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This paper presents, a comprehensive coverage of direct-sequence spread-spectrum fast acquisition techniques and architectures, their performance and complexity. A TDMA/CDMA transmission structure is presented as a burst of direct sequence spread spectrum signals. Fast parallel acquisition architectures are overviewed, examined, and compared in the perspective of performance and complexity. New architectures are presented, showing tradeoff between performance and complexity. The architectures evaluation is made from a novel point of view. It is based on the acquisition success probability in a finite time, instead of evaluating the traditional T~aq. All architectures use parallel processing with sequence matched filters, partial sequence matched filters, and FFT algorithms.