An adaptive CDMA receiver scheme assuming perfect synchronization has been generalized in this thesis to the asynchronous channel, a much more practical assumption of the real system. Similar formulas are derived and as its synchronous version, it is still near-far resistant and requires no knowldge [sic] of received signal amplitudes and training sequences. Thus, sophisticated high-precision power control and user power estimation are not necessary and the receiver is particularly useful in mobile communications since it can adjust itself adaptively to changes in the power of the users. Tile convergence and transient behavior of the receiver are also investigated and found to have similar results to its synchronous counterpart.

A new way to analyze the error performance of the decorrelator is also proposed and the error probability of the one-shot decorrelator is formulated for the general case in an alternative way using the new idea, which is much simpler. Furthermore, the singularity problem associated with the one-shot decorrelator is addressed and its effect on the performance of the receiver is discussed.