Inversion of block - Toeplitz matrices using bivariate szego polynomials

Bivariate analogues of the Szego polynomials have been derived by the author and applied to the derivation of an analogue of the Levinson algorithm for two-dimensional Wiener filtering. In this paper we show that the same polynomials can be applied to derive an algorithm for inverting the positive definite block-Toeplitz matrices which occur in two-dimensional Wiener filtering. The algorithm yields a decomposition of the inverse matrix into a product of upper and lower triangular block matrices.