论文信息 - Differential equations of Costas loop

Differential equations of Costas loop

It is well known, that to effectively simulate and investigate PLL systems, nonlinear mathematical model has to be derived. This article provides mathematical model of Costas Loop circuit for wide range of signal waveforms. Investigation of Costas Loop in signal domain is reduced to nonlinear phase domain model of PLL with special phase detector characteristics. This allows to avoid a number of numerical problems in the simulation of Costas Loop in signal domain.

[1] J. Salz,et al. Synchronization Systems in Communication and Control , 1973, IEEE Trans. Commun..

[2] Gennady A. Leonov,et al. Stability and bifurcations of Phase-Locked Loops for Digital Signal Processors , 2005, Int. J. Bifurc. Chaos.

[3] Nikolay V. Kuznetsov,et al. Phase Locked Loops Design and Analysis , 2008, ICINCO-SPSMC.

[4] Nikolay V. Kuznetsov,et al. High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation , 2011, ICINCO.

[5] S. Cooper,et al. Remote Control , 2002, Nursing standard (Royal College of Nursing (Great Britain) : 1987).

[6] Nikolay V. Kuznetsov,et al. Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays , 2018, ICINCO.

[7] Draft,et al. Nonlinear analysis of the Costas loop and phase-locked loop with squarer , 2012 .

[8] Daniel Y. Abramovitch,et al. Phase-locked loops: a control centric tutorial , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[9] R. V. Yuldashev,et al. Analytical methods for computation of phase-detector characteristics and PLL design , 2011, ISSCS 2011 - International Symposium on Signals, Circuits and Systems.

[10] V. YuldashevR.,et al. Computation of Phase Detector Characteristics in Synchronization Systems , 2012 .