NDLI: Substituting the cumulants in the super-exponential blind equalization algorithm

Content Provider	IEEE Xplore Digital Library
Author	Yeredor, A.
Copyright Year	2008
Description	Author affiliation: Sch. of Electr. Eng., Tel-Aviv Univ., Tel-Aviv (Yeredor, A.)
Abstract	The Shalvi-Weinstein super-exponential algorithm for blind channel equalization employs empirical high-order cross-cumulants between the equalizer's input and output for iterative updates of the equalizer. When the source signal has (nearly) null cumulants of the required order, the algorithm's performance may be severely degraded. Rather than resort to even higher-order cumulants in such cases, we propose to employ an alternative statistic, based on second-order derivatives (Hessians, evaluated away from the origin) of the joint log-characteristic function of the equalizer's input and output. These Hessians admit straightforward empirical estimates, maintain the "philosophy of operation" of the algorithm, and, as we demonstrate in simulation, can significantly improve its performance in such (and in other) cases.
Starting Page	3477
Ending Page	3480
File Size	239045
Page Count	4
File Format	PDF
ISBN	9781424414833
ISSN	15206149
DOI	10.1109/ICASSP.2008.4518400
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-03-31
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Blind equalizers Higher order statistics Matrices Covariance matrix Iterative algorithms Statistical distributions Direction of arrival estimation Degradation Convergence Delay charrelation matrix super-exponential blind equalization characteristic function Hessian
Content Type	Text
Resource Type	Article

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