Performance analysis of a joint matched filter based synchronization method for direct sequence spread spectrum radio

An acquisition method for direct-sequence spread spectrum signals is proposed. This method is a combination of an N-tap matched filter and a long M*N-tap matched filter, where N and M are the length of the spreading pseudo-noise sequence, and the length of the header sequence, respectively. Differential phase-shift keying modulation is used. The analytical performance analysis of the method is derived in terms of detection and false alarm probabilities. The performance is evaluated at various fading conditions with additive white Gaussian noise. An equal tap finite impulse response filter is used to increase the performance by combining multipath components of the channel.