Performance analysis of a CMA-based adaptive multiuser detector

We present a performance analysis of a linear multiuser detector whose parameters are selected according to a statistical criterion for blind source separation previously proposed by the authors. Our approach exploits the properties of the well-known constant modulus (CM) criterion and has been shown to be free of undesirable minima in the absence of noise. We provide a closed-form expression of the mean square error (MSE) achieved at the minima when noise is present and show that it is reached the same value as with the conventional minimum MSE (MMSE) detector. This way, we demonstrate that our blind adaptive source separation algorithm is able to implement the MMSE detector without the need of training sequences.