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EMD分解区域的数据研究 被引量:3

Data discussion of the EMD method in the practice
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摘要 本文介绍了一种新的非线性、非平稳信号的处理方法—HHT方法,并运用此方法对地震波进行了理论分析,详细研究了其中的EMD方法及其实现过程;通过大量的数据分析,总结了这一方法的优越性,指出其具有良好筛分及不可良好筛分的适用数值范围,并总结了其中蕴涵的规律。当组合简谐波的频率固定,A2/A1很小,超过某一限值时;或者A2/A1很大,超过某一限值时,数据值不能用EMD方法进行筛分。当组合简谐波的幅值比A2/A1固定不变,而频率变化时,当f/f很小时,如超过某一限值;或者f很接近f,f/f超过某一限值时,数据y值不能用EMD方法进行筛分。 In this paper,a new nonlinear non-steady method for signal treatment is introduced in detail,which is valid and predominant.It is used to analysed the seismic wave.The EMD method and its process are presented through a great amount of data study.A range of good-shift of data is given from a lot of data analysis and the rule is given.When the frequency of combined sine wave is constant,the value of A2/A1 is very small,and it is over a limit;or the value of A2/A1 is large,and it is over a limit,EMD method is not applicable.When amplitude ratio of sine wave A2/A1 is constant,but the frequency varies,if the value of f2/f1 is very small,and it is over a limit;or the value of f2 is very close to f1,and the ratio f2/f1 is over a limit,the value of y is not able to be shifted by EMD method.
作者 郭淑卿
出处 《信号处理》 CSCD 北大核心 2010年第2期277-285,共9页 Journal of Signal Processing
基金 国家自然科学基金资助项目(50708075) 校人才科研起动基金资助项目(06qd03X)
关键词 希尔伯特—黄变换 经验模态分解 本征模态函数 筛分 Hilbert-Huang transform Empirical Mode Decomposition Intrinsic mode function shift
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参考文献4

  • 1Huang N E, Shen Z, Steven R L, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc R Soc Lond, Series A, 1998,454:903-995.
  • 2Huang N E, Shen Z, Steven R L. A new view of nonlinear water waves: the Hilbert spectrum. Ann Rev Fluid Mech, 1999,31:417-457.
  • 3大崎顺彦著,吕敏申,谢礼立译.地震动的谱分析入门.地震出版社,1980.
  • 4Hilbert-Huang, Empirical Mode Decomposition V1. 0, Princeton Satellite Systems, Princeton, New Jersey, 2000.

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