0
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 1 % CPSD computes the output theoretical CPSD shape with given inputs.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 3 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 4 % DESCRIPTION: CPSD computes the output theoretical CPSD shape with given inputs.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 5 % Unlike PSD, it returns the total contribution and takes
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 6 % input vectors/square matrices of objects
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 7 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 8 % CALL: [mat_out] = CPSD(sys, pl)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 9 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 10 % INPUTS:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 11 % - sys, (array of) ssm object
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 12 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 13 % OUTPUTS:
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 14 % _ mat_out contains specified returned aos
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 15 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 16 % <a href="matlab:utils.helper.displayMethodInfo('ssm', 'CPSD')">Parameters Description</a>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 17 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 18 % VERSION: $Id: CPSD.m,v 1.11 2011/04/27 17:21:27 adrien Exp $
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 19 %
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 20 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 21
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 22 function varargout = CPSD(varargin)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 23
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 24 %% starting initial checks
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 25
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 26 % use the caller is method flag
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 27 callerIsMethod = utils.helper.callerIsMethod;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 28
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 29 % Check if this is a call for parameters
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 30 if utils.helper.isinfocall(varargin{:})
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 31 varargout{1} = getInfo(varargin{3});
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 32 return
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 33 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 34
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 35 utils.helper.msg(utils.const.msg.MNAME, ['running ', mfilename]);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 36
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 37 % Collect input variable names
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 38 in_names = cell(size(varargin));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 39 for ii = 1:nargin,in_names{ii} = inputname(ii);end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 40
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 41 % Collect all SSMs and plists
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 42 [sys, ssm_invars, rest] = utils.helper.collect_objects(varargin(:), 'ssm', in_names);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 43 [pl, invars2, rest] = utils.helper.collect_objects(rest(:), 'plist');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 44 if ~isempty(rest)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 45 pl = combine(pl, plist(rest{:}));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 46 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 47 pl = combine(pl, getDefaultPlist());
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 48
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 49 %%% Internal call: Only one object + don't look for a plist
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 50 internal = strcmp(varargin{end}, 'internal');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 51
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 52 %% begin function body
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 53
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 54 %% retrieve system infos
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 55
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 56 if numel(sys)~=1
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 57 error('noisespectrum needs exactly one ssm as an input')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 58 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 59 if ~sys.isnumerical
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 60 error(['error because system ',sys.name,' is not numerical']);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 61 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 62 if ~sys.isStable
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 63 error('input ssm is not stable!')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 64 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 65 if sys.timestep==0
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 66 timestep = 1;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 67 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 68 timestep = sys.timestep;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 69 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 70 if ~internal
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 71 inhist = sys.hist;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 72 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 73
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 74 %% modifying system's ordering
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 75 if find(pl, 'reorganize')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 76 sys = reorganize(sys, pl, 'set', 'for cpsd', 'internal', 'internal');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 77 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 78
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 79 %% collecting functions i/o data
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 80 aos_in = find(pl, 'aos');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 81 PZ_in = find(pl, 'PZmodels');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 82 cov_in = find(pl, 'covariance');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 83 cpsd_in = find(pl, 'CPSD');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 84 noise_in = blkdiag(cov_in, cpsd_in/(timestep*2));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 85 [U1,S1,V1] = svd(noise_in.'); %#ok<NASGU>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 86 noise_mat = U1*sqrt(S1);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 87
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 88 %% getting system's i/o sizes
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 89 inputSizes = sys.inputsizes;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 90 outputSizes = sys.outputsizes; %#ok<NASGU>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 91
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 92 Naos_in = inputSizes(1);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 93 NPZmodels = inputSizes(3);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 94
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 95 %% retrieving frequency vector
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 96 if isempty(Naos_in)==0
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 97 f1 = find(pl,'f1');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 98 f2 = find(pl,'f2');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 99 NFreqs = find(pl,'nf');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 100 if isempty(f1) || isempty(f2)|| isempty(NFreqs)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 101 error('### Please specify frequency vector a start and stop frequency .');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 102 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 103 freqs = 10.^linspace(log10(f1), log10(f2), NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 104 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 105 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 106 freqs = aos_in(1).x;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 107 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 108
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 109 %% checking frequency vector
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 110 for i=2:numel(aos_in)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 111 if ~isequal(freqs,aos_in(i).x)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 112 error('there exist different frequency vectors');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 113 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 114 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 115
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 116 %% reshape pzmodels and aos for input cross-spectra
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 117 if numel(PZ_in)==NPZmodels
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 118 PZfull = false;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 119 PZdata = zeros(NPZmodels,NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 120 for i=1:NPZmodels
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 121 a = resp(PZ_in(i), freqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 122 PZdata(i,:) = reshape(a.y,[1,NFreqs]) ;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 123 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 124 elseif size(PZ_in,1)==NPZmodels && size(PZ_in,2)==NPZmodels
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 125 PZfull = true;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 126 PZdata = zeros(Npzmodels,Npzmodels,NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 127 for i=1:NPZmodels
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 128 for j=1:Npzmodels
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 129 a = resp(PZ_in(i,j), freqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 130 PZdata(i,j,:) = reshape(a.y,[1,NFreqs]) ;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 131 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 132 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 133 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 134 error('Wrong size for field PZ_in')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 135 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 136
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 137 if numel(aos_in)==Naos_in
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 138 AOfull = false;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 139 AOdata = zeros(Naos_in,NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 140 for i=1:Naos_in
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 141 AOdata(i,:) = reshape(aos_in(i).y,[1,NFreqs]) ;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 142 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 143 elseif size(aos_in,1)==Naos_in && size(aos_in,2)==Naos_in
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 144 AOfull = true;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 145 AOdata = zeros(Naos_in,Naos_in,NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 146 for i=1:Naos_in
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 147 for j=1:Naos_in
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 148 AOdata(i,j,:) = reshape(aos_in(i,j).y,[1,NFreqs]) ;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 149 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 150 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 151 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 152 error('Wrong size for field aos_in')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 153 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 154
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 155 %% SSM Transfer function
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 156 [a, b, c, d, Ts, InputName, StateName, OutputName,...
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 157 inputvarunits, ssvarunits, outputvarunits] = double(sys); %#ok<ASGLU>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 158 resps = ssm.doBode(a, b, c, d, 2*pi*freqs, Ts);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 159 Noutputs = numel(OutputName);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 160
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 161 %% power for each frequency with SVD computation
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 162 Result = zeros(Noutputs,Noutputs,NFreqs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 163
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 164 for i_freq=1:NFreqs
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 165 %% contribution from aos, testing positiveness
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 166 if AOfull
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 167 PowAO = squeeze(AOdata(:,:,i_freq));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 168 [U1,S1,V1] = svd(PowAO.'); %#ok<NASGU>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 169 if (sum(S1<0)>0)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 170 error('AO covariance matrix is not positive')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 171 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 172 AmpAO = U1*sqrt(S1);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 173 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 174 if (sum(AOdata(:,i_freq)<0)>0)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 175 error('non positive covariance')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 176 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 177 AmpAO = diag(AOdata(:,i_freq).^0.5);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 178 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 179 %% contribution from PZmodels, testing positiveness
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 180 if PZfull
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 181 PowPZ = squeeze(PZdata(:,:,i_freq));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 182 [U1,S1,V1] = svd(PowPZ.'); %#ok<NASGU>
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 183 if (sum(S1<0)>0)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 184 error('PZmodels covariance matrix is not positive')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 185 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 186 AmpPZ = U1*sqrt(S1);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 187 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 188 if (sum(PZdata(:,i_freq)<0)>0)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 189 error('non positive covariance')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 190 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 191 AmpPZ = diag(PZdata(:,i_freq).^0.5);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 192 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 193 %% summing all three contributions sources, computing CPSD
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 194 Amp = blkdiag(AmpAO, noise_mat, AmpPZ);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 195 RespLoc = squeeze(resps(:,:,i_freq));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 196 noise = RespLoc * Amp * (RespLoc*Amp)';
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 197 Result(:,:,i_freq) = real(noise) * (2*timestep); % 2 correction added here
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 198 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 199
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 200 %% saving in aos
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 201 ao_out = ao.initObjectWithSize(Noutputs, Noutputs);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 202
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 203 for io=1:Noutputs
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 204 for jo=1:Noutputs
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 205 ao_out(io,jo).setData(fsdata(freqs, squeeze(Result(jo,io,:))));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 206 if io~=jo
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 207 ao_out(io,jo).setName( ['Cross PSD of ', OutputName{jo}, ' and ', OutputName{io}]);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 208 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 209 ao_out(io,jo).setName( ['PSD of ' , OutputName{jo}]);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 210 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 211 ao_out(io,jo).setXunits('Hz');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 212 ao_out(io,jo).setYunits(outputvarunits(io)*outputvarunits(jo)/unit('Hz'));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 213 if io~=jo
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 214 ao_out(io,jo).setDescription( ['Cross PSD of ', OutputName{jo}, ' and ', OutputName{io}]);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 215 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 216 ao_out(io,jo).setDescription( ['PSD of ' , OutputName{jo}]);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 217 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 218 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 219 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 220
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 221 %% construct output matrix object
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 222 out = matrix(ao_out);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 223 if callerIsMethod
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 224 % do nothing
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 225 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 226 myinfo = getInfo('None');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 227 out.addHistory(myinfo, pl , ssm_invars(1), inhist );
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 228 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 229
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 230 %% Set output depending on nargout
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 231 if nargout == 1;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 232 varargout = {out};
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 233 elseif nargout == 0;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 234 iplot(ao_out);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 235 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 236 error('Wrong number of outputs')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 237 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 238 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 239
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 240
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 241 %--------------------------------------------------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 242 % Get Info Object
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 243 %--------------------------------------------------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 244 function ii = getInfo(varargin)
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 245
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 246 if nargin == 1 && strcmpi(varargin{1}, 'None')
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 247 sets = {};
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 248 pl = [];
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 249 else
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 250 sets = {'Default'};
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 251 pl = getDefaultPlist;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 252 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 253 % Build info object
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 254 ii = minfo(mfilename, 'ssm', 'ltpda', utils.const.categories.op, '$Id: CPSD.m,v 1.11 2011/04/27 17:21:27 adrien Exp $', sets, pl);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 255
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 256 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 257
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 258 %--------------------------------------------------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 259 % Get Default Plist
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 260 %--------------------------------------------------------------------------
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 261 function pl = getDefaultPlist()
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 262 pl = ssm.getInfo('reorganize', 'for CPSD').plists;
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 263 pl.remove('set');
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 264
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 265 p = param({'covariance', 'The covariance of this noise between input ports for the <i>time-discrete</i> noise model.'}, []);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 266 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 267
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 268 p = param({'CPSD', 'The one sided cross-psd of the white noise between input ports.'}, []);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 269 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 270
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 271 p = param({'aos', 'An array of input AOs, The power spectrum of this noise between input ports for the <i>time-continuous</i> noise model.'}, ao.initObjectWithSize(1,0));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 272 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 273
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 274 p = param({'PZmodels', 'An array of input pzmodels for noise filtering'}, paramValue.DOUBLE_VALUE(zeros(0,1)));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 275 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 276
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 277 p = param({'reorganize', 'When set to 0, this means the ssm does not need be modified to match the requested i/o. Faster but dangerous!'}, paramValue.TRUE_FALSE);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 278 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 279
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 280 p = param({'f2', 'The maximum frequency. Default is Nyquist or 1Hz.'}, paramValue.EMPTY_DOUBLE);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 281 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 282
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 283 p = param({'f1', 'The minimum frequency. Default is f2*1e-5.'}, paramValue.EMPTY_DOUBLE);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 284 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 285
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 286 p = param({'nf', 'The number of frequency bins. Frequencies are scale logarithmically'}, paramValue.DOUBLE_VALUE(200));
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 287 pl.append(p);
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 288
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 289 end
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff
changeset
+ − 290