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20162018
most citedSolution of the Gardner problem on the lock-in range of phase-locked loop

5 citations · 5 across the 2 of their papers we have counts for

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math.DS20175 cited

Solution of the Gardner problem on the lock-in range of phase-locked loop

N. V. Kuznetsov, G. A. Leonov, M. V. Yuldashev +1

The lock-in frequency and lock-in range concepts were introduced in 1966 by Floyd Gardner to describe the frequency differences of phase-locked loop based circuit for which the loo…

math.DS2017

A short survey on QPSK Costas loop mathematical models

N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov +2

The Costas loop is a modification of the phase-locked loop circuit, which demodulates data and recovers carrier from the input signal. The Costas loop is essentially a nonlinear co…

math.DS2017

Optical Costas loop: pull-in range estimation and hidden oscillations

N. V. Kuznetsov, G. A. Leonov, S. M. Seledzhi +2

In this work we consider a mathematical model of the optical Costas loop. The pull-in range of the model is estimated by analytical and numerical methods. Difficulties of numerical…

math.DS2016

Lock-in range of classical PLL with impulse signals and proportionally-integrating filter

K. D. Aleksandrov, N. V. Kuznetsov, G. A. Leonov +2

In the present work the model of PLL with impulse signals and active PI filter in the signal's phase space is described. For the considered PLL the lock-in range is computed analyt…

math.DS2016

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 +2

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 -…