### Multichannel Spectral Factorization Algorithm using Polynomial Matrix Eigenvalue Decomposition

Zeliang Wang, Johh G. McWhirter, Stephan Weiss

PDF

#### Abstract

In this paper, we present a new multichannel spectral factorization algorithm
which can be utilized to calculate the approximate spectral factor of any
para-Hermitian polynomial matrix. The proposed algorithm is based on an
iterative method for polynomial matrix eigenvalue decomposition (PEVD).
By using the PEVD algorithm, the multichannel spectral factorization problem
is simply broken down to a set of single channel problems which can be
solved by means of existing one-dimensional spectral factorization algorithms.
In effect, it transforms the multichannel spectral factorization problem into
one which is much easier to solve.