NDLI: Stability of non-Wiener solutions of the filtered LMS algorithm

Content Provider	IEEE Xplore Digital Library
Author	Bermudez, J.C.M. Bershad, N.J.
Copyright Year	1996
Description	Author affiliation: Lab. de Instrumentacao Eletron., Univ. Federal de Santa Catarina, Florianapolis, Brazil (Bermudez, J.C.M.)
Abstract	This paper analyzes the stability of Non-Wiener solutions to the Filtered LMS algorithm. The algorithm inputs are sinusoidal and the loop filters are modelled as pure delays. A pair of time-invariant coupled first order difference equations are derived which define the behavior of the time varying algorithm weights. The state-transition matrix for the time-invariant difference equations is studied using root-locus techniques. The stability of the Filtered LMS algorithm is determined as a function of the algorithm step size /spl mu/, the number of taps N and the reference signal power. The theory is applied to the algorithm design for active acoustic noise cancellation. A design procedure is presented which allows the theory to be extended to frequency dependent delays in the adaptation loop. Simulation results an in shown to be in close agreement with the theory.
Starting Page	372
Ending Page	375
File Size	390175
Page Count	4
File Format	PDF
ISBN	0780330730
DOI	10.1109/ISCAS.1996.541724
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-05-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Least squares approximation Delay Adaptive filters Difference equations Noise cancellation Algorithm design and analysis Stability analysis Acoustic noise Filtering Stochastic resonance
Content Type	Text
Resource Type	Article

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