Fast algorithm for adaptive blind equalization using order-α Renyi´s entropy

In this paper a novel blind equalization algorithm based on stochastic gradient descent minimization of order-α Renyi´s entropy and designed for constant modulus signals is introduced. The algorithm applies a new nonparametric estimator for Renyi´s entropy, which has been recently proposed and allows to compute any order of entropy. In comparison with conventional adaptive blind techniques, such us CMA, the proposed algorithm shows a remarkable increase in convergence speed with only a moderate increase in computational cost.