Behaviour of stability tests for two-dimensional digital recursive filters when faced with rounding errors

Author

Barret, M. ; Benidir, M.

Author_Institution

Supelec, Metz, France

Volume

44

Issue

4

fYear

1997

fDate

4/1/1997 12:00:00 AM

Firstpage

319

Lastpage

323

Abstract

In this paper, the behaviour of four recent algorithms, which test the stability of two-dimensional (2-D) real recursive filters, are compared when faced with rounding errors in floating point arithmetic. Experimental results, comparing the data given by these algorithms when they are implemented either in floating point arithmetic, or with infinite precision in formal calculus, are presented. It appears with this comparison, that this behaviour is a very important point for choosing such an algorithm among all the existing ones

Keywords

IIR filters; asymptotic stability; circuit stability; circuit testing; floating point arithmetic; roundoff errors; two-dimensional digital filters; IIR digital filters; algorithm robustness; asymptotic stability; floating point arithmetic; formal calculus; infinite precision; rounding errors; stability tests; two-dimensional digital recursive filters; Application software; Digital filters; Floating-point arithmetic; IIR filters; Multidimensional signal processing; Polynomials; Roundoff errors; Signal processing algorithms; Stability; Testing;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.566649

Filename

566649