Abstract—In this paper, a secure communication scheme is proposed in which the concept of carrier encryption is used. At the transmitter end, the unified chaotic system and the uncertain hyperchaotic Chen system are coupled, constrained and used as a new hyperchaotic system. The outputs of the system are encrypted using a set of pre-defined encryption rules. The encrypted outputs are transmitted to the receiving end through a noisy public communication channel. At the receiving end, the Iterative Decomposed Uncertain Constrained Extended Kalman Filter (IDUCEKF) is used to reconstruct the carrier signals and hence retrieve the transmitted data. A simulated case study is presented where the proposed secure communication scheme is applied to transmit discrete images. The quality of the proposed communications scheme is measured by the bit-error rate (BER) and the associated correlation coefficients.

Index Terms—Extended Kalman filter, state estimation, secure communications, chaos synchronization.

The author is with the Electrical Engineering Department, College of Engineering, Kuwait University. P.O.Box: 5969 Safat, 13060 Kuwait.

Cite:Mohamed Fahim Hassan, "Secure Communications via Stochastic Constrained Uncertain Hyperchaotic System," International Journal of Computer and Electrical Engineering vol. 8, no. 5, pp. 319-329, 2016.