A1 Journal article (refereed)
Nonlinear Analysis of Charge-Pump Phase-Locked Loop : The Hold-In and Pull-In Ranges (2021)

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

JYU authors or editors

Publication details

All authors or editors: Kuznetsov, Nikolay; Matveev, Alexey; Yuldashev, Marat; Yuldashev, Renat

Journal or series: IEEE Transactions on Circuits and Systems I : Regular Papers

ISSN: 1549-8328

eISSN: 1558-0806

Publication year: 2021

Volume: 68

Issue number: 10

Pages range: 4049-4061

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1109/tcsi.2021.3101529

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77387

Publication is parallel published: https://arxiv.org/abs/2005.00864

Abstract

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.

Keywords: electronic circuits; oscillations; mathematical models

Free keywords: charge-pump PLL; CP-PLL; phase-locked loops; VCO overload; Gardner conjecture; hidden oscillations

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 2