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Chaos Synchronization and Voice Encryption of Discretized Hyperchaotic Chen Based on Euler Algorithm

  • Xinyue Tang
  • Jiaqi ZhenEmail author
  • Qun Ding
  • Bing Zhao
  • Jie Yang
Conference paper
  • 16 Downloads
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 571)

Abstract

In this paper, in order to facilitate the hardware implementation, the hyperchaotic Chen system is discretized based on the Euler algorithm, and the Lyapunov exponent is used to verify that it has the same hyperchaotic characteristics with continuous one. A nonlinear controller is constructed for synchronization of two discrete hyperchaotic Chen systems with the same structure, then the synchronization of it is proved by Lyapunov stability theory. Finally, the secret communication scheme based on nonlinear feedback synchronization is used to transmit the voice signal, which verifies the feasibility and efficiency of it again.

Keywords

Euler algorithm Discrete hyperchaotic Chen system Synchronization Voice encryption 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 61501176, Natural Science Foundation of Heilongjiang Province F2018025, University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province UNPYSCT-2016017, and the postdoctoral scientific research developmental fund of Heilongjiang Province in 2017 LBH-Q17149.

References

  1. 1.
    Park JH (2005) Adaptive synchronization of hyperchaotic Chen system with uncertain parameters. Chaos Solitons Fract 26:959–964MathSciNetCrossRefGoogle Scholar
  2. 2.
    Mossa Al-sawalha M (2013) Hybrid adaptive synchronization of hyperchaotic systems with fully unknown parameters. Appl Math 4(12):1621–1628Google Scholar
  3. 3.
    Gao T, Qiaolun G, Chen Z (2009) Analysis of the hyper-chaos generated from Chen’s system. Chaos Solitons Fract 39:1849–1855CrossRefGoogle Scholar
  4. 4.
    Simin Y Chaotic systems and chaotic circuits: principle, design and its application in communications. Xi’an: Xidian University, pp 609Google Scholar
  5. 5.
    Ekhande R, Deshmukh S (2014) Chaotic signal for signal masking in digital communications. IOSR J Eng (IOSRJEN) 04(02):29–33. ISSN (e): 2250-3021, ISSN (p): 2278-8719V5Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Xinyue Tang
    • 1
  • Jiaqi Zhen
    • 1
    Email author
  • Qun Ding
    • 1
  • Bing Zhao
    • 1
  • Jie Yang
    • 1
  1. 1.College of Electronic EngineeringHeilongjiang UniversityHarbinChina

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