IMPROVING SECURITY IN CHAOTIC SPREAD SPECTRUM COMMUNICATION SYSTEMS WITH A NOVEL ‘BIT POWER PARAMETER SPECTRUM’ MEASURE

Branislav Jovic, Charles Unsworth

2007

Abstract

Due to the broadband nature and the high sensitivity to parameter and initial conditions in chaotic signals, chaotic spread spectrum (SS) communication systems have been regarded as highly secure. However, it is often easier to decrypt chaotic parameter modulation (CPM) based SS systems than was originally thought. In this paper, a single user CPM based chaotic communication system implementing Pecora-Carroll (PC) synchronization is described. Following this, the CPM based communication system, employing the chaotic carrier generated by the Burger’s map is proposed. To highlight the security aspect a new measure called ‘Bit Power Parameter Spectrum’ (BPPS) is introduced. The BPPS is then used to identify parameters that provide high secure and insecure regions for the chaotic map. Furthermore, it is demonstrated how a binary message can be decrypted easily if the parameters of the map exist in the insecure region of the BPPS and how security is optimised if the parameters exist in the secure region of the BPPS. The results are contrasted with those of the standard Lorenz CPM based system. The BPPS measure shows that the Lorenz CPM based system is easily decrypted for nearly all parameter values thus rendering the carrier insecure.

References

  1. Álvarez, G., Montoya, F., Pastor, G., Romera, M., 2004a. Breaking a secure communication scheme based on the phase synchronization of chaotic systems. Chaos, 14 (2), 274-278.
  2. Álvarez, G., Montoya, F., Romera, M., Pastor, G., 2004b. Breaking Two Secure Communication Systems Based on Chaotic Masking. IEEE Trans. Circuits Systems: Express Briefs, 51 (10), 505-506.
  3. Álvarez, G., Montoya, F., Romera, M., Pastor, G., 2004c. Breaking parameter modulated chaotic secure communication system. Chaos, Solit. Fract., 21 (4), 783-787.
  4. Cuomo, K.M., Oppenheim, A.V., 1993. Circuit Implementation of Synchronized Chaos with Applications to Communications. Phys. Rev. Lett., 71 (1), 65-68.
  5. Jovic, B., Berber, S., Unsworth, C.P., 2006a. A novel mathematical analysis for predicting master - slave synchronization for the simplest quadratic chaotic flow and Ueda chaotic system with application to communications, Physica D, 213 (1), 31-50.
  6. Jovic, B., Unsworth, C.P., Berber S., 2006b. De-noising 'Initial Condition Modulation' Wideband Chaotic Communication Systems with Linear & Wavelet Filters. In AUS Wireless'06, 1st IEEE Internat. Conf. on Wireless Broadband and Ultra Wideband Communications.
  7. Jovic, B., Unsworth, C.P., Sandhu, G.S., Berber, S.M., 2007a. A robust sequence synchronization unit for multi-user DS-CDMA chaos-based communication systems, Signal Processing, 87 (7), 1692-1708.
  8. Jovic, B., Unsworth, C.P., 2007b. Synchronization of Chaotic Communication Systems. In C.W. Wang (Ed.), Nonlinear Phenomena Research Perspectives, Nova Publishers, New York, In Press.
  9. Millerioux, G., Mira, C., 1998. Communicating via Chaos Synchronization Generated by Noninvertible Maps. In ISCAS'98,Internat. Symp. Circuits and Systems.
  10. Millerioux, G., Mira, C., 2001. Finite-Time Global Chaos Synchronization for Piecewise Linear Maps, IEEE Trans. Circuits Systems, 48 (1), 111-116.
  11. Nan, M., Wong, C-n., Tsang, K-f., Shi, X., 2000. Secure digital communication based on linearly synchronized chaotic maps, Phys. Lett. A, 268 (1-2), 61-68.
  12. Oppenheim, A.V., Wornell, G.W., Isabelle, S.H., Cuomo, K.M., 1992. Signal processing in the context of chaotic signals. In Proc. IEEE ICASSP'92.
  13. Pecora, L.M., Carroll, T.L., 1990. Synchronization in chaotic systems, Phys. Rev. Lett., 64 (8), 821-824.
  14. Pérez, G., Cerdeira, H.A., 1995. Extracting Messages Masked by Chaos, Phys. Rev. Lett, 74 (11), 1970-1973.
  15. Short, K.M., 1994. Steps Toward Unmasking Secure Communications, Internat. J. Bifur. Chaos, 4 (4), 959- 977.
  16. Whitehead, R.R., MacDonald, N., 1984. A chaotic mapping that displays its own homoclinic structure, Physica D, 13 (3), 401-407.
  17. Wu, C.W., Chua, L.O., 1994. A unified framework for synchronization and control of dynamical systems, Internat. J. Bifur. Chaos, 4 (4), 979-998.
  18. Yan, Z., 2005. Q-S synchronization in 3D Henon-like map and generalized Henon map via a scalar controller, Phys. Lett. A, 342 (4), 309-317.
  19. Yang, T., 1995. Recovery of Digital Signals from Chaotic Switching, Internat. J. Circuit Theory Applic., 23 (6), 611-615.
Download


Paper Citation


in Harvard Style

Jovic B. and Unsworth C. (2007). IMPROVING SECURITY IN CHAOTIC SPREAD SPECTRUM COMMUNICATION SYSTEMS WITH A NOVEL ‘BIT POWER PARAMETER SPECTRUM’ MEASURE . In Proceedings of the Second International Conference on Security and Cryptography - Volume 1: SECRYPT, (ICETE 2007) ISBN 978-989-8111-12-8, pages 273-280. DOI: 10.5220/0002125302730280


in Bibtex Style

@conference{secrypt07,
author={Branislav Jovic and Charles Unsworth},
title={IMPROVING SECURITY IN CHAOTIC SPREAD SPECTRUM COMMUNICATION SYSTEMS WITH A NOVEL ‘BIT POWER PARAMETER SPECTRUM’ MEASURE},
booktitle={Proceedings of the Second International Conference on Security and Cryptography - Volume 1: SECRYPT, (ICETE 2007)},
year={2007},
pages={273-280},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002125302730280},
isbn={978-989-8111-12-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Security and Cryptography - Volume 1: SECRYPT, (ICETE 2007)
TI - IMPROVING SECURITY IN CHAOTIC SPREAD SPECTRUM COMMUNICATION SYSTEMS WITH A NOVEL ‘BIT POWER PARAMETER SPECTRUM’ MEASURE
SN - 978-989-8111-12-8
AU - Jovic B.
AU - Unsworth C.
PY - 2007
SP - 273
EP - 280
DO - 10.5220/0002125302730280