基于状态观测器的超混沌保密通信系统的设计

Design of Hyperchaos Secure Communication System Based on State Observer

为了解决保密通信的问题,在研究混沌同步的基础上,设计一种基于状态观测器的超混沌保密通信系统。混沌系统采用超混沌Liu系统作为基础模型,有效地提高系统的保密性;通过对n×n阶矩阵是否满秩求解,完成对2个超混沌系统能否达到同步的判定,避免计算高维系统的Lyapunov指数,具有广泛的适用性;混沌系统选择en(t)=y2+(1+x2)p(t)作为加密函数,保证该保密通信方案的灵活性。实验表明,本文设计的超混沌保密通信系统,具有比较高的安全性、广泛的适应性、能够支持一定的动态调整等特点。

In order to solve the secure communication problem, on the basis of studying the chaotic synchronous, this paper designs a hyperchaos secure communication system based on state observer. The hyperchaos Liu system is applied as model of the chaotic system, it can improve the system security efficiently. According to whether the n x n row matrix is full rank, it can judge two hyperehaos systems whether or not achieve synchronism, and avoid the Lyapunov index computation of high dimensional sys- tem. The method is of widespread applicability. The chaotic system uses the en（t） = y2 ＋ （1 ＋ x2） p（t） as the cryptographic func- tion, can ensure the flexibility of secure communication. Theoretical analysis and experimental results show that the hyperchaos se- cure communication system has the characteristics of high security, wide applicability and supporting a certain dynamic adjustment.