新型超混沌系统的错位投影同步及在保密通信中的应用

Mismatch Project Synchronization for Hyper-Chaotic Systems and Its Application to Secure Communication

提出了一种新型的混沌系统错位投影同步方案,实现驱动系统与响应系统中所有状态向量的相互错位投影同步,即状态向量不是按照原有的对应关系成比例投影同步.这里以新型的四维超混沌Tang系统和Qi系统为例,研究两种错位投影同步方案.基于Lyapunov系统稳定性理论,构造合适的非线性反馈控制器,分别实现了超混沌系统的同结构和异结构的错位投影同步.然后,利用改进的混沌掩盖方法,将该同步方案应用到保密通信中,在发送端将混沌信号与信息信号加密并发送,最后从接收端系统中不失真地恢复出有用信号,数值仿真结果表明了该方案的可行性和良好的保密特性.

The new mismatch project synchronization is proposed in the paper, which can direct the state vectors between the driver system and response system to synchronize in disorder. Based on the Lyapunov stability theory, two schemes of synchronization are studied and the nonlinear controllers are designed to achieve mismatch projective synchronization for two same or different hyper-chaotic systems. Here Tang system and Qi system are taken as examples. Then this method is applied to secure communication through improved chaotic masking algorithm. The useful signal is mixed with hyper-chaotic signals before transmitted, and is recovered undistorted through the synchronized receiver. Simulation resuhs are presented to demonstrate the effectiveness of the proposed method.