| 希尔伯特-黄变换中拟合过冲和端点飞翼的原因及解决办法s |
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| 引用本文： | 龙思胜,张铁宝,龙峰.希尔伯特-黄变换中拟合过冲和端点飞翼的原因及解决办法s[J].地震学报,2005,27(5):561-568. |
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| 作者姓名： | 龙思胜 张铁宝 龙峰 |
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| 作者单位： | （中国成都610041 四川省地震局） |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 深入分析了现有的三次样条拟合方法，指出ldquo;拟合过冲rdquo;现象产生的原因，并提出新的三次样条拟合方法和正弦函数拟合方法. 这两种新拟合方法都具有消除ldquo;过冲rdquo;现象，拟合函数连续、一阶导数连续、计算简便、计算量小、易于操作等优点. 同时，指明了ldquo;端点飞翼rdquo;现象产生的原因，并提出一种处理资料曲线的端点问题的技巧. 该技巧能够在不改变资料曲线的条件下消除ldquo;端点飞翼rdquo;现象. 拟合新方法和新技巧能结合运用，得到完全没有ldquo;拟合过冲rdquo;和ldquo;端点飞翼rdquo;的拟合曲线，为时序曲线固有模态函数分解提供了可靠的技术基础.
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| 关 键 词： | 希尔伯特—黄变换 三次样条拟合 正弦拟合 拟合过冲 拟合端点飞翼 |
| 文章编号： | 0253-3782(2005)05-0561-08 |
| 修稿时间： | 2004年7月5日 |
CAUSES AND SOLUTIONS OF OVERSHOOT AND UNDERSHOOT AND END SWING IN HILBERT-HUANG TRANSFORM |
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| Long Sisheng,Zhang Tiebao,Long Feng.CAUSES AND SOLUTIONS OF OVERSHOOT AND UNDERSHOOT AND END SWING IN HILBERT-HUANG TRANSFORM[J].Acta Seismologica Sinica,2005,27(5):561-568. |
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| Authors: | Long Sisheng Zhang Tiebao Long Feng |
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| Abstract: | The existing cubic spline fitting is thoroughly analyzed, and the reason for produce of the overshoot and undershoot phenomenon is pointed out. Furthermore a new method of cubic spline fitting and sine function fitting is proposed in this paper. The two new fitting methods 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 operation. At the same time, the reason for causing the end swing phenomenon is explained and a new technique which can remove the end swing phenomenon on the condition of unchanging data curves, of handling the end points of the data curves is given out. Thus by the combination of new fitting methods and the new technique we cac obtain the fitted curves without the overshoot and undershoot phenomenon and the end swing phenomenon completely, which provides a reliable technique foundation for decomposing the time series curves into the intrinsic mode functions. |
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| Keywords: | Hilbert-Huang transform cubic spline fitting sine function fitting overshoot and undershoot end swings |
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