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基于Cubic Hermite的改进EMD算法
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国家自然科学基金联合基金项目(U1604134);河南省科技攻关项目(212102210327)


Improved EMD Algorithm Based on Cubic Hermite
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    摘要:

    传统经验模态分解(EMD)算法求取IMF分量是依据信号极值点通过三次样条插值拟合上下包络线,然后求其局部均值,存在端点效应问题,严重影响部分特征信号的提取。针对此类问题,提出一种利用Cubic Hermite插值改进EMD过程的方法,并通过LabVIEW平台实现改进后的经验模态分解。采用频率和幅值不同的2种叠加正弦信号进行算法验证,结果表明:该算法能有效缓解包络线过冲、欠冲现象,抑制低频信号的端点效应和端点附近局部失真问题。

    Abstract:

    In traditional empirical mode decomposition (EMD) algorithm, through calculating the local mean value of the upper and lower envelopes which were fitted with cubic spline interpolation based on the extreme point of the signal, the IMF component is obtained.The mathod has the problem of end point effect,severely affecting the extraction of some characteristic signals.Aiming at such problems, a method to improve EMD process by using Cubic Hermite interpolation was proposed,and the improved EMD was realized through LabVIEW platform. Two superimposed sinusoidal signals with different frequency and amplitude were used for algorithm verification. The results show that by using the improved algorithm, the envelope line overshoot and undershoot phenomenon can be effectively alleviated, and the end point effect of low-frequency signals and the local distortion near the end point can be suppressed.

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李奇,刘自然,颜丙生,宋宇宙.基于Cubic Hermite的改进EMD算法[J].机床与液压,2021,49(21):186-190.
LI Qi, LIU Ziran, YAN Bingsheng, SONG Yuzhou. Improved EMD Algorithm Based on Cubic Hermite[J]. Machine Tool & Hydraulics,2021,49(21):186-190

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  • 在线发布日期: 2023-04-07
  • 出版日期: 2021-11-15