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Partial Fraction Decomposition and Correlation Sequence in 2D Systems

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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(z −11 ,z −12 ). 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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References

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Authors and Affiliations

  1. LSI laboratory, Electronics Department, University Ferhat Abbas Setif, 19000, Algeria

    Khier Benmahammed

  2. CRESTIC, University de Reims, IUT de Troyes, France

    Abdelaziz Hamzaoui & Najib Essounbouli

Authors
  1. Khier Benmahammed
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  2. Abdelaziz Hamzaoui
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  3. Najib Essounbouli
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Correspondence to Khier Benmahammed.

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Benmahammed, K., Hamzaoui, A. & Essounbouli, N. Partial Fraction Decomposition and Correlation Sequence in 2D Systems. Multidim Syst Sign Process 17, 75–87 (2006). https://doi.org/10.1007/s11045-005-6238-1

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  • DOI: https://doi.org/10.1007/s11045-005-6238-1

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