📄 get_approx_cov1.m
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% function crossXY = get_approx_cov1(X, Y, rho)
%
% get approximate cross-covariance of the state estimate from different local tracker (YBS95, pp. 455)
%
% Input parameters:
% X --------- the covariance of the state estimate from tracker i
% Y --------- the covariance of the state estimate from tracker j
% rho --------- a matrix where rho_ij are the approximation terms chosen within (-1, 1)
% Output parameters:
% crossXY ----- the approxiamte cross-covariance between X and Y
function crossXY = get_approx_cov1(X, Y, rho)
[n1, n2] = size(X);
[n3, n4] = size(Y);
if n1~=n2 | n3~=n4 | n1~=n3
errmsg = [ 'Incorrect dimension of the state estimates!' ];
errordlg(errmsg, 'DTA Simulation: Warning', 'modal');
return;
end
crossXY = zeros(size(X));
for i=1:n1
for j=1:n1
rho1 = X(i,j)/sqrt(X(i,i)*X(j,j));
rho2 = Y(i,j)/sqrt(Y(i,i)*Y(j,j));
crossXY(i,j) = rho(i,j) * sqrt(X(i,i)*Y(j,j)*abs(rho1*rho2)) * sign(rho1) * sign(rho2);
end
end
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