6533b7d1fe1ef96bd125d7b7

RESEARCH PRODUCT

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

K. D. AleksandrovN. V. KuznetsovG. A. LeonovM. V. YuldashevR. V. Yuldashev

subject

FOS: MathematicsHardware_INTEGRATEDCIRCUITSDynamical Systems (math.DS)Mathematics - Dynamical Systems

description

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.

yearjournalcountryeditionlanguage
2016-03-28
http://arxiv.org/abs/1603.08401