Blind adaptive equalizer based on pdf matching for Rayleigh time-varying channels

In this paper, we propose a new adaptive technique for blind equalisation for fast time-varying channels. The proposed approach is based on fitting the probability density function (pdf) of the equalizer output to the desired pdf of the corresponding symbol alphabet. The underlying pdf at the equalizer output is estimated by means of the Parzen Window method. The cost function of the proposed technique can be measured by a stochastic gradient descent approach. The performance of the proposed adaptation strategy is assessed by a number of simulations, and benchmarked against CMA under QPSK modulation in a doubly-dispersive environment.