Title
The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops
Abstract
In the present work, a second-order type-2 phase-locked loop (PLL) with a piecewise-linear phase detector characteristic is analyzed. 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, which improves the well-known engineering estimates.
Year
DOI
Venue
2022
10.1142/S0218127422501383
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Phase-locked loop (PLL), type-2 PLL, Gardner problem, lock-in range, cycle slipping, Lyapunov function, nonlinear analysis, global stability
Journal
32
Issue
ISSN
Citations 
09
0218-1274
0
PageRank 
References 
Authors
0.34
0
7