Partial Fraction Decomposition and Correlation Sequence in 2D Systems |
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| Authors: | Khier Benmahammed Abdelaziz Hamzaoui Najib Essounbouli |
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| Affiliation: | (1) LSI laboratory, Electronics Department, University Ferhat Abbas Setif, 19000, Algeria;(2) CRESTIC, University de Reims, IUT de Troyes, France |
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| 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. |
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| Keywords: | The product H(z1 z2)H(z1− 1z2− 1) The partial fraction decomposition The correlation sequence The stability |
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