# Comments on van paemel's mathematical model of charge-pump phase-locked loop

Результат исследований: Научные публикации в периодических изданияхстатья

### Выдержка

The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article "Analysis of a charge-pump PLL: A new model" published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.

Язык оригинала английский 109-120 12 Differencialnie Uravnenia i Protsesy Upravlenia 2019 1 Опубликовано - 1 янв 2019

### Отпечаток

Phase-locked Loop
Phase locked loops
Pump
Charge
Pumps
Mathematical Model
Mathematical models
Nonlinear control systems
Defects
Nonlinear Control Systems
Nonlinear analysis
Nonlinear Analysis
Transactions
Communication

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• Теория оптимизации
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• Программный продукт

### Цитировать

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title = "Comments on van paemel's mathematical model of charge-pump phase-locked loop",
abstract = "The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article {"}Analysis of a charge-pump PLL: A new model{"} published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.",
keywords = "Charge-pump phase-locked loop, Control of oscillators, Nonlinear dynamical model, Synchronization",
author = "Kuznetsov, {N. V.} and Yuldashev, {M. V.} and Yuldashev, {R. V.} and Blagov, {M. V.} and Kudryashova, {E. V.} and Kuznetsova, {O. A.} and Mokaev, {T. N.}",
year = "2019",
month = "1",
day = "1",
language = "English",
volume = "2019",
pages = "109--120",
journal = "ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1817-2172",
publisher = "Электронный журнал {"}Дифференциальные уравнения и процессы управления{"}",
number = "1",

}

В: Differencialnie Uravnenia i Protsesy Upravlenia, Том 2019, № 1, 01.01.2019, стр. 109-120.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Comments on van paemel's mathematical model of charge-pump phase-locked loop

AU - Kuznetsov, N. V.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

AU - Blagov, M. V.

AU - Kudryashova, E. V.

AU - Kuznetsova, O. A.

AU - Mokaev, T. N.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article "Analysis of a charge-pump PLL: A new model" published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.

AB - The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article "Analysis of a charge-pump PLL: A new model" published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.

KW - Charge-pump phase-locked loop

KW - Control of oscillators

KW - Nonlinear dynamical model

KW - Synchronization

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M3 - Article

AN - SCOPUS:85063908120

VL - 2019

SP - 109

EP - 120

JO - ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1817-2172

IS - 1

ER -