Limiter effect on cycle slip performance of synchronization loops

A formula suitable for numerical evaluation is derived for the mean cycle slip time of a first-order loop with state-dependent spectral density of the loop noise. The formula is applied to a synchronizer with sinusoidal type limiter phase detector. The accuracy of the asymptotic expression due to Moeneclaey (1985) is evaluated. Better cycle slip performance of the considered synchronizer compared to that with multiplier phase detector is reported at the loop signal-to-noise ratio (SNR) /spl alpha/>2.