# Analytical Method for Computation of Phase-Detector Characteristic

@article{Leonov2012AnalyticalMF, title={Analytical Method for Computation of Phase-Detector Characteristic}, author={Gennady A. Leonov and Nikolay V. Kuznetsov and Marat V. Yuldashev and Renat V. Yuldashev}, journal={IEEE Transactions on Circuits and Systems II: Express Briefs}, year={2012}, volume={59}, pages={633-637} }

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. Approaches to a rigorous nonlinear analysis of analog PLL with multiplier phase detector (classical PLL) and linear filter are discussed. An effective analytical method for computation of multiplier/mixer phase-detector characteristics is proposed. For various waveforms…

## 80 Citations

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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.

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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.

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Abstract In the present work the lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase-detector characteristics are studied. Considered circuits have…

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- Computer Science, Mathematics2015 IEEE International Symposium on Circuits and Systems (ISCAS)
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It is shown that the use of simplified mathematical models and the application of simulation may lead to wrong conclusions concerning the operability of PLL-based circuits.

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Two approachers which allow to solve main problems of simulation and mathematical modeling of high-frequency signals for analog Costas loop and for analog phase-locked loop (PLL) are considered.

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- Computer Science, Mathematics2015 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)
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In this work the limitations of numerical approach is discussed and it is shown that, e.g. hidden oscillations may not be found by simulation.

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In the present work PLL-based circuits with sinusoidal phase detector characteristic and active proportionally-integrating (PI) filter are considered. The notion of lock-in range -- an important…

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- 2015

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 of…

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