A Chaotic Secure Communication Scheme Based on Duffing Oscillators and Frequency Estimation

Abstract This work presents a new technique to securely transmit and retrieve a message signal via chaotic systems. In our system, a two-valued message signal modulates the frequency of a Duffing oscillator sinusoidal term. An observer is used in the receiver side to retrieve the sinusoidal signal that contains the message and a novel frequency estimator is then used to reproduce an approximated estimation of the message signal. The performance of the system is analyzed by means of numerical simulations performed in Matlab.

[1]  Leonardo Acho,et al.  Impulsive Synchronization for a New Chaotic oscillator , 2007, Int. J. Bifurc. Chaos.

[2]  Tao Yang,et al.  A SURVEY OF CHAOTIC SECURE COMMUNICATION SYSTEMS , 2004 .

[3]  Jiashu Zhang,et al.  Chaotic secure communication based on nonlinear autoregressive filter with changeable parameters , 2006 .

[4]  Ö. Morgül,et al.  A chaotic masking scheme by using synchronized chaotic systems , 1999 .

[5]  M. Feki.  An adaptive chaos synchronization scheme applied to secure communication , 2003 .

[6]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[7]  Boris R. Andrievsky.  Adaptive synchronization methods for signal transmission on chaotic carriers , 2002, Math. Comput. Simul..

[8]  Zhong-Ping Jiang,et al.  A note on chaotic secure communication systems , 2002 .

[9]  Romeo Ortega,et al.  A globally convergent frequency estimator , 1997, 1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329).

[10]  Alexey A. Bobtsov,et al.  New approach to the problem of globally convergent frequency estimator , 2008 .

[11]  Peter J. Gawthrop,et al.  A nonlinear disturbance observer for robotic manipulators , 2000, IEEE Trans. Ind. Electron..

[12]  J. O'Reilly,et al.  A nonlinear disturbance observer for two link robotic manipulators , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[13]  Leon O. Chua,et al.  Chaos Synchronization in Chua's Circuit , 1993, J. Circuits Syst. Comput..

[14]  Changchun Hua,et al.  A new chaotic secure communication scheme , 2005 .

[15]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[16]  Mingjun Wang,et al.  A chaotic secure communication scheme based on observer , 2009 .