In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is obtained for the considered model. The solution is based on a study of cycle slipping bifurcation and improves well-known engineering estimates.
Cite
@article{arxiv.2112.01604,
title = {The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops},
author = {Nikolay V. Kuznetsov and Dmitry G. Arseniev and Mikhail V. Blagov and Mikhail Y. Lobachev and Zhouchao Wei and Marat V. Yuldashev and Renat V. Yuldashev},
journal= {arXiv preprint arXiv:2112.01604},
year = {2022}
}