| 一种削弱信噪混叠的EMD降噪方法 |
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| 引用本文： | 鲁铁定,钱文龙,贺小星,汪鑫.一种削弱信噪混叠的EMD降噪方法[J].大地测量与地球动力学,2020,40(2):111-116. |
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| 作者姓名： | 鲁铁定 钱文龙 贺小星 汪鑫 |
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| 作者单位： | 东华理工大学测绘工程学院;华东交通大学土木建筑学院;中铁第一勘察设计院集团有限公司轨道交通工程信息化国家重点实验室 |
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| 基金项目： | 国家重点研发计划(2016YFB0501405,2016YFB0502601-04);国家自然科学基金(41464001);江西省科技落地计划(KJLD12077);江西省自然科学基金(2017BAB203032);轨道交通工程信息化国家重点实验室开放基金(SKLK19-11)~~ |
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| 摘 要： | 针对经验模态分解(empirical mode decomposition,EMD)降噪过程中存在信号与噪声模态混叠及直接将分界本征模态函数(intrinsic mode function,IMF)分量归入高频噪声造成真实信号被“湮没”等问题,提出一种改进的EMD降噪方法。该方法将经EMD得到的第2个IMF分量至分界IMF分量进行重构,对重构信号进行下一次EMD,获取其中的“真实”信号,多次重复此操作,最后将所有获得的低频信号累加,从而达到降噪的目的。利用2种模拟数据和1种GPS实测高程数据进行实验,模拟数据与实测数据采用不同的评价指标评价降噪效果,结果表明,改进的EMD方法较传统EMD方法降噪效果更佳,验证了该方法的可靠性。
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| 关 键 词： | EMD 信噪混叠 降噪分析 |
An EMD Noise Reduction Method for Reducing Signal Noise Aliasing |
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| LU Tieding,QIAN Wenlong,HE Xiaoxing,WANG Xin.An EMD Noise Reduction Method for Reducing Signal Noise Aliasing[J].Journal of Geodesy and Geodynamics,2020,40(2):111-116. |
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| Authors: | LU Tieding QIAN Wenlong HE Xiaoxing WANG Xin |
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| Institution: | (Faculty of Geomatics,East China University of Technology,418 Guanglan Road,Nanchang 330013,China;School of Civil Engineer and Architecture,East China Jiaotong University,808 East-Shuanggang Street,Nanchang 330013,China;State Key Laboratory of Rail Transit Engineering Informatization,China Railway First Survey and Design Institute Group Co Ltd,2 Xiying Road,Xi’an 710043,China) |
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| Abstract: | For the empirical mode decomposition (EMD) noise reduction process, there is signal and noise mode aliasing, and the intrinsic mode function (IMF) component is directly classified into high frequency noiseto generate real signals. The real signal is “submerged,” among other issues. This paper proposes an improved method of EMD noise reduction. The improved EMD denoising method mainly reconstructs the second IMF to demarcate the IMF component obtained by EMD decomposition, performs the next EMD decomposition on the reconstructed signal, obtains the “real” signal therein, and repeats this operation multiple times. Finally, all the obtained low frequency signals are accumulated to achieve the purpose of noise reduction. Experiments are carried out using three kinds of simulation data and one kind of GPS measured elevation data. The simulation data and the measured data are evaluated by different evaluation indexes. The results show that the improved EMD method has better noise reduction effects than the traditional EMD method, and the reliability of the method is verified. |
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| Keywords: | EMD signal noise aliasing noise reduction analysis |
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