Receiver for multiuser detection of cdma signals

A method and wireless communication apparatus for receiving a plurality of communication signals transmitted in a wireless code division multiple access format. A channel response for each received communication signal is estimated. A system response matrix using codes and the channel responses of the received communication signals is constructed. The system response matrix is used in connection with matched filtering the received communication signals and to produce an objective matrix. The filtered communication signals are processed in a cancellation feedback loop to produce a set of symbols of the received communications including iterative processing with an interference cancellation matrix and processing with a feedback interference construction matrix. Preferably, the objective matrix is functionally related to the interference cancellation matrix and the feedback interference construction matrix.