A transmitter site transmits a plurality of different data signals at a chip rate over a shared spectrum in a code division multiple access communication system. Each transmitted data signal experiences a similar channel response. A combined signal of the transmitted data signals is received. The combined signal is sampled at a multiple of the chip rate. The channel response for the combined signal is determined. A spread data vector is determined using the combined signal samples and the estimated channel response. The data of the different data signals is determined using the spread data vector.