The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops
arXiv:2112.01604 · doi:10.1142/S0218127422501383
Abstract
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.