Nonlinear Analysis of Charge-Pump Phase-Locked Loop : The Hold-In and Pull-In Ranges
Kuznetsov, N., Matveev, A., Yuldashev, M., & Yuldashev, R. (2021). Nonlinear Analysis of Charge-Pump Phase-Locked Loop : The Hold-In and Pull-In Ranges. IEEE Transactions on Circuits and Systems I : Regular Papers, 68(10), 4049-4061. https://doi.org/10.1109/tcsi.2021.3101529
© 2021 IEEE
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 of the hold-in and pull-in ranges related to the local and global stability. Stability analysis of the steady state for the charge-pump phase locked loop is non-trivial: straight-forward linearization of available CP-PLL models may lead to incorrect conclusions, because the system is not smooth near the steady state and may experience overload. In this work necessary details for local stability analysis are presented and the hold-in range is computed. An upper estimate of the pull-in range is obtained via the analysis of limit cycles. The study provided an answer to Gardner's conjecture on the similarity of transient responses of CP-PLL and equivalent classical PLL and to conjectures on the infinite pull-in range of CP-PLL with proportionally-integrating filter.
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Publication in research information system
MetadataShow full item record
Showing items with similar title or keywords.
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 ...
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, 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 ...
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 ...
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 ...