Method for removing interference in chaotic signals based on the Lyapunov exponent  

作　　者：YANG Nan LONG ZhangCai ZHAO XiangHui 

机构地区：[1]College of Physics,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Chinese Science Bulletin》2012年第5期455-459,共5页

基　　金：supported by the National Natural Science Foundation of China (60874099 and 90820001)

摘　　要：A new method based on the phenomenon of synchronization and the properties of chaos is proposed to reduce interference in the transferred chaotic signals of synchronized systems. The interference is considered as a series of small deviations from the original clean trajectory in the phase space. By means of our special design, these small deviations can be estimated using positive Lyapunov exponents, and removed from interfered chaotic signals. Application is illustrated for the Lorenz attractor, and numerical computing demonstrates that the method is effective in removing typical external interference.A new method based on the phenomenon of synchronization and the properties of chaos is proposed to reduce interference in the transferred chaotic signals of synchronized systems. The interference is considered as a series of small deviations from the origi- nal clean trajectory in the phase space. By means of our special design, these small deviations can be estimated using positive Lyapunov exponents, and removed from interfered chaotic signals. Application is illustrated for the Lorenz attractor, and numeri- cal computing demonstrates that the method is effective in removing typical external interference.

关 键 词：LYAPUNOV指数 干扰消除 混沌信号 同步系统 特殊设计 指数估计 干扰删除 外部干扰 

分 类 号：O415.5[理学—理论物理] O657.31[理学—物理]