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

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.

PLL and Costas loop based carrier recovery circuits for 4QAM: non-linear analysis and simulation

“…9). Therefore we can use estimates of the lock-in range of classic PLL with corresponding PD characteristics [10,24,25].…”