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Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 072783 (2007) Cite this article

Abstract

A method for designing stable circularly symmetric two-dimensional digital filters is presented. Two-dimensional discrete transfer functions of the rotated filters are obtained from stable one-dimensional analog-filter transfer functions by performing rotation and then applying the double bilinear transformation. The resulting filters which may be unstable due to the presence of nonessential singularities of the second kind are stabilized by using planar least-square inverse polynomials. The stabilized rotated filters are then realized by using the concept of generalized immittance converter. The proposed method is simple and straight forward and it yields stable digital filter structures possessing many salient features such as low noise, low sensitivity, regularity, and modularity which are attractive for VLSI implementation.

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Authors and Affiliations

  1. Faculty of Engineering, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia

    Ezra Morris Abraham Gnanamuthu & K. Ramar

  2. Faculty of Information Technology, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia

    C. Eswaran

Authors
  1. Ezra Morris Abraham Gnanamuthu
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  2. C. Eswaran
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  3. K. Ramar
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Correspondence to Ezra Morris Abraham Gnanamuthu.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Gnanamuthu, E.M.A., Eswaran, C. & Ramar, K. Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials. EURASIP J. Adv. Signal Process. 2007, 072783 (2007). https://doi.org/10.1155/2007/72783

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