A code division multiple access communication system transmits a pilot and traffic signal over a shared spectrum. The pilot and traffic signal have an associated code. Signals are received over the shared spectrum. The received signals are sampled. The samples are delayed to produce a window. The window has evenly time spaced samples. Each window sample is despread with a pilot code. A weight for each despread pilot code window sample is determined using an adaptive algorithm. Each window sample is despread with a traffic code. Each despread traffic code window sample is weighted with a corresponding weight of the determined weights. The despread traffic code window sample are combined as data of the traffic signal.