A constructive algorithm for spectral factorization of parahermitian polynomial matrices

摘要

Presents a constructive algorithm for spectral factorization of 2D parahermitian positive definite polynomial matrices. Such an algorithm is expected to be useful in many problems in multidimensional signal and system theory. While earlier solutions to the problem in the mathematical literature deal with existence type results, the present algorithm is also believed to provide an elementary proof of the most nontrivial fact that a factorization of a specific type can always be carried out. An example illustrating the main aspects of the algorithm is included.