New z-domain continued fraction expansions based on an infinite number of mirror-image and anti-mirror-image polynomial decompositions

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

doi:10.1142/S0218126608004423

New z-domain continued fraction expansions based on an infinite number of mirror-image and anti-mirror-image polynomial decompositions

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

Electrical Engineering

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

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.

Original language	English (US)
Pages (from-to)	487-498
Number of pages	12
Journal	Journal of Circuits, Systems and Computers
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S0218126608004423
State	Published - Jun 2008

All Science Journal Classification (ASJC) codes

Hardware and Architecture
Electrical and Electronic Engineering

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AB - 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.

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New z-domain continued fraction expansions based on an infinite number of mirror-image and anti-mirror-image polynomial decompositions

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