English

Charge pump phase-locked loop with phase-frequency detector: closed form mathematical model

Signal Processing 2019-03-12 v4

Abstract

Charge pump phase-locked loop with phase-frequency detector (CP-PLL) is an electrical circuit, widely used in digital systems for frequency synthesis and synchronization of the clock signals. In this paper a non-linear second-order model of CP-PLL is rigorously derived. The obtained model obviates the shortcomings of previously known second-order models of CP-PLL. Pull-in time is estimated for the obtained second-order CP-PLL.

Cite

@article{arxiv.1901.01468,
  title  = {Charge pump phase-locked loop with phase-frequency detector: closed form mathematical model},
  author = {Nikolay Kuznetsov and Marat Yuldashev and Renat Yuldashev and Mikhail Blagov and Elena Kudryashova and Olga Kuznetsova and Timur Mokaev},
  journal= {arXiv preprint arXiv:1901.01468},
  year   = {2019}
}
R2 v1 2026-06-23T07:03:56.504Z