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Formation of the block toeplitz matrix for two-dimensional PLSI Polynomials
Authors:D. Raghuramireddy  R. Unbehauen
Affiliation:(1) Lehrstuhl für Allgemeine und Theoretische Elektrotechnik der Universität Erlangen-Nürnberg, Cauerstrasse 7, D-8520, Erlangen, Federal Republic of Germany
Abstract: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 in 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.This work was financed by the Alexander von Humboldt Foundation, Bonn.On leave from the Department of Electrical and Electronics Engineering, S.V. University, Tirupati-517502, A.P., India.
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