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EMD中的求取均值曲线方法 被引量:6

A method of obtaining the mean curve for empirical mode decomposition
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摘要 为了提高求取EMD均值曲线的速度和精度,提出了一种基于分段高阶样条拟合的获取方法,它利用分段高阶样条曲线获得更精确的均值点,同时又克服了高阶样条拟合中运算量太大的缺点,对均值点序列直接进行拟合得到均值曲线,在保证均值曲线光滑的前提下减小了欠冲与过冲的影响,而且获得了较快的筛选本征模态函数的速度.使用该方法分别对平稳和非平稳信号进行了处理,结果表明该方法可准确实现模态提取,对2种信号都取得了良好的效果. This paper proposed a method of obtaining the mean curve for empirical mode decomposition(EMD).The method obtained the mean curve based on piecewise high order spline fitting.It obtained more accurate mean points by using a piecewise high order spline curve,but overcame the disadvantage of too much computation in high order spline fitting.The mean curve was attained by directly fitting the mean points sequence,and the effects of overshooting and undershooting were reduced on the premise of guaranteeing the smoothness of the mean curve;in the meantime a faster speed of sifting intrinsic mode functions(IMF) was achieved.Both stationary and non-stationary signals were analyzed by this method,and the result shows that the method realized accurate mode extraction and is useful for both kinds of signals.
出处 《哈尔滨工程大学学报》 EI CAS CSCD 北大核心 2011年第7期873-876,共4页 Journal of Harbin Engineering University
基金 国防科学技术工业委员会基础研究基金资助项目(401501040104) 中央高校基础科研业务费专向基金资助项目(HEUCF20111117)
关键词 EMD 均值点 均值曲线 分段高阶样条拟合 欠冲与过冲 EMD mean points mean curve piecewise high order spline fitting overshoot and undershoot
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参考文献7

  • 1HUANG N E, SHEN Zheng, LONG S R, et al. The empirical mode decomposition and the Hilbert spectrum for non- linear and non-station time series analysis [ J ]. Proc R Soc Lond, 1998, 454: 903-995.
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二级参考文献7

  • 1关治 陈景良.数值计算方法[M].北京:清华大学出版社,2002.126-134.
  • 2Huang N E, Shen Z, Long S R, et al. 1998. The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series[J]. Proc R Soc London Series A, 454:903~995
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  • 6罗奇峰,石春香.Hilbert-Huang变换理论及其计算中的问题[J].同济大学学报(自然科学版),2003,31(6):637-640. 被引量:75
  • 7石春香,罗奇峰.时程信号的Hilbert-Huang变换与小波分析[J].地震学报,2003,25(4):398-405. 被引量:73

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