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 signalto-noise ratio operation (the usual case of interest intracking),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.
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