On the (non)existence of undesirable equilibria of Godard blindequalizers
Ding, Z.
Johnson, C.R., Jr.
Kennedy, R.A.
Dept. of Electr. Eng., Auburn Univ., AL;
This paper appears in: Signal Processing, IEEE Transactions on
Publication Date: Oct 1992
Volume: 40,
Issue: 10
On page(s): 2425-2432
ISSN: 1053-587X
References Cited: 9
CODEN: ITPRED
INSPEC Accession Number: 4295603
Digital Object Identifier: 10.1109/78.157287
Current Version Published: 2002-08-06
Abstract
Existing results in the literature have proved that particular
blind equalization algorithms, including Godard algorithms, are globally
convergent in an ideal and nonimplementable setting where a doubly
infinite dimensional equalizer is available for adaptation. Contrary to
popular conjectures, it is shown that implementable finite dimensional
equalizers which attempt to approximate the ideal setting generally fail
to have global convergence to acceptable equalizer parameter settings
without the use of special remedial measures. A theory based on the
channel convolution matrix nullspace is proposed to explain the failure
of Godard algorithms for such practical blind equalization situations.
This nullspace theory is supported by a simple example showing ill
convergence of the Godard algorithm
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