NDLI: Analysis of alternative realizations of adaptive IIR filters

Content Provider	IEEE Xplore Digital Library
Author	Nayeri, M. Jenkins, W.K.
Copyright Year	1988
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA (Nayeri, M.; Jenkins, W.K.)
Abstract	A general theory, based on an analysis of stationary points, presented which shows that whenever a direct-form IIR (infinite-impulse-response) filter with unimodal MSE (mean-squared-error) surface is transformed into an alternate realization, the MSE surface associated with the new structure may have additional stationary points, which are either new equivalent minima (and hence indistinguishable at the filter output), or saddle points, which are unstable solutions in the parameter space. The general theory is specialized to parallel and cascade forms. It is also shown that, for both the parallel and cascade forms, a gradient algorithm will find a global minimum as long as there is some noise present to jitter the solution away from the reduced-order manifolds which may contain saddle points. Experimental examples were presented to illustrate that the predicted behavior is indeed observed in practice.<>
Starting Page	2157
Ending Page	2160
File Size	220241
Page Count	4
File Format	PDF
DOI	10.1109/ISCAS.1988.15370
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-06-07
Publisher Place	Finland
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	IIR filters Jacobian matrices Adaptive filters Filter bank Equations Transfer functions
Content Type	Text
Resource Type	Article

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