• Publications
  • Influence
Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory
TLDR
In this survey an attempt is made to discuss and fill some of the gaps identified between mathematical control theory, the theory of dynamical systems and the engineering practice of phase-locked loops. Expand
  • 90
  • 4
  • PDF
Analytical Method for Computation of Phase-Detector Characteristic
TLDR
Discovery of undesirable hidden oscillations, which cannot be found by simulation, in models of phase-locked loop (PLL) showed the importance of development and application of analytical methods for the analysis of such models. Expand
  • 75
  • 2
  • PDF
Nonlinear Analysis of Phase-locked Loop-Based Circuits
TLDR
Simulation and mathematical modeling of high-frequency signals for analog Costas loop and analog phase-locked loop . Expand
  • 7
  • 2
Nonlinear dynamical model of Costas loop and an approach to the analysis of its stability in the large
TLDR
This paper is devoted to the rigorous construction of nonlinear dynamical model of classical Costas loop, which allows one to apply numerical simulation and analytical methods (various modifications of absolute stability criteria for systems with cylindrical phase space) for the effective analysis of stability in the large. Expand
  • 46
  • 1
  • PDF
Tutorial on dynamic analysis of the Costas loop
TLDR
This work was supported by Russian Science Foundation (project 14-21-00041). Expand
  • 38
  • 1
  • PDF
Rigorous mathematical definitions of the hold-in and pull-in ranges for phase-locked loops
Abstract Various ranges of frequency deviation are widely used by engineers to describe frequency deviations for which the PLL-based circuits achieve lock under some additional conditions. InExpand
  • 27
  • 1
A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis
TLDR
In this paper a short survey on derivation of nonlinear mathematical models of BPSK Costas loop, used for predesign and post-design analysis, is presented. Expand
  • 32
  • 1
  • PDF
Limitations of the classical phase-locked loop analysis
TLDR
We show that the use of simplified mathematical models and the application of simulation may lead to wrong conclusions concerning the operability of PLL-based circuits. Expand
  • 28
  • 1
  • PDF
Elegant analytic computation of phase detector characteristic for non-sinusoidal signals
Abstract A new elegant analytical method, based on the convolution theorem, for the computation of multiplier/mixer phase-detector characteristics is discussed. For various nonsinusoidal waveforms ofExpand
  • 8
  • 1
Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE
TLDR
A survey of various phase-locked loop based circuits for which difficulties of simulation related to the hidden oscillations take place in MATLAB and SPICE. Expand
  • 107
...
1
2
3
4
5
...