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

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 t...

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Bibliographic Details
Main Authors: Gnanamuthu, Ezra Morris Abraham, Eswaran, C., Ramar, K.
Format: Article
Language:English
Published: SPRINGER 2007
Subjects:
Online Access:http://shdl.mmu.edu.my/3166/
http://shdl.mmu.edu.my/3166/1/1171.pdf
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Summary: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. Copyright (c) 2007 Ezra Morris Abraham Gnanamuthu et al. 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.