A statistical analysis of the synchronization of a binary receiver

a very special case of the synchronization problem is considered. The information-bearing signal is a rectangular waveform and is tmnsmitted through a channel perturbed by a stationary white Gaussian noise. A sinusoidal synchronizing signal is assumed to be transmitted separately from the informationbearing signal and is also perturbed by an independent noise. The Bayes receiver is considered for the detection of the informationbearing signal, s and a synchronizer with a narrow-band filter and an ideal phase detector is assumed.