1. A method for use in receiving a plurality of data signals transmitted from a transmitter site over a shared spectrum in a code division multiple access communication system, each transmitted data signal experiencing a similar channel response, the method comprising: receiving a combined signal of the transmitted data signals over the shared spectrum; sampling the combined signal at a multiple of a chip rate of the transmitted data signals; estimating a channel response for the combined signal at the multiple of the chip rate; determining a first element of a spread data vector using the combined signal samples and the estimated channel response; using a factor from the first element determination to determine remaining elements of the spread data vector; and estimating data of the data signals using the determined elements of the spread data vector.