Study of the stability and other properties of a class of second order variable magnitude 2-D digital transfer functions with 2-parameter denominator

Author

Gargour, C.S. ; Ramachandran, V.

Author_Institution

Ecole de Technol. Superieure, Quebec Univ., Montreal, Que., Canada

Volume

2

fYear

1999

fDate

9-12 May 1999

Firstpage

683

Abstract

This paper considers a 2-D transfer function of second order in each variable containing two real parameters. The conditions that the two parameters have to satisfy in order to obtain stable transfer functions are determined. It is shown that the four basic filters, low-pass, high-pass, band-pass and band-elimination, can be obtained. Different types of contours and magnitude responses for each of these filters can be generated by suitably varying the two parameters.

Keywords

band-pass filters; band-stop filters; circuit stability; high-pass filters; low-pass filters; network parameters; network synthesis; transfer functions; two-dimensional digital filters; 2-parameter denominator; 2D digital filters; 2D transfer function; band-elimination filter; band-pass filter; contours; high-pass filter; low-pass filter; magnitude responses; second order variable magnitude transfer functions; stability; stable transfer functions; Band pass filters; Digital filters; Feedback; Finite impulse response filter; Low pass filters; Polynomials; Stability; Tellurium; Transfer functions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1999 IEEE Canadian Conference on

Conference_Location

Edmonton, Alberta, Canada

ISSN

0840-7789

Print_ISBN

0-7803-5579-2

Type

conf

DOI

10.1109/CCECE.1999.808003

Filename

808003