混沌信号奇异性检测与外界冲击度量  

Singularity Detection of Chaotic Time Series and Measurement of External Impulse

作　　者：周佩玲[1] 许旻[1] 赵亮[1] 周涛[1] 

机构地区：[1]中国科学技术大学电子科学与技术系,合肥230026

出　　处：《数据采集与处理》2004年第2期195-198,共4页Journal of Data Acquisition and Processing

基　　金：国家自然科学基金 ( 70 1 71 0 5 3 )资助项目

摘　　要：采用连续小波对真实混沌信号恒生指数进行分析 ,提取它的奇异点并计算奇异点处的 Lipschitz指数。并在此基础之上提出了外界冲击强度的量化方法与外界冲击作用域的概念。系统所受冲击分为连续冲击和离散冲击 ,将奇异点分为孤立奇异点和聚集奇异点。实验表明 ,孤立奇异点不影响系统走势 ,而聚集奇异点对系统走势影响较大。在聚集奇异点处 。The continues wavelet is employed to analyze the real chaotic signal Hang Seng index. The singularities of this index are extracted and their Lipschitz exponents are calculated. The function region of the environmental impulsion is advanced as a new conception,and the quantization of the intensity of the environmental impulsion is carried out via a newly developed method. The impulsion function in a system is clarified as the continuous impulsion and the disperse impulsion;the singularities are separated into isolated singularities and aggregated singularities. Experimental results demonstrate that the system trend is not affected by the isolated singularities but is mostly controlled by the aggregated singularities. At the aggregated singularities,the average intensity of the environmental inpulsion is positively correlated with the Lyapunov exponent that denotes the chaos level of the system.

关 键 词：混沌信号 奇异性 信号检测 李雅普洛夫指数 外界冲击强度 

分 类 号：TN911.23[电子电信—通信与信息系统]