6533b7d5fe1ef96bd1265071

RESEARCH PRODUCT

Nonlinear analysis of classical phase-locked loops in signal's phase space

Gennady A. LeonovM. V. YuldashevM. V. YuldashevRenat V. YuldashevRenat V. YuldashevNikolay KuznetsovNikolay Kuznetsov

subject

Multiplier (Fourier analysis)Phase-locked loopNonlinear systemControl theoryPhase spaceComputationHardware_INTEGRATEDCIRCUITSWaveformPhase detector characteristicHardware_PERFORMANCEANDRELIABILITYMultistabilityMathematics

description

Abstract Discovery of undesirable hidden oscillations, which cannot be found by the standard simulation, in phase-locked loop (PLL) showed the importance of consideration of nonlinear models and development of rigorous analytical methods for their analysis. In this paper for various signal waveforms, analytical computation of multiplier/mixer phase-detector characteristics is demonstrated, and nonlinear dynamical model of classical analog PLL is derived. Approaches to the rigorous nonlinear analysis of classical analog PLL are discussed.

https://doi.org/10.3182/20140824-6-za-1003.02772