Reduced state transition Viterbi differential detection of M-ary DPSK signals

A reduced state transition Viterbi differential detection (RST VDD) consisting of conventional one symbol DD (1DD) and 3^L-1 state VDD is proposed for the reception of M-ary differential phase shift keying (MDPSK) signals, where L+1 is the observation time length in symbols. The proposed RST VDD has a significantly lower degree of computational complexity compared with the M^L-1 state VDD. The bit error rate (BER) performance of 8DPSK in additive white Gaussian noise (AWGN) channels is evaluated by computer simulation