Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic

2016/03/28 by Aleksandrov, K. D., Kuznetsov, N. V., Leonov, G. A. +2
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.08401

Abstract

In the present work PLL-based circuits with sinusoidal phase detector characteristic and active proportionally-integrating (PI) filter are considered. The notion of lock-in range -- an important characteristic of PLL-based circuits, which corresponds to the synchronization without cycle slipping, is studied. For the lock-in range a rigorous mathematical definition is discussed. Numerical and analytical estimates for the lock-in range are obtained.

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