NEW Z-DOMAIN CONTINUED FRACTION EXPANSIONS BASED ON AN INFINITE NUMBER OF MIRROR-IMAGE AND ANTI-MIRROR-IMAGE POLYNOMIAL DECOMPOSITIONS-Reference-Cited by-同舟云学术

NEW Z-DOMAIN CONTINUED FRACTION EXPANSIONS BASED ON AN INFINITE NUMBER OF MIRROR-IMAGE AND ANTI-MIRROR-IMAGE POLYNOMIAL DECOMPOSITIONS

Published:2008-06 Issue:03 Volume:17 Page:487-498
ISSN:0218-1266
Container-title:Journal of Circuits, Systems and Computers
language:en
Short-container-title:J CIRCUIT SYST COMP

Author:

RAMACHANDRAN V.¹,RAMACHANDRAN RAVI P.²,GARGOUR C. S.³

Affiliation:

1. Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada, H3G 1M8, Canada

2. Department of Electrical and Computer Engineering, Rowan University, Glassboro, New Jersey, 08028, USA

3. Department of Electrical Engineering, Ećole Technologie Supeŕieure, Montreal, Quebec, Canada, H2T 2C8, Canada

Abstract

A magnitude response preserving modification of the denominator polynomial of a causal and stable digital transfer function leads to an infinite number of decompositions into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Properties and identifications of the MIP and AMIP are given. The identifications of Schussler and Davis, and the line spectral frequency formulation are special cases of the general MIP and AMIP decompositions introduced in this paper. Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, five new continued fraction expansions (CFE) are developed, and some properties are obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218126608004423

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