{"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}
引用次数: 0
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.
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.