CMA fractionally spaced equalizers: stationary points and stability under i.i.d. and temporally correlated sources
James P.F. LeBlanc, Inbar Fijalkow, C.R. Johnson · International Journal of Adaptive Control and Signal Processing · 1998
A common assumption in blind equalization schemes using the Constant Modulus Algorithm (CMA) is that the source sequence is an independent identically distributed (i.i.d.) sequence with equiprobable symbols. Much of the analysis demonstrating the global convergence of CMA in a noiseless channel to an open-eye setting uses this assumption. This work investigates the effect of source statistics (distributions and correlations) on the location of CMA stationary points in the fractionally sampled equalizer case under the conditions of equalizability. The work identifies the stationary points as the solution set of a system of multivariate polynomial equations with monomial coefficients given by the source moments. © 1998 John Wiley & Sons, Ltd.