Skip to main content
SpringerLink
Log in

An experimental digital communication scheme based on chaotic time-delay system

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

We develop an experimental system for secure communication with nonlinear mixing of information signal and chaotic signal of a time-delay system. The proposed scheme is based on programmable microcontrollers with digital transmission line. The scheme allows one to transmit and receive speech and musical signals in real time without noticeable distortion. A high quality of extraction of hidden information signal is achieved due to the use of digital elements in the scheme, which ensures identity of the parameters and high stability to noise. We study a possibility of hidden message extraction from a chaotic carrier by a third party in the case of mismatch of the receiver and transmitter parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  2. Parlitz, U., Chua, L.O., Kocarev, L., Halle, K.S., Shang, A.: Transmission of digital signals by chaotic synchronization. Int. J. Bifurc. Chaos 2, 973–977 (1992)

    Article  MATH  Google Scholar 

  3. Cuomo, K.M., Oppenheim, A.V.: Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71, 65–68 (1993)

    Article  Google Scholar 

  4. Pecora, L.M., Carroll, T.L., Johnson, G.A., Mar, D.J., Heagy, J.F.: Fundamentals of synchronization in chaotic systems, concepts, and applications. Chaos 7, 520–543 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dmitriev, A.S., Panas, A.I.: Dynamical Chaos: New Information Carriers for Communication Systems. Fizmatlit, Moscow (2002)

    Google Scholar 

  6. Chen, J.Y., Wong, K.W., Cheng, L.M., Shuai, J.W.: A secure communication scheme based on the phase synchronization of chaotic systems. Chaos 13, 508–514 (2003)

    Article  Google Scholar 

  7. Tao, Y.: A survey of chaotic secure communication systems. Int. J. Comput. Cogn. 2, 81–130 (2004)

    Google Scholar 

  8. Koronovskii, A.A., Moskalenko, O.I., Hramov, A.E.: On the use of chaotic synchronization for secure communication. Phys. Usp. 52, 1213–1238 (2009)

    Article  Google Scholar 

  9. Wang, M.-J., Wang, X.-Y., Pei, B.-N.: A new digital communication scheme based on chaotic modulation. Nonlinear Dyn. 67, 1097–1104 (2012)

    Article  MathSciNet  Google Scholar 

  10. Argyris, A., Syvridis, D., Larger, L., Annovazzi-Lodi, V., Colet, P., Fischer, I., García-Ojalvo, J., Mirasso, C.R., Pesquera, L., Shore, K.A.: Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 437, 343–346 (2005)

    Article  Google Scholar 

  11. Short, K.M.: Signal extraction from chaotic communications. Int. J. Bifurc. Chaos 7, 1579–1597 (1997)

    Article  MATH  Google Scholar 

  12. Zhou, C.-S., Chen, T.-L.: Extracting information masked by chaos and contaminated with noise: some considerations on the security of communication approaches using chaos. Phys. Lett. A 234, 429–435 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  13. Yang, T., Yang, L.-B., Yang, C.-M.: Breaking chaotic secure communication using a spectrogram. Phys. Lett. A 247, 105–111 (1998)

    Article  Google Scholar 

  14. Álvarez, G., Montoya, F., Pastor, G., Romera, M.: Breaking a secure communication scheme based on the phase synchronization of chaotic systems. Chaos 14, 274–278 (2004)

    Article  Google Scholar 

  15. Pyragas, K.: Transmission of signals via synchronization of chaotic time-delay systems. Int. J. Bifurc. Chaos 8, 1839–1842 (1998)

    Article  Google Scholar 

  16. Udaltsov, V.S., Goedgebuer, J.-P., Larger, L., Rhodes, W.T.: Communicating with optical hyperchaos: information encryption and decryption in delayed nonlinear feedback systems. Phys. Rev. Lett. 86, 1892–1895 (2001)

    Article  Google Scholar 

  17. Ponomarenko, V.I., Prokhorov, M.D.: Extracting information masked by the chaotic signal of a time-delay system. Phys. Rev. E 66, 026215 (2002)

    Article  Google Scholar 

  18. Kye, W.-H., Choi, M., Kim, C.-M., Park, Y.-J.: Encryption with synchronized time-delayed systems. Phys. Rev. E 71, 045202 (2005)

    Article  MathSciNet  Google Scholar 

  19. Prokhorov, M.D., Ponomarenko, V.I.: Encryption and decryption of information in chaotic communication systems governed by delay-differential equations. Chaos Solitons Fractals 35, 871–877 (2008)

    Article  MATH  Google Scholar 

  20. Nguimdo, R.M., Colet, P., Larger, L., Pesquera, L.: Digital key for chaos communication performing time delay concealment. Phys. Rev. Lett. 107, 034103 (2011)

    Article  Google Scholar 

  21. Kye, W.-H.: Information transfer via implicit encoding with delay time modulation in a time-delay system. Phys. Lett. A 376, 2663–2667 (2012)

    Article  Google Scholar 

  22. Voss, H., Kurths, J.: Reconstruction of non-linear time delay models from data by the use of optimal transformations. Phys. Lett. A 234, 336–344 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  23. Tian, Y.-C., Gao, F.: Extraction of delay information from chaotic time series based on information entropy. Physica D 108, 113–118 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  24. Bünner, M.J., Ciofini, M., Giaquinta, A., Hegger, R., Kantz, H., Meucci, R., Politi, A.: Reconstruction of systems with delayed feedback: (I) Theory. Eur. Phys. J. D 10, 165–176 (2000)

    Article  Google Scholar 

  25. Prokhorov, M.D., Ponomarenko, V.I., Karavaev, A.S., Bezruchko, B.P.: Reconstruction of time-delayed feedback systems from time series. Physica D 203, 209–223 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  26. Rontani, D., Locquet, A., Sciamanna, M., Citrin, D.S., Ortin, S.: Time-delay identification in a chaotic semiconductor laser with optical feedback: a dynamical point of view. IEEE J. Quantum Electron. 45, 879–891 (2009)

    Article  Google Scholar 

  27. Zunino, L., Soriano, M.C., Fischer, I., Rosso, O.A., Mirasso, C.R.: Permutation-information-theory approach to unveil delay dynamics from time-series analysis. Phys. Rev. E 82, 046212 (2010)

    Article  MathSciNet  Google Scholar 

  28. Dai, C., Chen, W., Li, L., Zhu, Y., Yang, Y.: Seeker optimization algorithm for parameter estimation of time-delay chaotic systems. Phys. Rev. E 83, 036203 (2011)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work is supported by the Russian Foundation for Basic Research, Grant No. 13-02-00227 and by the grant of the president of Russian Federation, MK-4435.2012.8.

Author information

Authors and Affiliations

  1. Saratov Branch of the Institute of Radio Engineering and Electronics of Russian Academy of Sciences, 38, Zelyonaya Street, 410019, Saratov, Russia

    V. I. Ponomarenko, M. D. Prokhorov & A. S. Karavaev

  2. Department of Nano- and Biomedical Technologies, Saratov State University, 83, Astrakhanskay Street, 410012, Saratov, Russia

    V. I. Ponomarenko, A. S. Karavaev & D. D. Kulminskiy

Authors
  1. V. I. Ponomarenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. D. Prokhorov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. S. Karavaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. D. D. Kulminskiy
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. D. Prokhorov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ponomarenko, V.I., Prokhorov, M.D., Karavaev, A.S. et al. An experimental digital communication scheme based on chaotic time-delay system. Nonlinear Dyn 74, 1013–1020 (2013). https://doi.org/10.1007/s11071-013-1019-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-013-1019-0

Keywords

Search

Navigation