Discrete-time chaotic encryption systemspart I: Statistical design approach

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 44, Issue 10, 1997, Pages 963-970

  Götz, Marco ^a   Kelber, Kristina ^a   Schwarz, Wolfgang ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Chaotic encryption

Indexed keywords

CHAOS THEORY; COMMUNICATION CHANNELS (INFORMATION THEORY); CONTROL NONLINEARITIES; CRYPTOGRAPHY; STATISTICAL METHODS;

DISCRETE TIME CONTINUOUS VALUE CODER SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0031258419     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.633885     Document Type: Article

References (22)

1. T. Falk, M. Götz, K. Kelber, and W. Schwarz, "Discrete-time chaotic encryption systems-Part II: Realizations and performance analysis," IEEE Trans. Circuits Syst., to be published.
2. F. Dachselt, K. Kelber, and W. Schwarz, "Discrete-time chaotic encryption systems-Part III: Cryptographical analysis," IEEE Trans. Circuits Syst., to be published.
3. M. P. Kennedy and H. Dedieu, "Synchronization of dynamical systems: Recent progress, potential applications and limitations," in Proc. NSIP'95, 1995, pp. 121-124.
4. F. Böhme, "A framework for communication using chaos synchronization," in Proc. 3rd Exp. Chaos Conf., Edinburgh, Scotland, 1995.
5. D. R. Frey, "Chaotic digital encoding: An approach to secure communication," IEEE Trans. Circuits Syst. 11, vol. 40, pp. 660-666, 1993.
6. L. Kocarev and U. Parlitz, "Communication using chaotic signals," in Proc. NDES'94, 1994, pp. 147-152.
7. A. De Angeli, R. Genesio, and A. Tesi, "Dead-beat chaos synchronization in discrete-time systems," IEEE Trans. Circuits Syst. I, vol. 42, pp. 54-56, Jan. 1995.
8. K. Kelber, "Signal generators based on digital filter structures (in German)," Ph.D. dissertation, TU Dresden, Germany, 1995.
9. K. Kelber and T. Kilias, "Analysis of an encoder-decoder-system based on digital filter structures with two's complement overflow characteristics," in Proc. ISCAS'96, Atlanta, GA, 1996, pp. 166-169.
10. K. Kelber and W. Schwarz, "Digital realization of discrete-time chaos generators," in Proc. ECCTD'97, Budapest, Hungary, 1997, pp. 1025-1030.
11. C. E. Shannon, "Communication theory of secrecy systems," Bell Syst. Tech. ]., vol. 28, pp. 656-715, 1949.
12. F. Böhme, U. Feldmann, W. Schwarz, and A. Bauer, "Information transmission by chaotizing," Int. J. Electron., vol. 79, no. 6, p. 765, 1995.
13. U. Feldmann, "Synchronization of chaotic systems," Ph.D. dissertation, TU Dresden, Germany, 1995.
14. U. Feldmann, M. Hasler, and W. Schwarz, "Communication by chaotic signals: The inverse system approach," Int. J. Circuit Theory Applicat., vol. 24, no. 5, pp. 551-579, 1996.
15. M. Itoh and H. Murakami, "Chaos synchronization in discrete-time dynamical systems and secure communications," in Proc. ECCTD'93, 1993, pp. 611-614.
16. T. Kilias, "One-dimensional discrete-time maps (in German)," Ph.D. dissertation, Dresden, Germany, 1992.
17. K. Kelber, "JV-dimensional uniform probability distribution in nonlinear auto-regressive filter structures," in preparation.
18. A. Lasota and M. C. Mackey, "Chaos, fractals and noise-Stochastic aspects of dynamics," Appl. Math. Sci., vol. 97, 1994.
19. W. E. Savage, "Self-synchronising scrambler for data transmission," Bell Syst. Tech. ]., pp. 449-487, Feb. 1967.
20. B. Elspas, "The theory of autonomous linear sequential networks," IRE Trans. Circuit Theory, pp. 45-60, 1959.
21. D. R. Stinson, Cryptography-Theory and Practice. Boca Raton, FL: CRC, 1995.
22. H. Zhou and X.-T. Ling, "Problems with the chaotic inverse system encryption approach," IEEE Trans. Circuits Syst. I, vol. 44, pp. 268-271, Mar. 1997.