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. 
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16 Citations
Background Citations
6
Methods Citations
3

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…
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Abstract Simulation is widely used for analysis of Costas loop based circuits. However it may be a non-trivial task, because incorrect choice of integration parameters may lead to qualitatively wrong…
Tutorial on dynamic analysis of the Costas loop
TLDR
The lock-in range of the Costas loop for the case where a lead-lag filter is used for the loop filter is analyzed and equations for the above mentioned key parameters are derived.
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References

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