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用小波变换和奇异指数表征蔡氏混沌信号键带
Characterizing the Bonds of Chaotic Signals from Chua’s Circuit with Wavelet Transform and Singular Exponent
【摘要】 计算了蔡氏电路混沌信号的离散二进小波变换及奇异指数 .结果发现 ,当尺度 2 5上的小波变换结果的模大于某一阈值时 ,其所对应的信号段就是键带 .在混沌信号的键带处 ,奇异指数取大的正值 ;而在非键带处 ,奇异指数取负值或小的正值
【Abstract】 We calculated the dyadic wavelet transform and singular exponent for the chaotic signals from Chua’s circuit. It was shown that at scale 2 5 when the wavelet transform modulus is greater than some threshold value, it corresponds to the bond segment of chaotic signals; at the bonds, singular exponents take large positive values, elsewhere negative or small positive values. So singular exponent can also characterize the bonds.
【关键词】 小波变换;
奇异指数;
细胞模型;
蔡氏电路;
【Key words】 wavelet transform; singular exponent; cell model; Chua’s circuit;
【Key words】 wavelet transform; singular exponent; cell model; Chua’s circuit;
【基金】 国家自然科学基金! (6 96 72 0 2 2 );教育部高校博士点基金!(970 5 6 116 )
- 【文献出处】 华南理工大学学报(自然科学版) ,Journal of South China University of Technology(Natural Science) , 编辑部邮箱 ,2001年04期
- 【分类号】TN911
- 【下载频次】44