Open Access

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

  • Ezra Morris Abraham Gnanamuthu1Email author,
  • C. Eswaran2 and
  • K. Ramar1
EURASIP Journal on Advances in Signal Processing20072007:072783

https://doi.org/10.1155/2007/72783

Received: 5 December 2005

Accepted: 24 May 2007

Published: 12 July 2007

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’ Affiliations

(1)
Faculty of Engineering, Multimedia University
(2)
Faculty of Information Technology, Multimedia University

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Copyright

© Ezra Morris Abraham Gnanamuthu et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.