FORMATION OF THE BLOCK TOEPLITZ MATRIX FOR TWO-DIMENSIONAL PLSI POLYNOMIALS

The planar least-squares inverse (PLSI) polynomials are used for stabilization of two-dimensional unstable recursive filters. In order to obtain the PLSI polynomials, the main work involved consists of forming a set of linear equations and then solving them. In this paper we present an efficient and simple method to form the necessary set of linear equations (i. e. , the required coefficient matrix) for a chosen pattern and order of the desired PLSI polynomial, starting from the denominator polynomial of a two-dimensional unstable recursive filter.