0000000000158448

AUTHOR

Marat V. Yuldashev

showing 4 related works from this author

Hidden oscillations in SPICE simulation of two-phase Costas loop with non-linear VCO

2016

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 conclusions. In this work the importance of choosing appropriate parameters and simulation model is discussed. It is shown that hidden oscillations may not be found by simulation in SPICE, however it can be predicted by analytical methods. peerReviewed

Costas loophidden oscillationsSPICE simulationnon-linear VCO
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Computation of lock-in range for classic PLL with lead-lag filter and impulse signals

2016

For a classic PLL with square waveform signals and lead-lag filter for all possible parameters lock-in range is computed and corresponding diagrams are given. peerReviewed

lock-in rangephase-locked loopanalog PLLnonlinear analysisdefinitionpull-in rangecycle slippinghold-in rangelead-lag filter
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The Egan problem on the pull-in range of type 2 PLLs

2021

In 1981, famous engineer William F. Egan conjectured that a higher-order type 2 PLL with an infinite hold-in range also has an infinite pull-in range, and supported his conjecture with some third-order PLL implementations. Although it is known that for the second-order type 2 PLLs the hold-in range and the pull-in range are both infinite, the present paper shows that the Egan conjecture may be not valid in general. We provide an implementation of the third-order type 2 PLL, which has an infinite hold-in range and experiences stable oscillations. This implementation and the Egan conjecture naturally pose a problem, which we will call the Egan problem: to determine a class of type 2 PLLs for …

PLLtype IIelektroniset piiritEgan problem on the pull-in rangehold-in rangeEgan conjectureglobal stabilityharmonic balance methodsäätöteoriavärähtelyttype 2describing functionphase-locked loopnonlinear analysisGardner problem on the lock-in rangedifferentiaaliyhtälötLyapunov functions
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Computation of the lock-in ranges of phase-locked loops with PI filter

2016

In the present work the lock-in range of PLL-based circuits with proportionallyintegrating filter and sinusoidal phase-detector characteristics are studied. Considered circuits have sinusoidal phase detector characteristics. Analytical approach based on the methods of phase plane analysis is applied to estimate the lock-in ranges of the circuits under consideration. Obtained analytical results are compared with simulation results. peerReviewed

pull-out frequencyCostas loopPLLhidden oscillationslock-in rangephase-locked loopnonlinear analysis
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