Bit synchronization of differentially detected MSK and GMSK

The filter-square bit synchronizer has been previously proposed and shown to give near optimum performance for coherent PSK systems. In this paper, the same bit synchronization scheme is analyzed for a differentially detected GMSK system. It is shown that the filter-square bit synchronizer can successfully work in a differential phase detection receiver. By making linear approximations appropriate for high loop signal-to-noise ratio operation (the usual case of interest in tracking), it is demonstrated that the mean-square bit sync jitter of differentially detected GMSK system reveals striking similarities both qualitatively and quantitatively in comparison with that of a coherent PSK system.