Open AccessThe chaotic self-FM system and its FM code coupled synchronization
Author(s) -
Huiqing Wen,
Junping Li,
Gong Zhang,
Wenbo Liu,
Zhao Guang-Hao
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.010504
Subject(s) - voltage controlled oscillator , lyapunov exponent , chaotic , bifurcation diagram , control theory (sociology) , frequency modulation , synchronization (alternating current) , physics , bandwidth (computing) , computer science , bifurcation , voltage , telecommunications , nonlinear system , quantum mechanics , channel (broadcasting) , artificial intelligence , control (management)
We proposed a new chaotic system using the closed loop self-feedback frequency modulation (FM) technique where the current sample of the output signal of voltage-controlled oscillator (VCO) is transformed and used as the next input of VCO. The dynamical behavior of the system is investigated by Bifurcation diagram and Lyapunov exponents. The performance of the system is analyzed in terms of peak to average power ratio (PAPR), frequency spectrum and the correlation function of the output signal. The results show that the developed system has complicated dynamical behaviors, including bifurcation, multi-stability and chaos, and the generated chaotic signals have low PAPR and wide bandwidth. We also discussed the synchronization of the system by FM code. In circuit experiments, VCO is implemented by digital frequency synthesis. The experimental results are consistent with our theoretical analysis.