Nonlinear behaviors of gear shifting digital phase locked loops

Chen, X., Ling, B.W.-K. and Sun, L.-M. (2012) Nonlinear behaviors of gear shifting digital phase locked loops. International Journal of Bifurcation and Chaos, 22 (8). p. 1250204. ISSN 0218-1274

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Applying gear shifting algorithms to the implementation of Phase Locked Loops (PLLs) can significantly improve their performances. However, the behaviors of gear shifting digital PLLs (GSDPLLs) have not been fully studied due to the existence of newly adaptive control parameters. These parameters play a very important role in the design of GSDPLLs. In this paper, various nonlinear behaviors of GSDPLLs including the steady state periodic behaviors, divergent behaviors and chaotic behaviors, are studied. In particular, the effects of the initial conditions of GSDPLLs on their dynamical behaviors are investigated. The obtained results are useful for the design of GSDPLLs. Numerical simulation results are presented for illustrations. © 2012 World Scientific Publishing Company.

Keywords:Adaptive Control, Chaotic behaviors, Digital phase locked loops, divergent behaviors, Dynamical behaviors, Gear shifting, Initial conditions, Nonlinear behavior, Periodic behavior, Steady state, Computer simulation, Phase locked loops
Subjects:H Engineering > H100 General Engineering
Divisions:College of Science > School of Engineering
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ID Code:10993
Deposited On:19 Dec 2013 14:16

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