Sufficient stability bounds for slowly varying discrete-time recursive linear filters

Author

Carini, Alberto ; Mathews, V.John ; Sicuranza, Giovanni L.

Author_Institution

Dipt. di Elettrotecnica Elettronica ed Inf., Trieste Univ., Italy

Volume

3

fYear

1997

fDate

21-24 Apr 1997

Firstpage

1877

Abstract

This paper derives sufficient time-varying bounds on the maximum variation of the coefficients of an exponentially stable, linear, time-varying and recursive filter. The stability bound is less conservative than all previously derived bounds for time-varying IIR systems. The bound is then applied to control the step size of output error adaptive IIR filters to achieve exponentially stable operation. Experimental results that demonstrate the good stability characteristics of the resulting algorithms are included in this paper

Keywords

IIR filters; adaptive filters; adaptive signal processing; circuit stability; discrete time filters; error analysis; filtering theory; linear systems; recursive filters; algorithms; discrete-time recursive linear filters; experimental results; exponentially stable operation; exponentially stable recursive filter; maximum coefficient variation; output error adaptive IIR filters; slowly varying linear filters; stability characteristics; step size control; sufficient stability bounds; sufficient time-varying bounds; time-varying IIR systems; time-varying filter; Adaptive control; Adaptive filters; Error correction; IIR filters; Lattices; Nonlinear filters; Programmable control; Size control; Stability; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

Conference_Location

Munich

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.598905

Filename

598905