| 正交化经验模式分解方法 |
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| 引用本文： | 楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报(自然科学版),2007,35(3):293-298. |
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| 作者姓名： | 楼梦麟 黄天立 |
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| 作者单位： | 同济大学,土木工程防灾国家重点实验室,上海,200092 |
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| 摘 要： | 针对Hilbert—Huang变换中经验模式分解所得固有模式函数存在的不完全正交问题，基于Gram-Schmidt正交化方法，提出了一种新的正交化处理方法，可得到完全正交的固有模式函数，从而完善了Hilbert—Huang变换方法．通过典型时程曲线的数值模拟的分解结果表明了这一方法的正确性，实际地震波数据的分解显示了这一方法的良好应用前景．
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| 关 键 词： | 地震记录 正交化 经验模式分解 固有模式函数 Hilbert-Huang变换 |
| 文章编号： | 0253-374X（2007）03-0293-06 |
| 修稿时间： | 2005-06-20 |
Orthogonal Empirical Mode Decomposition |
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| LOU Menglin,HUANG Tianli.Orthogonal Empirical Mode Decomposition[J].Journal of Tongji University(Natural Science),2007,35(3):293-298. |
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| Authors: | LOU Menglin HUANG Tianli |
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| Institution: | State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092,China |
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| Abstract: | For the problem that the intrinsic mode functions(IMF) decomposed by the empirical mode decomposition(EMD) in HilbertHuang transform are not orthogonal in mathematical rigor,a new method based on the Gram-Schmidt method is proposed and the complete orthogonal intrinsic mode functions are attained.As a result,Hilbert-Huang transform is improved.The method is validated through the decomposition of a typical time history,and the application is proved to be opromising by the decomposition of a real earthquake record. |
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| Keywords: | earthquake recording orthogonality empirical mode decomposition intrinsic mode function Hilbert-Huang transform |
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