Title :
Inversion of block - Toeplitz matrices using bivariate szego polynomials
Author :
Justice, James H.
Author_Institution :
University of Tulsa, Tulsa, OK
Abstract :
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.
Keywords :
Bibliographies; Equations; Filtering algorithms; Matrix decomposition; Multidimensional systems; Polynomials; Signal processing algorithms; Wiener filter;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '78.
DOI :
10.1109/ICASSP.1978.1170461