| 经验模态分解方法的小波消失现象 |
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| 引用本文： | 冯志华,朱忠奎,刘刚,伍小燕. 经验模态分解方法的小波消失现象[J]. 数据采集与处理, 2006, 21(4): 478-481 |
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| 作者姓名： | 冯志华 朱忠奎 刘刚 伍小燕 |
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| 作者单位： | 中国科学技术大学精密机械与精密仪器系,合肥,230027;苏州大学机电工程学院,苏州,215021 |
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| 摘 要： | 在分析经验模态分解（EMD）算法的基础上，通过提取叠加在正弦信号中的瞬态微小波形成分发现EMD分析方法的小波消失现象。以正弦信号中的微小信号的提取为分析对象，根据EMD算法的特点，推出正弦信号中的微小波形提取时的小波消失条件。通过改变微小波形的时间中心相对于正弦信号的位置提取正弦信号中叠加的微小波形，验证了小波消失条件的正确性。EMD分解方法的小波消失现象的分析丰富了EMD分解方法的适用性研究。
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| 关 键 词： | 经验模态分解 希尔伯特黄变换 正弦信号 小波消失现象 |
| 文章编号： | 1004-9037（2006）04-0478-04 |
| 收稿时间： | 2005-11-14 |
| 修稿时间： | 2006-06-01 |
Little-Wave-Vanish Phenomena of Empirical Mode Decomposition |
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| Feng Zhihua,Zhu Zhongkui,Liu Gang,Wu Xiaoyan. Little-Wave-Vanish Phenomena of Empirical Mode Decomposition[J]. Journal of Data Acquisition & Processing, 2006, 21(4): 478-481 |
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| Authors: | Feng Zhihua Zhu Zhongkui Liu Gang Wu Xiaoyan |
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| Affiliation: | 1. Department of Precision Machinery and Instrumentation, University of Science and Technology of China, Hefei, 230027; 2. School of Machinery and Electronics, Soochow University, Suzhou, 215021, China |
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| Abstract: | The little-wave-vanish phenomenon is pointed out by analyzing the empirical mode decomposition(EMD) algorithm and extracting the little wave transients.The condition of little-wave-vanish phenomena for extracting little wave transients overlapped on the sine signal is deduced through theoretical analysis of the EMD algorithm.The correctness of the condition is verified through extracting the little wave transients overlapped on the sine signal by shifting the time center of the transients.The analysis verifies the applicability of EMD. |
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| Keywords: | empirical mode decomposition Hilbert-Huang transform sine signal little-wave-vanish phenomena |
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