Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics

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

doi:10.1109/ISCAS.2001.921191

Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics

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

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

The properties of a two-dimensional (2-D) discrete transfer function with the 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 z/sub 1/=/spl plusmn/1 and z/sub 2/=/spl plusmn/1. A suitable numerator polynomial can be associated to get the overall transfer function. By varying the values of k, different magnitude and contour characteristics are obtained. Such structures can be cascaded so that the magnitude responses can be varied.

Original language	English (US)
Title of host publication	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Pages	797-800
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2001.921191
State	Published - 2001
Event	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 - Sydney, NSW, Australia Duration: May 6 2001 → May 9 2001

Publication series

Name	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Volume	2

Other

Other	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
Country/Territory	Australia
City	Sydney, NSW
Period	5/6/01 → 5/9/01

All Science Journal Classification (ASJC) codes

Hardware and Architecture
Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials

Access to Document

10.1109/ISCAS.2001.921191

Cite this

Gargour, C. S., Ramachandran, V., & Ramachandran, R. P. (2001). Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings (pp. 797-800). Article 921191 (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2). https://doi.org/10.1109/ISCAS.2001.921191

Gargour, C. S. ; Ramachandran, V. ; Ramachandran, R. P. / Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics. ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. pp. 797-800 (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings).

@inproceedings{d74079206cb444b19491bb85a70f9df6,

title = "Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics",

abstract = "The properties of a two-dimensional (2-D) discrete transfer function with the 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 z/sub 1/=/spl plusmn/1 and z/sub 2/=/spl plusmn/1. A suitable numerator polynomial can be associated to get the overall transfer function. By varying the values of k, different magnitude and contour characteristics are obtained. Such structures can be cascaded so that the magnitude responses can be varied.",

author = "Gargour, {C. S.} and V. Ramachandran and Ramachandran, {R. P.}",

year = "2001",

doi = "10.1109/ISCAS.2001.921191",

language = "English (US)",

isbn = "0780366859",

series = "ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings",

pages = "797--800",

booktitle = "ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings",

note = "2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 ; Conference date: 06-05-2001 Through 09-05-2001",

}

Gargour, CS, Ramachandran, V & Ramachandran, RP 2001, Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics. in ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings., 921191, ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings, vol. 2, pp. 797-800, 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001, Sydney, NSW, Australia, 5/6/01. https://doi.org/10.1109/ISCAS.2001.921191

Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics. / Gargour, C. S.; Ramachandran, V.; Ramachandran, R. P.
ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 797-800 921191 (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics

AU - Gargour, C. S.

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N2 - The properties of a two-dimensional (2-D) discrete transfer function with the 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 z/sub 1/=/spl plusmn/1 and z/sub 2/=/spl plusmn/1. A suitable numerator polynomial can be associated to get the overall transfer function. By varying the values of k, different magnitude and contour characteristics are obtained. Such structures can be cascaded so that the magnitude responses can be varied.

AB - The properties of a two-dimensional (2-D) discrete transfer function with the 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 z/sub 1/=/spl plusmn/1 and z/sub 2/=/spl plusmn/1. A suitable numerator polynomial can be associated to get the overall transfer function. By varying the values of k, different magnitude and contour characteristics are obtained. Such structures can be cascaded so that the magnitude responses can be varied.

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M3 - Conference contribution

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SN - 0780366859

SN - 9780780366855

T3 - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings

SP - 797

EP - 800

BT - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings

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Gargour CS, Ramachandran V, Ramachandran RP. Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 797-800. 921191. (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings). doi: 10.1109/ISCAS.2001.921191

Generation of a class of two-dimensional (2-D) transfer functions yielding variable magnitude and contour characteristics

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