中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2894-2901.doi: 10.1088/1009-1963/15/12/022

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Open-loop frequency response for a chaotic masking system

黄显高1, Yu Pei2, 黄 伟3   

  1. (1)College of Engineering, Shantou University, Shantou 515063, China; (2)Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada; (3)School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2005-11-08 修回日期:2006-04-27 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    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).

Open-loop frequency response for a chaotic masking system

Huang Xian-Gao(黄显高)a)†, Yu Peib)‡, and Huang Wei(黄伟)c)   

  1. 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
  • Received:2005-11-08 Revised:2006-04-27 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    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).

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摘要： 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.

关键词: open-loop, frequency response, chaotic masking system

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.

Key words: open-loop, frequency response, chaotic masking system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.Ca (Noise) 05.45.Pq (Numerical simulations of chaotic systems)