包络曲线构造中利用某些拐点的改进EMD方法

IF 0.6 4区物理与天体物理 Q4 ACOUSTICS

Archives of Acoustics Pub Date : 2023-08-29 DOI:10.24425/aoa.2023.145245

M. Kafil, K. Darabi, S. Ziaei-Rad

{"title":"包络曲线构造中利用某些拐点的改进EMD方法","authors":"M. Kafil, K. Darabi, S. Ziaei-Rad","doi":"10.24425/aoa.2023.145245","DOIUrl":null,"url":null,"abstract":"The empirical mode decomposition (EMD) algorithm is widely used as an adaptive time-frequency analysis method to decompose nonlinear and non-stationary signals into sets of intrinsic mode functions (IMFs). In the traditional EMD, the lower and upper envelopes should interpolate the minimum and maximum points of the signal, respectively. In this paper, an improved EMD method is proposed based on the new interpolation points, which are special inﬂection points (SIP n ) of the signal. These points are identiﬁed in the signal and its ﬁrst ( n − 1 ) derivatives and are considered as auxiliary interpolation points in addition to the extrema. Therefore, the upper and lower envelopes should not only pass through the extrema but also these SIP n sets of points. By adding each set of SIP i ( i = 1 , 2 ,...,n ) to the interpolation points, the frequency resolution of EMD is improved to a certain extent. The eﬀectiveness of the proposed SIP n -EMD is validated by the decomposition of synthetic and experimental bearing vibration signals.","PeriodicalId":8149,"journal":{"name":"Archives of Acoustics","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Improved EMD Method Based on Utilizing Certain Inflection Points in the Construction of Envelope Curves\",\"authors\":\"M. Kafil, K. Darabi, S. Ziaei-Rad\",\"doi\":\"10.24425/aoa.2023.145245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The empirical mode decomposition (EMD) algorithm is widely used as an adaptive time-frequency analysis method to decompose nonlinear and non-stationary signals into sets of intrinsic mode functions (IMFs). In the traditional EMD, the lower and upper envelopes should interpolate the minimum and maximum points of the signal, respectively. In this paper, an improved EMD method is proposed based on the new interpolation points, which are special inﬂection points (SIP n ) of the signal. These points are identiﬁed in the signal and its ﬁrst ( n − 1 ) derivatives and are considered as auxiliary interpolation points in addition to the extrema. Therefore, the upper and lower envelopes should not only pass through the extrema but also these SIP n sets of points. By adding each set of SIP i ( i = 1 , 2 ,...,n ) to the interpolation points, the frequency resolution of EMD is improved to a certain extent. The eﬀectiveness of the proposed SIP n -EMD is validated by the decomposition of synthetic and experimental bearing vibration signals.\",\"PeriodicalId\":8149,\"journal\":{\"name\":\"Archives of Acoustics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Acoustics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.24425/aoa.2023.145245\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ACOUSTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Acoustics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.24425/aoa.2023.145245","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ACOUSTICS","Score":null,"Total":0}

引用次数: 0

摘要

经验模式分解（EMD）算法作为一种自适应时频分析方法，被广泛用于将非线性和非平稳信号分解为一组固有模式函数（IMF）。在传统的EMD中，下包络和上包络应该分别对信号的最小点和最大点进行插值。本文提出了一种基于新插值点的改进EMD方法，新插值点是信号的特殊反射点（SIP n）。这些点在信号及其一阶（n-1）导数中被识别，并被视为除极值之外的辅助插值点。因此，上包络和下包络不仅应该通过极值，还应该通过这些SIP n组点。通过将每组SIP i（i=1，2，…，n）添加到插值点，EMD的频率分辨率得到了一定程度的提高。通过对合成和实验轴承振动信号的分解，验证了所提出的SIP n-EMD的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An Improved EMD Method Based on Utilizing Certain Inflection Points in the Construction of Envelope Curves

The empirical mode decomposition (EMD) algorithm is widely used as an adaptive time-frequency analysis method to decompose nonlinear and non-stationary signals into sets of intrinsic mode functions (IMFs). In the traditional EMD, the lower and upper envelopes should interpolate the minimum and maximum points of the signal, respectively. In this paper, an improved EMD method is proposed based on the new interpolation points, which are special inﬂection points (SIP n ) of the signal. These points are identiﬁed in the signal and its ﬁrst ( n − 1 ) derivatives and are considered as auxiliary interpolation points in addition to the extrema. Therefore, the upper and lower envelopes should not only pass through the extrema but also these SIP n sets of points. By adding each set of SIP i ( i = 1 , 2 ,...,n ) to the interpolation points, the frequency resolution of EMD is improved to a certain extent. The eﬀectiveness of the proposed SIP n -EMD is validated by the decomposition of synthetic and experimental bearing vibration signals.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Archives of Acoustics 物理-声学

CiteScore

1.80

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Archives of Acoustics, the peer-reviewed quarterly journal publishes original research papers from all areas of acoustics like: acoustical measurements and instrumentation, acoustics of musics, acousto-optics, architectural, building and environmental acoustics, bioacoustics, electroacoustics, linear and nonlinear acoustics, noise and vibration, physical and chemical effects of sound, physiological acoustics, psychoacoustics, quantum acoustics, speech processing and communication systems, speech production and perception, transducers, ultrasonics, underwater acoustics.