An adaptive multi-stage parallel interference cancellation (PIC)
receiver is considered for a multi-rate DS-CDMA system. In each stage of
the adaptive multi-stage PIC receiver, multiple access interference
(MAI) estimates are obtained using the sub-bit estimates from the
previous stage and the adaptive weights for the sub-bit estimates. The
adaptive weights are obtained by minimizing the mean squared error
between the received signal and its estimate through a least mean square
(LMS) algorithm. It is shown that the adaptive multi-stage PIC receiver
achieves smaller BER than the matched filter receiver, multi-stage PIC
receiver, and multi-stage partial PIC receiver for the multi-rate
DS-CDMA system in a Rayleigh fading channel