A blind equalization algorithm for multimodulus square-QAM signals

We present a generic and an efficient multimodulus family of blind equalization algorithm for use in the higherorder quadrature amplitude modulation based digital communication systems. The proposed algorithm is memoryless Bussgang-type and is based on a stochastic gradient descent of a constrained convex cost function. We show it to be capable of blindly equalizing the channel and recovering the carrier phase simultaneously. We also provide the dynamic convergence analysis of the proposed adaptive algorithm.