Skip to main content
SpringerLink
Log in

Application of Modified ICA to Secure Communications in Chaotic Systems

  • Conference paper
Computational Science and Its Applications – ICCSA 2007 (ICCSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4707))

Included in the following conference series:

Abstract

Along with the increasingly quick development of modern communication system technologies, secure communication has become increasingly important. We propose a new method for secure communication systems. Independent component analysis (ICA) is employed to retrieve the message signal encrypted by a mixture of Gaussian white noise and chaotic noise. Unlike the traditional chaotic synchronization method, this method does not require knowing the basic Gaussian white noise and chaotic noise variables. However, the signals separated by traditional ICA shows opposite phase and unequal amplitude. Our study proposed a modified ICA, which can calculate accurately the phase and amplitude. The results showed that modified ICA could effectively extract the original message signal.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lorenz, E.N.: Deterministic Nonperiodic Flow. J. Atmos. Sci. 20, 130–141 (1963)

    Article  Google Scholar 

  2. Carroll, T.L.: Communicating with use of Filtered Synchronized Chaotic Signals. IEEE Trans. Circuits Syst. 42, 105–110 (1995)

    Article  Google Scholar 

  3. Rulkov, N.F., Sushchik, M.M., Tsimring, L.S., Abarbanel, H.D.I.: Generalized Synchronization of Chaos in Directionally Coupled Chaotic Systems. Phys. Rev. E 51, 980–994 (1995)

    Article  Google Scholar 

  4. Lakshmanan, M., Murali, K.: Chaos in Nonlinear Oscillators: Controlling and Synchronization. World Scientific, Singapore (1996)

    MATH  Google Scholar 

  5. Kocarev, L.j., Parlitz, U.: Generalized Synchronization, Predictability, and Equivalence of Unidirectionally Coupled Dynamical Systems. Phys. Rev. Lett. 76, 1816–1819 (1996)

    Article  Google Scholar 

  6. Murali, K., Lakshmanan, M.: Secure Communication using a Compound Signal from Generalized Synchronizable Chaotic Systems. Phys. Lett. A 241, 303 (1998)

    Article  MATH  Google Scholar 

  7. Murali, K.: Digital Signal Transmission with Cascaded Heterogeneous Chaotic System. Phys. Rev. E 63, 16217 (2000)

    Article  Google Scholar 

  8. Parlitz, U., Chua, L.O., Kocarev, L.j., Halle, K.S., Shang, A.: Transmission of Digital Signals by Chaotic Synchronization. Int. J. Bifurcation Chaos 2(4), 973–977 (1992)

    Article  MATH  Google Scholar 

  9. 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 

  10. Dedieu, H., Kennedy, M.P., Hasler, M.: Chaos Shift Keying: Modulation and Demodulation of a Chaotic Carrier using Self-synchronizing Chua’s Circuits. IEEE Trans. Circuits Syst. 40, 634–642 (1993)

    Article  Google Scholar 

  11. Parlitz, U., Ergezinger, S.: Robust Communication Based on Chaotic Spreading Sequences. Phys. Lett. A 188(2), 146–150 (1997)

    Article  Google Scholar 

  12. Kocarev, L.j., Halle, K., Eckert, K., Chua, L.O., Parlitz, U.: Experimental Demonstration of Secure Communications via Chaotic Synchronization. Int. J. Bifurcation Chaos Appl. Sci. Eng. 2(2), 709–713 (1992)

    MATH  Google Scholar 

  13. Murali, K., Lakshmanan, M.: Transmission of Signals by Synchronization in a Chaotic Van der Pol–Duffing Oscillator. Phys. Rev. E 48, R1624-R1626 (1993)

    Article  Google Scholar 

  14. Wu, C.W., Chua, L.O.: A Simple way to Synchronize Chaotic Systems with Applications to Secure Communication Systems. Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 1619–1627 (1993)

    Article  MATH  Google Scholar 

  15. Ogorzalek, M.J.: Taming Chaos. I. Synchronization. IEEE Trans. Circuits Syst. 40, 639–699 (1993)

    Google Scholar 

  16. Halle, K.S., Wul, C.W., Itoh, M., Chua, L.O.: Spread Spectrum Communication Through Modulation of Chaos. Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 469–477 (1993)

    Article  MATH  Google Scholar 

  17. Dmitriev, A.S., Panas, A.I., Starkov, S.O.: Experiments on Speech and Music Signals Transmission using Chaos. Int. J. Bifurcation Chaos Appl. Sci. Eng. 5(4), 1249–1254 (1995)

    Article  MATH  Google Scholar 

  18. Dmitriev, A.S., Panas, A.I., Starkov, S.O., Kuzmin, L.V.: Experiments on RF Band Communications using Chaos. Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 2511–2527 (1997)

    Article  MATH  Google Scholar 

  19. Murali, K., Lakshmanan, M.: Efficient Signal Transmission by Synchronization Through Compound Chaotic Signal. Phys. Rev. E 56, 251–255 (1997)

    Article  Google Scholar 

  20. Murali, K., Lakshmanan, M.: Secure Communication using a Compound Signal from Generalized Synchronizable Chaotic Systems. Phys. Lett. A 241, 303–310 (1998)

    Article  MATH  Google Scholar 

  21. Oppenheim, A.V., Wornell, G.W., Isabelle, S.H., Cuomo, K.M.: Signal Processing in the Context of Chaotic Signals. IEEE Trans., 117–120 (1992)

    Google Scholar 

  22. Kocarev, L.J., et al.: Synchronization in Chaotic Systems. Int. J. of Bifur Chaos 2, 709–713 (1992)

    Article  MATH  Google Scholar 

  23. SJ, L., Alvarez, G., Chen, G.R.: Breaking a Chaos-Based Secure Communication Scheme Designed by an Improved Modulation Method. Chaos Solitons & Fractals 25(1), 109–120 (2005)

    Article  Google Scholar 

  24. Zhou, J., Huang, H.B., Qi, G.X., et al.: Communication with Spatial Periodic Chaos synchronization. Physics Lett. A 335(2-3), 191–196 (2005)

    Article  MATH  Google Scholar 

  25. Kim, C.M., Kye, W.H., Rim, S., et al.: Communication key using delay times in time-Delayed Chaos Synchronization. Physics Lett. A 333(3-4), 235–240 (2004)

    Article  MATH  Google Scholar 

  26. Makeig, S., Westerfield, M., Jung, T-P., Enghoff, S., Townsend, J., Courchesne, E., Sejnowski, T.J.: Dynamic Brain Sources of Visual Evoked Responses. Science 295, 690–694 (2002)

    Article  Google Scholar 

  27. Stögbauer, H., Kraskov, A., Astakhov, S.A., Grassberger, P.: Least Dependent Component Analysis Based on Mutual Information. Phys. Rev. E 70, 66123 (2004)

    Article  Google Scholar 

  28. Lauro, E.D., Martino, S.D., Falanga, M., Ciaramella, A., Tagliaferri, R.: Complexity of Time Series Associated to Dynamical Systems Inferred from Independent Component Analysis. Physical Review E 72, 46712 (2005)

    Article  Google Scholar 

  29. Khor, L.C., Woo, W.L., Dlay, S.S.: Nonlinear Blind Signal Separation with Intelligent Controlled Learning. IEE Proc.-Vis. Image Signal Process. 152(3), 297–306 (2005)

    Article  Google Scholar 

  30. Fiori, S.: Fixed-Point Neural Independent Component Analysis Algorithms on the Orthogonal Group. Future Generation Computer Systems 22, 430–440 (2006)

    Article  Google Scholar 

  31. de la Rosa a, J.J.G., Puntonet b, C.G., Lloret, I.: An Application of the Independent Component Analysis to Monitor Acoustic Emission Signals Generated by Termite Activity in Wood. Measurement 37, 63–76 (2005)

    Article  Google Scholar 

  32. Bell, A.J., Sejnowski, T.J.: An Information Maximisation Approach to Blind Separation and Blind Deconvolution. Neural Comput. 7(6), 1129–1159 (1995)

    Article  Google Scholar 

  33. Amari, S., Cichocki, A., Yang, H.H.: A New Learning Algorithm for Blind Signal Separation. Advances in Neural Information Processing Systems 8, 757–763 (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Department of Mechanical Engineering, the National Central University, Chung-Li 320, Email: t331166@ncu.edu.tw, Taiwan

    Shih-Lin Lin & Pi-Cheng Tung

Authors
  1. Shih-Lin Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pi-Cheng Tung
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Osvaldo Gervasi Marina L. Gavrilova

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lin, SL., Tung, PC. (2007). Application of Modified ICA to Secure Communications in Chaotic Systems. In: Gervasi, O., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2007. ICCSA 2007. Lecture Notes in Computer Science, vol 4707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74484-9_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74484-9_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74482-5

  • Online ISBN: 978-3-540-74484-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation