Chaos in phase-locked loops

25 April 1991

journal article
Published by Institution of Engineering and Technology (IET) in Electronics Letters

Vol. 27 (9) , 750-751
https://doi.org/10.1049/el:19910466

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

PHASE-LOCKED LOOPS
THIRD-ORDER NONLINEAR AUTONOMOUS EQUATION
PARAMETER RANGES
CHAOTIC PHENOMENON
NUMERICAL ANALYSIS
LYAPUNOV EXPONENTS
PLL
SYSTEM DIMENSIONS
CHAOTIC BEHAVIOUR
CHAOS
FREQUENCY VARYING LINEARLY WITH TIME
VARYING FREQUENCY TRACKING

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