Synchronization failure rates in master-slave synchronized phase-locked loops

The authors present a method for the computation of synchronization failure rates in master-slave synchronized phase-locked loops (PLLs). The method assumes (propagation) delay times that are long compared with tracking loop time constants and allows for system optimizations of the slaved PLL in terms of improved tracking performance. The authors consider frequency turnaround ratios of coherent transponders and discuss the impact of the converted transponder phase jitter on the tracking performance of the slaved PLL. It is shown that, for optimum synchronization performance, the bandwidth of the slaved synchronizers can be traded between the tracking of received phase jitter and the reduction of thermal noise