annotate toolboxes/FullBNT-1.0.7/Kalman/SS_to_AR.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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wolffd@0 1 function [coef, C] = SS_to_AR(F, Q, k, diagonal)
wolffd@0 2 %
wolffd@0 3 % Extract the parameters of a vector autoregresssive process of order k from the state-space form.
wolffd@0 4 % [coef, C] = SS_to_AR(F, Q, k, diagonal)
wolffd@0 5
wolffd@0 6 if nargin<4, diagonal = 0; end
wolffd@0 7
wolffd@0 8 s = length(Q) / k;
wolffd@0 9 bs = s*ones(1,k);
wolffd@0 10 coef = zeros(s,s,k);
wolffd@0 11 for i=1:k
wolffd@0 12 if diagonal
wolffd@0 13 coef(:,:,i) = diag(diag(F(block(1,bs), block(i,bs))));
wolffd@0 14 else
wolffd@0 15 coef(:,:,i) = F(block(1,bs), block(i,bs));
wolffd@0 16 end
wolffd@0 17 end
wolffd@0 18 C = Q(block(1,bs), block(1,bs));
wolffd@0 19 if diagonal
wolffd@0 20 C = diag(diag(C));
wolffd@0 21 end
wolffd@0 22 %C = sqrt(Q(block(1,bs), block(1,bs))); % since cov(1,1) of full vector = C C'