Abstract
Fractional complex chaotic systems have attracted great interest recently. However, most of scholars adopted integer real chaotic system and fractional real and integer complex chaotic systems to improve the security of communication. In this paper, the advantages of fractional complex chaotic synchronization (FCCS) in secure communication are firstly demonstrated. To begin with, we propose the definition of fractional difference function synchronization (FDFS) according to difference function synchronization (DFS) of integer complex chaotic systems. FDFS makes communication secure based on FCCS possible. Then we design corresponding controller and present a general communication scheme based on FDFS. Finally, we respectively accomplish simulations which transmit analog signal, digital signal, voice signal, and image signal. Especially for image signal, we give a novel image cryptosystem based on FDFS. The results demonstrate the superiority and good performances of FDFS in secure communication.
Highlights
With the booming of multimedia and wireless networks, secure communication of information is more and more significant in real applications
We propose the definition of fractional difference function synchronization (FDFS) according to difference function synchronization (DFS) of integer complex chaotic systems
We propose a novel secure communication scheme of fractional complex chaotic systems based on FDFS
Summary
With the booming of multimedia and wireless networks, secure communication of information is more and more significant in real applications. Enlightened by the above discussions, we will put the FCCS with DFS into secure communication in this paper and gain higher security and better reliability than traditional methods and other chaos communication schemes It will combine the advantages of DFS in complex chaotic synchronization and fractional chaotic systems. Compared with secure communication based on integer real chaos synchronization, FCCS increase the number of potential channels, and complicate the types of encryption keys. When it comes to secure communication based on fractional real chaos synchronization, FCCS have nature superiority in transmitting complex signal and choosing variable signal channels. As for secure communication based on integer complex chaos synchronization, FCCS could generate more unpredictable secret keys by means of different fractional orders.
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