125 citations · 296 across the 16 of their papers we have counts for
16 papers
The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops
Nikolay V. Kuznetsov, Dmitry G. Arseniev, Mikhail V. Blagov +4
In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is o…
The birth of the global stability theory and the theory of hidden oscillations
N. V. Kuznetsov, M. Y. Lobachev, M. V. Yuldashev +5
The first mathematical problems of the global analysis of dynamical models can be traced back to the engineering problem of the Watt governor design. Engineering requirements and c…
Nonlinear analysis of charge-pump phase-locked loop: the hold-in and pull-in ranges
N. V. Kuznetsov, A. S. Matveev, M. V. Yuldashev +1
In this paper a fairly complete mathematical model of CP-PLL, which reliable enough to serve as a tool for credible analysis of dynamical properties of these circuits, is studied.…
Comment on "Analysis of a Charge-Pump PLL: A New Model" by M. van Paemel
N. V. Kuznetsov, M. V. Yuldashev, R. V. Yuldashev +4
In this short communication we comment on the non-linear mathematical model of CP-PLL introduced by V.Paemel. We reveal and obviate shortcomings in the model.
PLL and Costas loop based carrier recovery circuits for 4QAM: non-linear analysis and simulation
N. V. Kuznetsov, J. Ladvanszky, M. V. Yuldashev +1
Design of stable carrier recovery circuits are used in many applications: wireless digital communication, optical communication, microwave devices and other applications. Quadratur…
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…
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…
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…
Hidden and self-excited attractors in Chua circuit: SPICE simulation and synchronization
M. A. Kiseleva, E. V. Kudryashova, N. V. Kuznetsov +4
Nowadays various chaotic secure communication systems based on synchronization of chaotic circuits are widely studied. To achieve synchronization, the control signal proportional t…
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…
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 -…
A Survey on Dynamic Analysis of the Costas Loop
R. E. Best, N. V. Kuznetsov, G. A. Leonov +2
This survey is devoted to the dynamic analysis of the Costas loop. In particular the acquisition process is analyzed in great detail. Acquision is most conventiently described by a…
Limitations of the classical phase-locked loop analysis
N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov +3
Nonlinear analysis of the classical phase-locked loop (PLL) is a challenging task. In classical engineering literature simplified mathematical models and simulation are widely used…
Limitations of PLL simulation: hidden oscillations in MatLab and SPICE
G. Bianchi, N. V. Kuznetsov, G. A. Leonov +2
Nonlinear analysis of the phase-locked loop (PLL) based circuits is a challenging task, thus in modern engineering literature simplified mathematical models and simulation are wide…
A short survey on nonlinear models of the classic Costas loop: rigorous derivation and limitations of the classic analysis
R. E. Best, N. V. Kuznetsov, O. A. Kuznetsova +3
Rigorous nonlinear analysis of the physical model of Costas loop --- a classic phase-locked loop (PLL) based circuit for carrier recovery, is a challenging task. Thus for its analy…
Hold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory
G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev +1
The terms hold-in, pull-in (capture), and lock-in ranges are widely used by engineers for the concepts of frequency deviation ranges within which PLL-based circuits can achieve loc…