Stability of charge-pump phase-locked loops : the hold-in and pull-in ranges
Kuznetsov, N., Matveev, A., Yuldashev, M., Yuldashev, R., & Bianchi, G. (2020). Stability of charge-pump phase-locked loops : the hold-in and pull-in ranges. IFAC-PapersOnLine, 53(2), 2022-2026. https://doi.org/10.1016/j.ifacol.2020.12.2511
© Authors, 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 Phase-Locked Loop (CP-PLL) electronic circuit, which is used for frequency synthesis and clock generation in computer architectures, is studied. Analysis of CP-PLL is not trivial: full mathematical model, rigorous definitions, and analysis still remain open issues in many respects. This article is devoted to development of a mathematical model, taking into account engineering aspects of the circuit, interpretation of core engineering problems, definition in relation to mathematical model, and rigorous analysis.
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Additional information about fundingThe work is supported by the Russian Science Foundation(project 19-41-02002).
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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 ...
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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. ...
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 ...
Kuznetsov N.V.; Lobachev M.Y.; Yuldashev M.V.; Yuldashev R.V. (Russian Academy of Sciences, 2019)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 ...