Open-loop frequency response for a chaotic masking system
Huang Xian-Gao(黄显高)a)†, Yu Peib)‡, and Huang Wei(黄伟)c)
a College of Engineering, Shantou University, Shantou 515063, China; b Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada; c School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract In this paper, a new numerical simulation approach is proposed for the study of open-loop frequency response of a chaotic masking system. Using Chua's circuit and the Lorenz system as illustrative examples, we have shown that one can employ chaos synchronization to separate the feedback network from a chaotic masking system, and then use numerical simulation to obtain the open-loop synchronization response, the phase response, and the amplitude response of a chaotic masking system. Based on the analysis of the frequency response, we have also proved that changing the amplitude of the exciting (input) signal within normal working domain does not influence the frequency response of the chaotic masking system. The new numerical simulation method developed in this paper can be extended to consider the open-loop frequency response of other systems described by differential or difference equations.
Received: 08 November 2005
Revised: 27 April 2006
Accepted manuscript online:
Fund: Project supported by the National Defense Key Foundation of
China (Grant No. 6140444) and the Natural Science and Engineering Research
Council of Canada (Grant No R2686A02).
Cite this article:
Huang Xian-Gao(黄显高), Yu Pei, and Huang Wei(黄伟) Open-loop frequency response for a chaotic masking system 2006 Chinese Physics 15 2894
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