| 快速滤波本征模态函数分解中的边界处理 |
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| 引用本文： | 张立振,刘鑫. 快速滤波本征模态函数分解中的边界处理[J]. 中国海洋大学学报(自然科学版), 2012, 0(Z1): 204-207 |
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| 作者姓名： | 张立振 刘鑫 |
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| 作者单位： | 中国海洋大学数学科学学院 |
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| 基金项目： | 国家自然科学基金项目(50879085)资助 |
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| 摘 要： | 针对快速滤波分解信号为本征模态函数(IMF)所产生的边界效应问题,提出了一种抑制这种边界效应的方法。即利用快速滤波先将原信号分解为本征模态函数,然后在信号内部截取适当的两段分别延拓到原信号两端,经快速滤波得到分解结果后,再截去延拓的部分,保留原信号长度的分解结果。通过实例验证了该方法的有效性。
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| 关 键 词： | 希尔伯特-黄变换 本征模态函数 快速滤波本征模态分解(FFDSI) 边界效应 |
Dealing with the End Effect of FFDSI |
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| ZHANG Li-Zhen,LIU-Xin. Dealing with the End Effect of FFDSI[J]. Periodical of Ocean University of China, 2012, 0(Z1): 204-207 |
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| Authors: | ZHANG Li-Zhen LIU-Xin |
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| Affiliation: | (College of Mathematical Science,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | In view of the end effect in the process of FFDSI,a method was proposed to overcome the problem.In this method,the original signal was decomposed into IMFs at first.Then two appropriate sections intercepted from the interior were joined to the two sides of the original signal respectively.By means of using FFDSI on the extended signal,decomposed results were obtained and then the extensions of these IMFs were cut off in order to retain the decomposed results have the same length as the original signal.The experiment results show the method is effective. |
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| Keywords: | Hilbert-Huang Transform intrinsic mode function(IMF) fast filtering decomposing signal into IMFs(FFDSI) end effect |
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