CMA FRACTIONALLY-SPACED EQUALIZERS - STATIONARY-POINTS AND STABILITY UNDER IID AND TEMPORALLY CORRELATED SOURCES

A common assumption in blind equalization schemes using the Constant M odulus Algorithm (CMA) is that the source sequence is an independent i dentically distributed (i.i.d.) sequence with equiprobable symbols. Mu ch of the analysis demonstrating the global convergence of CMA in a no iseless channel to an open-eye setting uses this assumption. This work investigates the effect of source statistics (distributions and corre lations) on the location of CMA stationary points in the fractionally sampled equalizer case under the conditions of equalizability. The wor k identifies the stationary points as the solution set of a system of multivariate polynomial equations with monomial coefficients given by the source moments. (C) 1998 John Wiley & Sons, Ltd.