Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.598905