A new differential detection algorithm using multiple-symbol observati
on interval for the demodulation of a GMSK signal is described. This t
echnique is based on a maximum-likelihood sequence estimation of the t
ransmitted phases rather than symbol-by-symbol detection. Upper and lo
wer bounds on the bit error probability of the described detector in t
he case of an AWGN channel are derived. Comparisons with the classical
coherent detection algorithm of a CPM signal show that the proposed d
etection algorithm is quite attractive.