High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation

Problems of rigorous mathematical analysis of PLL are discussed. An analytical method for phase detector characteristics computation is suggested and new classes of phase detector characteristics are computed. Effective methods for nonlinear analysis of PLL are discussed.

[1]  Gennady A. Leonov,et al.  Computation of phase detector characteristics in phase locked loops for clock synchronization , 2008 .

[2]  A. LeonovG..  Lyapunov quantities , limit cycles and strange behavior of trajectories in two-dimensional quadratic systems , 2008 .

[3]  Nikolay V. Kuznetsov,et al.  Time-Varying Linearization and the Perron Effects , 2007, Int. J. Bifurc. Chaos.

[4]  Nikolay V. Kuznetsov,et al.  Analysis and Design of Computer Architecture Circuits with Controllable Delay Line , 2009, ICINCO-SPSMC.

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

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

[7]  I. VagaitsevV.,et al.  Localization of hidden Chua ’ s attractors , 2022 .

[8]  S. M. Seledzhi,et al.  An astatic phase-locked system for digital signal processors: circuit design and stability , 2005 .

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

[10]  Nikolay V. Kuznetsov,et al.  Algorithm for constructing counterexamples to the Kalman problem , 2010 .

[11]  Gennady A. Leonov,et al.  Stability and Oscillations of Solutions of Integro-Differential Equations of Pendulum—like Systems , 1996 .

[12]  G. Leonov,et al.  Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications , 1996 .

[13]  Nikolaos I. Margaris.  Theory of the Non-linear Analog Phase Locked Loop , 2004 .

[14]  G.L. Fredendall,et al.  Automatic Frequency and Phase Control of Synchronization in Television Receivers , 1943, Proceedings of the IRE.