Melnikov’s method applied to accidental phase modulation phenomenon
Escola Politécnica da Universidade de São Paulo, Av. Prof. Luciano Gualberto, tv. 3-158, São Paulo, SP, Brazil
Accepted: 7 July 2021
Published online: 24 July 2021
The performance of clock recovery phase-locked loop (PLL) can be severely degraded by unwanted spurious phase modulation, due to noise and nonlinearities associated with the transmission medium. Consequently, choosing appropriate circuit parameters to avoid or at least reduce these undesirable effects plays a crucial role in achieving a successful PLL circuit. This paper demonstrates that Melnikov’s method, originally proposed to identify chaos in dynamic systems, can be successfully used to establish the appropriate circuit parameters by determining the regions that ensure the correct operation under conditions of noise and nonlinearities, represented by periodic perturbations. This study considers the use of one of the most commonly adopted configurations for clock recovery, the second-order PLL with lag-lead filter, and provides a valuable tool for circuit dimensioning and design of clock distribution networks.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021