;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
292 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
293
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
294
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
295 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
296 % Get Info Object
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
297 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
298 function ii = getInfo(varargin)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
299 if nargin == 1 && strcmpi(varargin{1}, 'None')
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
300 sets = {};
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
301 pls = [];
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
302 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
303 sets = {'Default'};
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
304 pls = getDefaultPlist;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
305 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
306 % Build info object
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
307 ii = minfo(mfilename, 'ao', 'ltpda', utils.const.categories.sigproc, '$Id: crb.m,v 1.17 2011/10/07 08:19:55 miquel Exp $', sets, pls);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
308 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
309
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
310 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
311 % Get Default Plist
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
312 %--------------------------------------------------------------------------
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
313 function plout = getDefaultPlist()
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
314 persistent pl;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
315 if exist('pl', 'var')==0 || isempty(pl)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
316 pl = buildplist();
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
317 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
318 plout = pl;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
319 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
320
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
321 function pl = buildplist()
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
322 pl = plist.WELCH_PLIST;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
323 pset(pl,'Navs',1)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
324
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
325 p = plist({'f1', 'Initial frequency for the analysis'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
326 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
327
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
328 p = plist({'f2', 'Final frequency for the analysis'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
329 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
330
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
331 p = plist({'FitParamas', 'Parameters of the model'}, paramValue.EMPTY_STRING);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
332 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
333
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
334 p = plist({'model','An array of matrix models'}, paramValue.EMPTY_STRING);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
335 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
336
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
337 p = plist({'noise','An array of matrices with the cross-spectrum matrices'}, paramValue.EMPTY_STRING);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
338 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
339
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
340 p = plist({'built-in','Symbolic models of the system as a string of built-in models'}, paramValue.EMPTY_STRING);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
341 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
342
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
343 p = plist({'frequencies','Array of start/sop frequencies where the analysis is performed'}, paramValue.EMPTY_STRING);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
344 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
345
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
346 p = plist({'pinv','Use the Penrose-Moore pseudoinverse'}, paramValue.TRUE_FALSE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
347 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
348
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
349 p = plist({'tol','Tolerance for the Penrose-Moore pseudoinverse'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
350 pl.append(p);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
351
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
352 p = plist({'step','Numerical differentiation step for ssm models'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
353 pl.append(p);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
354
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
355 p = plist({'ngrid','Number of points in the grid to compute the optimal differentiation step for ssm models'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
356 pl.append(p);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
357
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
358 p = plist({'stepRanges','An array with upper and lower values for the parameters ranges. To be used to compute the optimal differentiation step for ssm models.'}, paramValue.EMPTY_DOUBLE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
359 pl.append(p);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
360 end