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Sufficient excitation and stable reduced-order adaptive IIR filtering

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2 Author(s)
Johnson, C. ; Virginia Polytechnic Institute and State University, Blacksburg, VA ; Anderson, B.D.O.

A perturbed error system is developed 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-output (BIBO) property. This implies that despite order insufficiency the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '81.  (Volume:6 )

Date of Conference:

Apr 1981