Analysis of the Joint Functioning of the Timing and Phase Synchronization Algorithms of the GMSK-Signal

The paper provides an analysis of phase and timing synchronization algorithms for a GMSK signal with a changing frequency shift without using known data in the signal, based on raising to a power. To eliminate the changing frequency shift, a feedback loop with first-order astatism is used. The possibility of the simultaneous operation of these algorithms is shown, a joint block diagram for their implementation is presented. The numerical dependences of the variances of the phase and timing estimates versus the signal-to-noise ratio are calculated with various values of the coefficient in the feedback loop and the filter length as parameters.