基于小波变换的超混沌系统同步

Hyper-chaotic synchronization with filter based on wavelet transformation

提出了一种基于反馈控制与小波变换相结合的超混沌系统同步方法。在发送端 ,将系统的部分信号进行小波变换去掉细节信息后发送 ,在接收端重构出低频信号 ,将其与接收端信号的差进行离散反馈 ,可以使两个结构相同的超混沌系统达到混沌同步。同时 ,参数失配和噪声对同步的影响被讨论。应用本同步方法可将发送信号压缩后传送 ,节约系统资源 ;滤去发送信号的高频成分 ,减小干扰对同步信号中的影响。文中给出了仿真验证结果。

A kind of chaotic synchronization method by combining feedback control with wavelet transformation is presented in the paper. In the transmitter, part signals are transformed by wavelet and the detail informatin is removed. In the receiver, the component with low frequency is reconstructed and discrete feedback is used, we show that synchronization of two identical structure hyper chaotic systems is attained. The effect of non match parameter and noise on chaotic synchronization is discussed. Using the synchronous method, the transmitting signal is transpotred in compressible way, system resource is saved, the component with high frequency is filtered and the effect of disturbance on synchronization is reduced. The synchronization method is illustrated by numerical simulation experiment.