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When has a decision-directed equalizer converged?
Kennedy, R.A.   Pulford, G.   Anderson, B.D.O.   Bitmead, R.R.  
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT;

This paper appears in: Communications, IEEE Transactions on
Publication Date: Aug 1989
Volume: 37,  Issue: 8
On page(s): 879-884
ISSN: 0090-6778
References Cited: 4
CODEN: IECMBT
INSPEC Accession Number: 3477150
Digital Object Identifier: 10.1109/26.31188
Current Version Published: 2002-08-06

Abstract
Adaptive decision-directed equalizers can become locked for long periods onto incorrect equilibria. A test involving data available at the equalizer output is proposed for determining whether an equilibrium is correct or not, up to a fixed overall delay. If an independent sequence of random variables taking values ±1 is the input to a finite impulse response filter, and the output of the filter is passed through a slicer, then the slicer output is uncorrelated if and only if it is a delayed version of the filter input. An analogous result for M-ary rather than binary data is outlined

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