An alternative approach for obtaining 2D discrete filters by cascading sections each having unity degree in each variable

C. S. Gargour; V. Ramachandran; Ravi P. Ramachandran

doi:10.1142/S0218126604001830

An alternative approach for obtaining 2D discrete filters by cascading sections each having unity degree in each variable

C. S. Gargour, V. Ramachandran, Ravi P. Ramachandran

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The properties of a 2D discrete transfer function with degree of each variable being unity are discussed. The coefficients of the denominator polynomial contain a parameter k (having real values) whose bounds are determined by stability considerations. These bounds are obtained by testing the overall polynomial at only four points z₁ = ±1 and z ₂ = ±1. Suitable numerator polynomial can be associated to get the overall transfer function. Such structures can be cascaded so that the overall magnitude response can be changed by altering the response of one or more sections.

Original language	English (US)
Pages (from-to)	1085-1103
Number of pages	19
Journal	Journal of Circuits, Systems and Computers
Volume	13
Issue number	5
DOIs	https://doi.org/10.1142/S0218126604001830
State	Published - Oct 2004

All Science Journal Classification (ASJC) codes

Hardware and Architecture
Electrical and Electronic Engineering

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10.1142/S0218126604001830

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AB - The properties of a 2D discrete transfer function with degree of each variable being unity are discussed. The coefficients of the denominator polynomial contain a parameter k (having real values) whose bounds are determined by stability considerations. These bounds are obtained by testing the overall polynomial at only four points z1 = ±1 and z 2 = ±1. Suitable numerator polynomial can be associated to get the overall transfer function. Such structures can be cascaded so that the overall magnitude response can be changed by altering the response of one or more sections.

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An alternative approach for obtaining 2D discrete filters by cascading sections each having unity degree in each variable

Abstract

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