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

K. D. Aleksandrov; N. V. Kuznetsov; G. A. Leonov; M. V. Yuldashev; R. V. Yuldashev

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arXiv · 1603.08401

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

K. D. Aleksandrov·N. V. Kuznetsov·G. A. Leonov·M. V. Yuldashev·R. V. Yuldashev

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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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K. D. Aleksandrov, N. V. Kuznetsov, G. A. Leonov, M. V. Yuldashev, R. V. Yuldashev. 2016-03-28. Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic. https://arxiv.org/abs/1603.08401

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