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20152021
most citedHold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory

125 citations · 296 across the 16 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

eess.SY2015★ 62 cited

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…

math.DS2015★ 30 cited

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…

cs.OH2015★ 27 cited

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…

math.DS2015★ 15 cited

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…

math.DS2015★ 125 cited

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…