О проблеме Гарднера для систем управления фазовой автоподстройкой частоты

Kuznetsov, N.V.; Lobachev, M.Y.; Yuldashev, M.V.; Yuldashev, R.V.

doi:10.31857/S0869-56524896541-544

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Kuznetsov, N.V., Lobachev, M.Y., Yuldashev, M.V., & Yuldashev, R.V. (2019). О проблеме Гарднера для систем управления фазовой автоподстройкой частоты. Doklady Akademii Nauk, 489(6), 541-544. https://doi.org/10.31857/S0869-56524896541-544

Julkaistu sarjassa

Doklady Akademii Nauk

Tekijät

Kuznetsov, N.V. |

Lobachev, M.Y. |

Yuldashev, M.V. |

Yuldashev, R.V.

Päivämäärä

2019

Oppiaine

Tietotekniikka Mathematical Information Technology

Tekijänoikeudet

This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system.

Julkaisija

Russian Academy of Sciences

ISSN Hae Julkaisufoorumista

0869-5652

Asiasanat

Gardner problem on the lock-in range phase-locked loops nonlinear analysis frequency stability criteria säätöteoria elektroniset piirit

Huom.

Published also in English: Kuznetsov, N.V., Lobachev, M.Y., Yuldashev, M.V. et al. On the Gardner Problem for Phase-Locked Loops. Dokl. Math. 100, 568–570 (2019). https://doi.org/10.1134/S1064562419060218

Lisätietoja rahoituksesta

Work done at financial support of the Russian Science Foundation (project 19-41-02002).

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The Egan problem on the pull-in range of type 2 PLLs

Kuznetsov, Nikolay V.; Lobachev, Mikhail Y.; Yuldashev, Marat V.; Yuldashev, Renat V. (Institute of Electrical and Electronics Engineers (IEEE), 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. ...
Stability of charge-pump phase-locked loops : the hold-in and pull-in ranges

Kuznetsov, N.V.; Matveev, A.S.; Yuldashev, M.V.; Yuldashev, R.V.; Bianchi, G. (Elsevier, 2020)

The problem of design and analysis of synchronization control circuits is a challenging task for many applications: satellite navigation, digital communication, wireless networks, and others. In this article the Charge-Pump ...
Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs

Kuznetsov, N.V.; Lobachev, M.Y.; Yuldashev, M.V.; Yuldashev, R.V.; Kolumbán, G. (Elsevier, 2020)

The most important design parameters of each phase-locked loop (PLL) are the local and global stability properties, and the pull-in range. To extend the pull-in range, engineers often use type 2 PLLs. However, the engineering ...
Nonlinear Analysis of Charge-Pump Phase-Locked Loop : The Hold-In and Pull-In Ranges

Kuznetsov, Nikolay; Matveev, Alexey; Yuldashev, Marat; Yuldashev, Renat (Institute of Electrical and Electronics Engineers (IEEE), 2021)

In this paper a fairly complete mathematical model of CP-PLL, which reliable enough to serve as a tool for credible analysis of dynamical properties of these circuits, is studied. We refine relevant mathematical definitions ...
Hold-in, Pull-in and Lock-in Ranges for Phase-locked Loop with Tangential Characteristic of the Phase Detector

Blagov, M. V.; Kuznetsova, O. A.; Kudryashov, E. V.; Kuznetsov, Nikolay; Mokaev, T. N.; Mokaev, R. N.; Yuldashev, M. V.; Yuldashev, R. V. (Elsevier, 2019)

In the present paper the phase-locked loop (PLL), an electric circuit widely used in telecommunications and computer architectures is considered. A new modification of the PLL with tangential phase detector characteristic ...