DocumentCode
1478661
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
Volume
27
Issue
9
fYear
1991
fDate
4/25/1991 12:00:00 AM
Firstpage
750
Lastpage
751
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;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el:19910466
Filename
74899
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