Study on the Evaluation of the Chaotic Cipher System Using the Improved Volterra Filters and the RBFN Mapping

In this paper, we propose a chaotic cipher system consisting of Improved Volterra Filters and the mapping that is created from the actual voice by using Radial Basis Function Network. In order to achieve a practical system, the system supposes to use the digital communication line, such as the Internet, to maintain the parameter matching between the transmitter and receiver sides. Therefore, in order to withstand the attack from outside, it is necessary that complicate the internal state and improve the sensitivity coefficient. In this paper, we validate the robustness of proposed method from three perspectives of "Chaotic properties", "Randomness", "Coefficient sensitivity".

• Hirotaka Watanabe
• Takaaki Kondo
• Daiki Yoshida
• Ariyoshi Nakayama
• Taichi Sato
• Shuhei Kuriyama
• Hiroyuki Kamata

• Chaos cipher
• 16-bit-length fixed point arithmetic
• Volterra filter
• Seacret communications
• RBF Network

[1] K.Iwata, T.Nakamura, and H.Kamata, "Chaotic modulator with volterra
filter for cipher,” IEICE, Proceeding of NOLTA, pp. 216–219, Sep 2007.
[2] H.Watanabe, D.Yoshida, A.Nakayama, T.Sato, Y.Kawanishi, and H.
Kamata, "Parameter setting for chaotic cipher using simultaneous volterra
filters,” on the 24th workshop on circuits and systems in Awaji, pp. 22–
a1–2–2, Aug 2011.
[3] Y. Hideaki, K. Hiroyuki, E. Tetsuro, and I. Yoshihisa, "Chaos signal
generation system using both linear and nonlinear digital filters with
overflow via fixed-point computation and its application.” IEIC
Technical Report, vol. 99, no. 365, pp. 53–60, Oct 1999.
[4] H. Kamata, Y. Umezawa, M. Dobashi, T. Endo, and Y. Ishida, "Private
communications with chaos based on the fixed-point computation,” Trans.
IEICE, vol. E83-A, no. 6, pp. 1238–1246, Jun 2000.
[5] H. Watanabe, T. Sato, A. Nakayama, D. Yoshida, Y. Kawanishi, and H.
Kamata, "Study on the characteristic analysis and evaluation of digital
chaotic system operated by the fixed point arithmetic,” Proceedings of
2012 RISP International Workshop on Nonlinear Circuits,
Communications and Signal Processing, vol. 5PM1-1/ 2, pp. 377–380, 2012.
[6] Y. Naniwa, T. Kondo, K. Kamiyama, and H. Kamata, "Study on the
artificial synthesis of human voice using radial basis function networks,”
JSST2011, Proc. of International Conference on Modeling and
Simulation Technology., vol. 0077, pp. 228–235, Oct 2011.
[7] M. Sano and Y. Sawada, "Measurement of the lyapunov spectrum from a
chaotic time series,” Physical Review Letters, vol. 55, no. 10, pp.
1082–1085, 1985.