| 一种基于小波包变换的关联维数计算方法 |
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| 引用本文： | 刘景夏,胡冰新,单华宁,王平立.一种基于小波包变换的关联维数计算方法[J].解放军理工大学学报,2006,7(3):229-231. |
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| 作者姓名： | 刘景夏 胡冰新 单华宁 王平立 |
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| 作者单位： | [1]解放军理工大学理学院,江苏南京211101 [2]南京理工大学,江苏南京210094 |
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| 摘 要： | 为了方便、快速和有效地从时间序列信号中提取关联维数,提出了一种利用非线性时间序列的小波包变换模数代替混沌信号本身,在m维相空间中计算其关联维数的方法.用具体实例进行了仿真验算和噪声分析.结果表明,算法准确、可靠,可以有效克服采样过程中噪声对信号的干扰.
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| 关 键 词： | 关联维数 小波包变换 混沌Rossler系统 |
| 文章编号： | 1009-3443（2006）03-0229-03 |
| 收稿时间： | 2005-06-17 |
| 修稿时间： | 2005年6月17日 |
Method of computing correlation dimension based on wavelet packet transform |
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| LIU Jing-xi,HU Bing-xin,SHAN Hua-ning and WANG Ping-li.Method of computing correlation dimension based on wavelet packet transform[J].Journal of PLA University of Science and Technology(Natural Science Edition),2006,7(3):229-231. |
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| Authors: | LIU Jing-xi HU Bing-xin SHAN Hua-ning and WANG Ping-li |
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| Institution: | Institute of Science. ,PLA Univ. of Sci. &. Tech. .Nanjing 211101, China;Institute of Science. ,PLA Univ. of Sci. &. Tech. .Nanjing 211101, China;Nanjing Univ. of Sci. &. Tech. , Nanjing 210094, China;Nanjing Univ. of Sci. &. Tech. , Nanjing 210094, China |
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| Abstract: | A method of computing correlation dimension of a chaos signal in m-dimension phase space was proposed, where the chaos signal was replaced by the wavelet packet transform modulus of the nonlinear time series. Simulation and noise analysis were carried on with a special example. The result has demonstrated that the algorithm is exact and reliable, and can overcome the disturbance of the noise to the signal in sampling. |
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| Keywords: | correlation dimension wavelet packet transform chaos Rossler system |
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