Anti-synchronization chaos shift keying method: Error derivative detection improvement
Analysis and Control of Chaotic Systems, Volume # 2 | Part# 1
Celikovsky, Sergej; Lynnyk, Volodymyr
Digital Object Identifier (DOI)
nonlinear system,chaos shift keying,generalized Lorenz system,synchronization,anti-synchronization,secure communication
This paper studies a new modification of the anti-synchronization chaos shift keying scheme for the secure encryption and decryption of data. A new concept of the detection of the correct/incorect binary value in the receiver is used. The method proposed here requires very reasonable amount of data to encrypt and time to decrypt a single bit. Basically, to encrypt a single bit, only one iteration is needed. Moreover, the security of this method is systematically investigated showing its good resistance to typical decryption attacks. Theoretical results are supported by the numerical simulations.
 Alvarez-Ramirez J., Puebla H., and Cervantes I. Stability of observer-based chaotic communications for a class of Lur'e systems. Int. J. of Bifur. Chaos, vol 7, 1605-1618, 2002.  Alvarez G., Li S. Cryptographic requirements for chaotic secure communications. arXiv: nlin. CD/0311039, 2003.  Cuomo K., Oppenheim A., and Strogatz S. Synchronization of Lorenz-Based Chaotic Circuits with Applications to Communications. IEEE Trans. Circ. Syst.-II, 40, 626- 633, 1993.  Čelikovsky S., and Chen G. On a generalized Lorenz canonical form of chaotic systems. it Int. J. of Bifur. Chaos, vol. 12, 1789-1812, 2002.  Čelikovsky S., Lynnyk V., and Šebek M. Antisynchronization chaos shift keying method based on generalized Lorenz system. Proceedings of the 1st IFAC Conference on Analysis and Control of Chaotic Systems. CHAOS '06, 333-338, 2006.  Čelikovsky S., Lynnyk V., and Šebek M. Observer-based chaos sychronization in the generalized chaotic Lorenz systems and its application to secure encryption. Proceedings of the 45th IEEE Conference on Decision and Contol, 3783-3788, 2006.  Čelikovsky S., Vaneček A. Bilinear systems and chaos. Kybernetika, 30, 403-424, 1994.  Čelikovsky S., and Chen G. Secure synchronization of chaotic systems from a nonlinear observer approach. IEEE Trans. Aut. Contr., 50, 76-82, 2005.  Dachselt F., and Schwartz W. Chaos and cryptography. IEEE Trans. Circ. Syst. I: Fund. Th. and Appl., 48, 1498-1509, 2001.  Dedieu H., Kennedy M.P., and Hasler M. Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuit. IEEE Trans. Circ. Syst.-II, 40, 634-642, 1993.  Kocarev L. Chaos-based cryptography: a brief overview. Circuits and Systems Magazine, vol. 1, 6-21, 2001.  Lian K., and Liu P. Synchronization with message embedded for generalized Lorenz chaotic circuits and its error analysis. IEEE Trans. Circ. Syst.-I, 47, 1418-1424, 2000.  Parlitz U., Chua L.O., Kocarev L., Halle K.S., Shang A. Transmission of digital signals by chaotic synchronization. Int. J. of Bifur. Chaos, 2, 973-977, 1992.  Vaneček A., and Čelikovsk S. Control Systems: From Linear Analysis to Synthesis of Chaos. London: Prentice-Hall, 1996.