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Mean square convergence of adaptive envelope-constrained filtering

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UNSPECIFIED (2002) Mean square convergence of adaptive envelope-constrained filtering. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 50 (6). pp. 1429-1437. ISSN 1053-587X

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Abstract

A new type of adaptive filtering scheme for solving an envelope constrained filter design problem in a stochastic environment has been presented. The steady-state stochastic analysis of the adaptive scheme is established in the sense of mean square. It is shown that if a given initial point is in a neighborhood of the origin, the adaptive scheme with a fixed step-size produces a filter that converges in the mean square sense to within an upper boundary of the noise-free optimum filter. Numerical examples involving pulse compression and channel equalization are presented to illustrate the convergence characteristics of the adaptive scheme operating in a stochastic environment.

Item Type: Journal Article
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Journal or Publication Title: IEEE TRANSACTIONS ON SIGNAL PROCESSING
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
ISSN: 1053-587X
Date: June 2002
Volume: 50
Number: 6
Number of Pages: 9
Page Range: pp. 1429-1437
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/10915

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