A new block demodulation (NBD) of MDPSK with loa complexity is propose
d. The error patterns of conventional differential detection (CDD) are
analysed, and the decisions of CDD and the knowledge of error pattern
s are employed to reduce the complexity of optimum block demodulation
(OBD). The complexity of NBD increases in a roughly linear fashion wit
h block length N, while OBD increases exponentially with N. Simulation
s show almost the same performance.