Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions

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

doi:10.1109/ISCAS.2001.921202

Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions

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

Electrical Engineering

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

2 Scopus citations

Abstract

The denominator polynomial of a given causal stable z-domain transfer function is modified so that the magnitude of the frequency response remains the same. This simple modification permits an infinite number of decompositions of the modified denominator into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, continued fraction expansions (CFE) are considered and some properties are obtained. These properties indicate whether the original denominator polynomial has all its roots within the unit circle (is minimum phase) or not.

Original language	English (US)
Title of host publication	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Pages	841-844
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2001.921202
State	Published - Dec 1 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	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.2001.921202

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Ramachandran, V., Ramachandran, R., & Gargour, C. S. (2001). Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings (pp. 841-844). [921202] (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2). https://doi.org/10.1109/ISCAS.2001.921202

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abstract = "The denominator polynomial of a given causal stable z-domain transfer function is modified so that the magnitude of the frequency response remains the same. This simple modification permits an infinite number of decompositions of the modified denominator into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, continued fraction expansions (CFE) are considered and some properties are obtained. These properties indicate whether the original denominator polynomial has all its roots within the unit circle (is minimum phase) or not.",

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

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Ramachandran, V, Ramachandran, R & Gargour, CS 2001, Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions. in ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings., 921202, ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings, vol. 2, pp. 841-844, 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001, Sydney, NSW, Australia, 5/6/01. https://doi.org/10.1109/ISCAS.2001.921202

Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions. / Ramachandran, V.; Ramachandran, Ravi; Gargour, C. S.

ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 841-844 921202 (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings; Vol. 2).

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

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N2 - The denominator polynomial of a given causal stable z-domain transfer function is modified so that the magnitude of the frequency response remains the same. This simple modification permits an infinite number of decompositions of the modified denominator into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, continued fraction expansions (CFE) are considered and some properties are obtained. These properties indicate whether the original denominator polynomial has all its roots within the unit circle (is minimum phase) or not.

AB - The denominator polynomial of a given causal stable z-domain transfer function is modified so that the magnitude of the frequency response remains the same. This simple modification permits an infinite number of decompositions of the modified denominator into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, continued fraction expansions (CFE) are considered and some properties are obtained. These properties indicate whether the original denominator polynomial has all its roots within the unit circle (is minimum phase) or not.

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Ramachandran V, Ramachandran R, Gargour CS. Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions. In ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. 2001. p. 841-844. 921202. (ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings). https://doi.org/10.1109/ISCAS.2001.921202

Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions

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