| Causes and solutions of overshoot and undershoot and end swing in Hilbert-Huang transform |
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| 作者姓名： | 龙思胜 张铁宝 龙锋 |
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| 作者单位： | Earthquake Administration of Sichuan Province Chengdu 610041，China，Earthquake Administration of Sichuan Province Chengdu 610041，China，Earthquake Administration of Sichuan Province Chengdu 610041，China |
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| 基金项目： | The Foundation Research and Development Programs of China (2004CB418404). |
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| 摘 要： | Introduction Hilbert-Huang transform (HHT) is a great break in processing nonlinear and non-stationary data and can be successfully used in many science domains. There are mainly two parts in this method. The first part is to decompose the original data into several intrinsic mode functions (IMF) with the empirical mode decomposition (EMD). IMF components are derived from the original data directly according to the local characteristics in the data under some rules, so that IMF are poste…
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| 收稿时间： | 5 July 2004 |
| 修稿时间： | 27 June 2005 |
Causes and solutions of overshoot and undershoot and end swing in Hilbert-Huang transform |
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| LONG Si-sheng,ZHANG Tie-bao,LONG Feng.Causes and solutions of overshoot and undershoot and end swing in Hilbert-Huang transform[J].Acta Seismologica Sinica(English Edition),2005,18(5):602-610. |
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| Authors: | LONG Si-sheng ZHANG Tie-bao LONG Feng |
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| Institution: | Earthquake Administration of Sichuan Province, Chengdu 610041, China |
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| Abstract: | There are overshoot and undershoot phenomenon and end swing phenomenon in the cubic spline fitting in Hil- bert-Huang transform. The two problems influence data quality of the empirical mode decomposition seriously. The cubic spline fitting has been analysed, and the causes of producing the overshoot and undershoot phenomenon and the end swing phenomenon have been pointed out in this paper. Two new methods of cubic spline fitting and sine spline fitting and the new technique of handling the end points of the original data curve can completely re- move the overshoot and undershoot phenomenon and the end swing phenomenon on the condition of unchanging original data, and have the advantages of the continuous fitting functions and its continuous one order derivative, the simple and convenient calculations, the small calculation amount and the easy work on it. |
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| Keywords: | Hilbert-Huang transform cubic spline fitting sine spline fitting overshoot and undershoot end swings |
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