分数阶混沌系统耦合同步及混沌键控通信设计

摘要

Fractional order chaotic system synchronization has important application value in the chaotic communication field. It studies the unidirectional coupling synchronization problem of fractional order Chen chaotic system. Based on Lyapunov stability theory of frac-tional order chaotic system,design a single variable linear coupling synchronization controller,and realize the fractional order Chen chaot-ic system coupling synchronization. Apply the fractional order Chen chaotic synchronization system to design the chaotic shift keying communication system,and analyze the bit error rate performance of the system. It is shown that the fractional order chaotic communica-tion system is more secure than the integer order one,and their performances to resist noise are almost same.%分数阶混沌系统同步在混沌通信领域有着重要的应用价值。文中研究分数阶Chen混沌系统的单向耦合同步的问题，基于分数阶混沌系统的Lyapunov稳定性理论，设计分数阶Chen混沌系统单变量线性耦合同步控制器，实现分数阶Chen混沌系统的耦合同步。基于上述分数阶Chen混沌同步系统，设计混沌键控通信系统，分析通信系统的误码率等系统性能。研究表明，分数阶混沌通信系统比整数阶具有更高的保密性，分数阶混沌键控通信系统与整数阶混沌键控通信系统抗噪性能几乎一样。