EM algorithm for linear state-space models
Computes the maximum-likelihood estimate of A,B,R,E,F and Q in
Y(:,t) = A + B*X(:,t) + e(:,t), e(:,t)~N(0,R)
X(:,t) = E + F*X(:,t-1) + u(:,t), u(:,t)~N(0,Q)
where Y is a N by T vector of observables and X is a K by T unobserved state vector.
A structural parameter-expanded EM algorithm is used for computing one element of the parameter set estimate which is mapped to the unique point estimate in a normalized parameter space. Many popular normalizations (parameterizations) are supported. The algorithm implements a square-root Kalman filter. Overall, the SPX-EM algorithm is more robust and converges much faster than a standard EM algorithm. This first release has few bells and whistles: Please let me know of any additional features that might be useful to you. Report bugs or unexpected behavior as well...
Cite As
Sebastien Blais (2024). EM algorithm for linear state-space models (https://www.mathworks.com/matlabcentral/fileexchange/64585-em-algorithm-for-linear-state-space-models), MATLAB Central File Exchange. Retrieved .
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- Signal Processing > Signal Processing Toolbox > Digital and Analog Filters > Digital Filter Design > Adaptive Filters >
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