dynare/matlab/kalman_transition_matrix.m

33 lines
995 B
Matlab

% makes transition matrices out of ghx and ghu for Kalman filter
% still needs to eliminate unobserved static variables
% order of variables s p b f p_1
function [A,B] = kalman_transition_matrix(dr)
global M_
nx = size(dr.ghx,2)+dr.nfwrd+dr.nstatic;
kstate = dr.kstate;
ikx = [dr.nstatic+1:dr.nstatic+dr.npred];
A = zeros(nx,nx);
k0 = kstate(find(kstate(:,2) <= M_.maximum_lag+1),:);
i0 = find(k0(:,2) == M_.maximum_lag+1);
n0 = size(dr.ghx,1);
A(1:n0,dr.nstatic+1:dr.nstatic+dr.npred) = dr.ghx(:,1:dr.npred);
A(1:n0,dr.nstatic+dr.npred+dr.nfwrd+1:end) = dr.ghx(:,dr.npred+1:end);
B = zeros(nx,M_.exo_nbr);
B(1:n0,:) = dr.ghu;
offset_col = dr.nstatic;
for i=M_.maximum_lag:-1:2
i1 = find(k0(:,2) == i);
n1 = size(i1,1);
j = zeros(n1,1);
for j1 = 1:n1
j(j1) = find(k0(i0,1)==k0(i1(j1),1));
end
if i == M_.maximum_lag-1
offset_col = dr.nstatic+dr.nfwrd;
end
A(n0+i1-dr.npred,offset_col+i0(j))=eye(n1);
i0 = i1;
end