1. A direct sequence spread spectrum (DSSS) signal processing architecture including a receiver for receiving at least a time segment of code division multiple access (CDMA) signals that is sufficient to allow high-reliability acquisition of the signals, said architecture comprising: a memory for storing receiver output data collected over said time segment; means for turning off the receiver after said receiver output data has been stored in said memory; means for reading said data from said memory; a code/Doppler generator for providing a segment of a replica signal; a correlator for measuring correlation between the replica segment and a segment of the receiver output data, said correlator being responsive to said receiver output data segment read from said memory and to said replica segment; detection means responsive to said correlator for detecting a predetermined correlation level; and sampling means for sampling receiver output baseband data at a non-integer oversampling rate so as to produce a sampling roll whereby an accurate correlation peak is obtained with minimal memory and a minimal sampling rate.