Title :
Sufficient excitation and stable reduced-order adaptive IIR filtering
Author :
Johnson, C. Richard, Jr. ; Anderson, B.D.O.
Author_Institution :
Cornell University, Ithaca, NY, USA
fDate :
12/1/1981 12:00:00 AM
Abstract :
A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.
Keywords :
Adaptive filters; Asymptotic stability; Filtering; IIR filters; Lyapunov method; Matched filters; Parameter estimation; Robustness; Signal processing algorithms; Yield estimation;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1981.1163701