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

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada

Volume

2

fYear

2001

fDate

6-9 May 2001

Firstpage

841

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

Keywords

frequency response; numerical stability; polynomials; transfer functions; 1D discrete reactance function; anti-mirror-image polynomial; continued fraction expansion; decomposition; denominator polynomial; frequency response; mirror-image polynomial; stability; transfer function; z-domain; Artificial intelligence; Frequency; Polynomials; Stability; Testing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921202

Filename

921202