An analysis of CMA for array signal processing

Constant modulus (CM) cost function is analyzed for array signal processing, which includes arbitrary source types. It is shown that CM receivers have the signal space property except two special cases. Local minima of CM cost function are completely characterized for the noiseless case. In the presence of measurement noise, the existence of CM local minima in the neighborhood of Wiener receivers is established, and their mean squared error (MSE) performance, output power, estimation bias and residue interference are evaluated. Numerical examples are obtained to demonstrate the effects of signal statistics on the CM local minima