On a closed form solution to the constant modulus factorization problem

We consider the problem of separating independent constant modulus signals received by an antenna array. Assuming that the statistics of the phases of the signals are known, we derive a closed form solution for the array response vector from which the original signals can be recovered. Our method is based on estimating the higher order statistics of the received signals and the estimate of the array response vector is shown to be asymptotically unbiased. Simulation results are included to demonstrate the feasibility of the algorithm