Convergence and stability analysis of a synchronous adaptive CDMA receiver

A thorough investigation on the convergence and stability of an adaptive synchronous CDMA receiver is presented. The receiver consists of a decorrelator at the first stage and an adaptive interference canceler at the second stage. By using a steepest descent algorithm that minimizes the output signal energy to adaptively control the weights, neither the knowledge of the users´ received amplitudes nor the use of training sequences is required. The system is near-far resistant, and its error performance approaches the single-user bound when the interferers´ SNRs are high. Sufficient conditions for the receiver to achieve convergence are derived, and their properties are analyzed