Title :
Chaos in phase-locked loops
Author :
Chou, Jung-Hua ; Chu, Y.H. ; Chang, Silvia
Author_Institution :
Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsin Chu, Taiwan
fDate :
4/25/1991 12:00:00 AM
Abstract :
The chaotic behaviour of phase-locked loops (PLL) in tracking a received signal whose frequency is varying linearly with time is studied. This system is described by a third-order nonlinear autonomous equation. The Lyapunov exponents and dimension of the system are calculated to confirm the chaotic phenomenon. Numerical results indicate that the parameter ranges where the chaos could occur are realistic in the typical designs.
Keywords :
chaos; network analysis; phase-locked loops; Lyapunov exponents; PLL; chaos; chaotic behaviour; chaotic phenomenon; frequency varying linearly with time; numerical analysis; parameter ranges; phase-locked loops; system dimensions; third-order nonlinear autonomous equation; varying frequency tracking;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19910466
