Limitations of the classical phase-locked loop analysis

Abstract

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 for its study. In this work the limitations of classical engineering phase-locked loop analysis are demonstrated, e.g., hidden oscillations, which can not be found by simulation, are discussed. It is shown that the use of simplified dynamical models and the application of simulation may lead to wrong conclusions concerning the operability of PLL-based circuits.

References in corpus (1)

• Limitations of PLL simulation: hidden oscillations in MatLab and SPICE

Cited by in corpus (9)

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• Hold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory
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• Hidden chaotic attractors in fractional-order systems
• Limitations of PLL simulation: hidden oscillations in MatLab and SPICE
• A short survey on nonlinear models of the classic Costas loop: rigorous derivation and limitations of the classic analysis
• Solution of the Gardner problem on the lock-in range of phase-locked loop
• Lock-in range of classical PLL with impulse signals and proportionally-integrating filter
• Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic