The Influence of Phase-Dependent Loop Noise on the Cycle Slipping of Symbol Synchronizers

The spectral density of the loop noise in the equivalent loop model of a symbol synchronizer depends on the phase error. Although this dependence has only a minor influence on the linearized mean-square synchronization error, we demonstrate that it has a major effect on the mean cycle slip time of the symbol synchronizer. A simple approximate expression for the mean cycle slip time is presented, by means of which this effect can be estimated quite accurately.