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EMD中的求取均值曲线方法

A method of obtaining the mean curve for empirical mode decomposition

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【作者】 朱正王逸林蔡平

【Author】 ZHU Zheng1,2,WANG Yilin1,CAI Ping1(1.National Laboratory of Underwater Acoustic Technology,Harbin Engineering University,Harbin 150001,China;2.College of Sciences,Harbin Engineering University,Harbin 150001,China)

【机构】 哈尔滨工程大学水声技术国家级重点实验室哈尔滨工程大学理学院

【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.

【Abstract】 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.

【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)
  • 【文献出处】 哈尔滨工程大学学报 ,Journal of Harbin Engineering University , 编辑部邮箱 ,2011年07期
  • 【分类号】O411
  • 【被引频次】8
  • 【下载频次】200
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