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Partial Fraction Decomposition and Correlation Sequence in 2D Systems
Authors:Khier Benmahammed  Abdelaziz Hamzaoui  Najib Essounbouli
Affiliation:(1) LSI laboratory, Electronics Department, University Ferhat Abbas Setif, 19000, Algeria;(2) CRESTIC, University de Reims, IUT de Troyes, France
Abstract:In this paper, results of the one-dimensional (1D) digital filtering are extended to the two-dimensional (2D) case. It introduces a technique and an algorithm for the computation of the product H(z1,z2)H(z1−1,z2−1). The technique is used to find a minimum phase transfer function of a 2D system such that the previous product matches a given correlation sequence. The algorithm requires less arithmetic operations than the traditional methods. The former is based on a matrix formulation of the product, which is used to investigate the 2D partial fraction decomposition (PFD) and stability.
Keywords:The product H(z1  z2)H(z1  1z2  1)  The partial fraction decomposition  The correlation sequence  The stability
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