Corpus ID: 119126001

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

@article{Aleksandrov2016LockinRO,
  title={Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic},
  author={K. D. Aleksandrov and N. Kuznetsov and G. Leonov and M. Yuldashev and R. Yuldashev},
  journal={arXiv: Dynamical Systems},
  year={2016}
}

• K. D. Aleksandrov, N. Kuznetsov, +2 authors R. Yuldashev
• Published 2016
• Mathematics
• arXiv: Dynamical Systems

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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.