Abstract
A unique secure communication scheme that can be used for the transmission of gray-scale and color videos is presented in this paper. The proposed scheme is developed by using the Karhunen-Loéve (K-L) decomposition and the synchronization of the unified chaotic system with the hyperchaotic Chen system. First, the gray-scale or color video is represented by a set of N frames. In order to reduce the data, the K-L decomposition is used to come up with data coefficients and eigenfunctions that optimally obtain the crux of the N frames. Using only the most energetic eigenfunctions to approximate the original frames results in computational savings. The data coefficients corresponding to the most energetic eigenfunctions are encrypted and transmitted using a master system composed of a combination of the unified chaotic system and the hyperchaotic Chen system. At the receiver end, these coefficients are recovered and a controller of the sliding mode type is utilized forcing the master and slave systems to synchronize. Simulation results illustrate how the proposed control law is able to synchronize the master and the slave systems. In addition, a demonstration of the recovery of the original frames using the decrypted data coefficients along with the eigenfunctions of the frame is provided. The presented simulations indicate that the proposed scheme results in an excellent performance.
Highlights
This paper proposes an unprecedented secure communication scheme developed by using the K-L decomposition and the synchronization of hyperchaotic Chen with the unified chaotic systems for transmitting gray-scale and color videos
Even though the idea of using synchronization of hyperchaotic systems for secure communication is available in the literature, the novelty of this work is in the proposed scheme of decomposing the transmitted data before rather than masking the data directly as will be shown later
A sliding mode controller is used at the receiver end to synchronize the two systems consisting of hyperchaotic Chen and unified chaotic systems to recover these data coefficients and reconstruct the transmitted videos
Summary
The field of chaos synchronization has attracted many researchers from an array of disciplines [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31] due to a number of applications which utilize chaos. In 2017, Chen S. et al [40] proposed a systematic methodology based on chaos for video encryption and decryption in real-time. This paper proposes an unprecedented secure communication scheme developed by using the K-L decomposition and the synchronization of hyperchaotic Chen with the unified chaotic systems for transmitting gray-scale and color videos. Even though the idea of using synchronization of hyperchaotic systems for secure communication is available in the literature, the novelty of this work is in the proposed scheme of decomposing the transmitted data before rather than masking the data directly as will be shown later. A sliding mode controller is used at the receiver end to synchronize the two systems consisting of hyperchaotic Chen and unified chaotic systems to recover these data coefficients and reconstruct the transmitted videos.
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