Analytical methods for computation of phase-detector characteristics and PLL design

@article{Kuznetsov2011AnalyticalMF,
  title={Analytical methods for computation of phase-detector characteristics and PLL design},
  author={Nikolay V. Kuznetsov and Gennady A. Leonov and Marat V. Yuldashev and Renat V. Yuldashev},
  journal={ISSCS 2011 - International Symposium on Signals, Circuits and Systems},
  year={2011},
  pages={1-4}
}
An effective analytical methods for computation of phase detector characteristics are suggested. For high-frequency oscillators new classes of such characteristics are described. Approaches to a rigorous nonlinear analysis of PLL are discussed. 
View on IEEE
doi.org
16 Citations
Background Citations
6
Methods Citations
3

Figures from this paper

16 Citations

Citation Type

Citation Type

Analytical Method for Computation of Phase-Detector Characteristic
TLDR
Approaches to a rigorous nonlinear analysis of analog PLL with multiplier phase detector (classical PLL) and linear filter and an effective analytical method for computation of multiplier/mixer phase-detector characteristics is proposed.
Phase-frequency Domain Model of Costas Loop with Mixer Discriminator
TLDR
The analytical method for phase detectors characteristics computation is proposed and new classes of phase detector characteristics are computed for the first time.
Simulation of phase-locked loops in phase-frequency domain
TLDR
Simulation of classical phase-locked loop in phase space for general types of signal waveforms is done based on new analytical method for computation of phase detector characteristics (PD), which enables to avoid a number of numerical problems in the simulation of PLL in signal.
Nonlinear analysis of classical phase-locked loops in signal's phase space
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…
Nonlinear Analysis of Costas Loop Circuit
TLDR
The analytical method for phase detector characteristics computation is proposed and new c lasses of phase detectors characteristics are computed for the first time.
Nonlinear Analysis of Phase-Locked Loop with Squarer
TLDR
For various waveforms of high-frequency signals new classes of phase detector characteristics are computed for the first time in a classical phase-locked loop with squarer based carrier recovery circuit.
Nonlinear mathematical models of Costas Loop for general waveform of input signal
TLDR
This article provides mathematical model of Costas Loop circuit for wide range of signal waveforms using nonlinear phase domain model of PLL with special phase detector characteristics to avoid a number of numerical problems in the simulation of costas Loop in signal domain.
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…
Hidden oscillations in SPICE simulation of two-phase Costas loop with non-linear VCO
Tutorial on dynamic analysis of the Costas loop
...
1
2
...

References

SHOWING 1-10 OF 30 REFERENCES
Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays
New method for the rigorous mathematical analysis of electronic synchronization systems is suggested. This method allows to calculate the characteristics of phase detectors and carry out a rigorous…
Nonlinear analysis of the Costas loop and phase-locked loop with squarer
This work is devoted to the nonlinear analysis of the Costas loop and phase-locked loop with squarer. By using the special asymptotical methods for analysis of high-frequency harmonic and impulse…
Stability and bifurcations of Phase-Locked Loops for Digital Signal Processors
TLDR
For continuous and discrete floating phase-locked loops, conditions of local and global stability are obtained and the results obtained are applied to the solution of the problem of eliminating the clock skew in digital signal processors.
Phase Locked Loops Design and Analysis
TLDR
The rigorous mathematical formulation of the Costas loop for the clock oscillators are obtained and the block diagram of oating PLL for the elimination of clock skew and that of frequency synthesizer is proposed.
Phase synchronization: Theory and applications
The state-of-the-art of the phase synchronization theory was reviewed. Consideration was given to its applications to the synchronous and induction electrical motors, phase locked loops, and…
Stability Analysis of Nonlinear Microwave Circuits
Steady-State Solutions on Nonlinear Circuits. Nonlinear Analysis Techniques. Global Stability Analysis of Nonlinear Circuits. Global Stability Analysis of Microwave Circuits. Bifurcation Routes to…
Phase-locked loops: a control centric tutorial
  • D. Abramovitch
  • Engineering
    Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)
  • 2002
Presents a tutorial on phase-locked loops from a control systems perspective. It starts with an introduction of the loop as a feedback control problem, with both the similarities and differences to…
Analysis and Design of Computer Architecture Circuits with Controllable Delay Line
TLDR
In the work it is mathematically strictly shown that RC-chain can be used as a controllable delay line for different problems of circuit engineering if the chain is sequentially connected with hysteretic relay.
Algorithm for constructing counterexamples to the Kalman problem
The method of harmonic linearization and describing function method, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of hidden periodic…
Theory of the Non-linear Analog Phase Locked Loop
TLDR
This chapter discusses First Order PLL Components, which consists of the Following: First Order Loop Main Synchronization Third Harmonic Synchronized, Second Order Type-I PLL, and Third order Type-II PLL.
...
1
2
3
...