NDLI: Convex cost functions in blind equalization

Content Provider	IEEE Xplore Digital Library
Author	Vembu, S. Verdu, S. Kennedy, R.A. Sethares, W.
Copyright Year	1991
Abstract	Existing blind adaptive equalizers that use nonconvex cost functions and stochastic gradient descent suffer from lack of global convergence to an equalizer setup that removes sufficient ISI when an FIR equalizer is used. The authors impose convexity on the cost function and anchoring of the equalizer away from the all-zero setup. They establish that there exists a globally convergent blind equalization strategy for 1D pulse amplitude modulation (PAM) systems with bounded input data (discrete or continuous) even when the equalizer is truncated. The resulting cost function is a constrained l/sub 1/ norm of the joint impulse response of the channel and the equalizer. The results apply to arbitrary linear channels (provided there are no unit circle zeros) and apply regardless of the initial ISI (that is whether the eye is initially open or closed). They also show a globally convergent stochastic gradient scheme based on an implementable approximation of the l/sub 1/ cost function.<>
Sponsorship	IEEE Signal Processing Society
Starting Page	1952
Ending Page	1960
Page Count	9
File Size	934503
File Format	PDF
ISSN	1053587X
Volume Number	42
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cost function Blind equalizers Stochastic processes Pulse modulation Amplitude modulation Intersymbol interference Fading Adaptive equalizers Convergence Finite impulse response filter
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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