Xiang-Jun Wu
Computing Center, Henan University, Kaifeng 475001, China.
Chaos. 2006 Dec;16(4):043118. doi: 10.1063/1.2401058.
A new chaotic communication scheme using adaptive synchronization technique of two unified chaotic systems is proposed. Different from the existing secure communication methods, the transmitted signal is modulated into the parameter of chaotic systems. The adaptive synchronization technique is used to synchronize two identical chaotic systems embedded in the transmitter and the receiver. It is assumed that the parameter of the receiver system is unknown. Based on the Lyapunov stability theory, an adaptive control law is derived to make the states of two identical unified chaotic systems with unknown system parameters asymptotically synchronized; thus the parameter of the receiver system is identified. Then the recovery of the original information signal in the receiver is successfully achieved on the basis of the estimated parameter. It is noticed that the time required for recovering the information signal and the accuracy of the recovered signal very sensitively depends on the frequency of the information signal. Numerical results have verified the effectiveness of the proposed scheme.
提出了一种利用两个统一混沌系统的自适应同步技术的新型混沌通信方案。与现有的安全通信方法不同，传输信号被调制到混沌系统的参数中。自适应同步技术用于使嵌入在发射机和接收机中的两个相同混沌系统同步。假设接收机系统的参数未知。基于李雅普诺夫稳定性理论，推导了一种自适应控制律，使两个具有未知系统参数的相同统一混沌系统的状态渐近同步；从而识别出接收机系统的参数。然后，基于估计的参数成功地实现了接收机中原始信息信号的恢复。注意到恢复信息信号所需的时间和恢复信号的精度非常敏感地取决于信息信号的频率。数值结果验证了所提方案的有效性。
