Modeling of chaotic characteristics in integrated phase-locked loop

An integrated PLL based on NMOS technology is designed and its chaotic characteristics are carefully analyzed and modeled. We found that the differential equation of the PLL is a second-order non-Hamiltonian and nonautonomous system which is then analyzed using Melnikov's method. A set of condi...

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Bibliographic Details
Main Authors: Siu, W.K., Wong, H., Cheung, T.S., Man, K.F.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Chaos
Chaotic communication
Circuits
Design. Technologies. Operation analysis. Testing
Differential equations
Electronics
Exact sciences and technology
Filters
Frequency
Integrated circuits
MOS devices
Phase locked loops
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
SPICE
Voltage-controlled oscillators
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Description
Summary:An integrated PLL based on NMOS technology is designed and its chaotic characteristics are carefully analyzed and modeled. We found that the differential equation of the PLL is a second-order non-Hamiltonian and nonautonomous system which is then analyzed using Melnikov's method. A set of conditions for the determination the existence of chaos is worked out. These conditions agree very well with the SPICE simulation results.
DOI:10.1109/ICMEL.1997.632954