This paper reconsiders the Minimum Mean-Squared Error (MMSE) single user adaptive receiver for the asynchronous Direct Sequence – Code Division Multiple Access (DS-CDMA) system. During the training period the classical MMSE receiver adapts the tap weights once every data bit interval. Our aim is to reduce the overhead introduced during the training period. This will be achieved by adapting the tap weights several times during each bit interval, in an iterative manner. Due to this iterative process, the adaptive filter achieves a faster convergence rate. Hence, the training interval or Multiple-Access Interference (MAI) can be significantly reduced. Nevertheless, this performance improvement is computational expensive.

Keywords: DS-CDMA, MMSE adaptive receiver, Least mean square (LMS), Recursive least square (RLS).