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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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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author Gnanamuthu, Ezra Morris Abraham
Eswaran, C.
Ramar, K.
author_facet Gnanamuthu, Ezra Morris Abraham
Eswaran, C.
Ramar, K.
author_sort Gnanamuthu, Ezra Morris Abraham
building MMU Institutional Repository
collection Online Access
description 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.
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spelling mmu-31662014-03-03T04:39:33Z http://shdl.mmu.edu.my/3166/ Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials Gnanamuthu, Ezra Morris Abraham Eswaran, C. Ramar, K. T Technology (General) QA75.5-76.95 Electronic computers. Computer science 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. SPRINGER 2007 Article NonPeerReviewed text en http://shdl.mmu.edu.my/3166/1/1171.pdf Gnanamuthu, Ezra Morris Abraham and Eswaran, C. and Ramar, K. (2007) Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials. EURASIP Journal on Advances in Signal Processing, 2007. p. 1. ISSN 1687-6172 http://dx.doi.org/10.1155/2007/72783 doi:10.1155/2007/72783 doi:10.1155/2007/72783
spellingShingle T Technology (General)
QA75.5-76.95 Electronic computers. Computer science
Gnanamuthu, Ezra Morris Abraham
Eswaran, C.
Ramar, K.
Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title_full Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title_fullStr Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title_full_unstemmed Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title_short Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials
title_sort design of stable circularly symmetric two-dimensional gic digital filters using plsi polynomials
topic T Technology (General)
QA75.5-76.95 Electronic computers. Computer science
url http://shdl.mmu.edu.my/3166/
http://shdl.mmu.edu.my/3166/
http://shdl.mmu.edu.my/3166/
http://shdl.mmu.edu.my/3166/1/1171.pdf