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

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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Pages841-844
Number of pages4
DOIs
StatePublished - Dec 1 2001
Event2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 - Sydney, NSW, Australia
Duration: May 6 2001May 9 2001

Publication series

NameISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Volume2

Other

Other2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
CountryAustralia
CitySydney, NSW
Period5/6/015/9/01

All Science Journal Classification (ASJC) codes

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

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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