A novel denoising method for non‐linear and non‐stationary signals

Abstract Signal denoising is a crucial step in signal analysis. Various procedures have been attempted by researchers to remove the noise while preserving the effective components of the signal. One of the most successful denoising methods currently in use is the variational mode decomposition (VMD)...

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Main Authors: Honglin Wu, Zhongbin Wang, Lei Si, Chao Tan, Xiaoyu Zou, Xinhua Liu, Futao Li
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12165
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author Honglin Wu
Zhongbin Wang
Lei Si
Chao Tan
Xiaoyu Zou
Xinhua Liu
Futao Li
author_facet Honglin Wu
Zhongbin Wang
Lei Si
Chao Tan
Xiaoyu Zou
Xinhua Liu
Futao Li
author_sort Honglin Wu
collection DOAJ
description Abstract Signal denoising is a crucial step in signal analysis. Various procedures have been attempted by researchers to remove the noise while preserving the effective components of the signal. One of the most successful denoising methods currently in use is the variational mode decomposition (VMD). Unfortunately, the effectiveness of VMD depends on the appropriate selection of the decomposition level and the effective modes to be reconstructed, and, like many other traditional denoising methods, it is often ineffective when the signal is non‐linear and non‐stationary. In view of these problems, this study proposes a new denoising method that consists of three steps. First, an improved VMD method is used to decompose the original signal into an optimal number of intrinsic mode functions (IMFs). Second, the energy variation ratio function is applied to distinguish between the effective and non‐effective IMFs. Third, the valuable components are retained while the useless ones are removed, and the denoised signal is obtained by reconstructing the useful IMFs. Simulations and experiments on various noisy non‐linear and non‐stationary signals demonstrated the superior performance of the proposed method over existing denoising approaches.
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publishDate 2023-01-01
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series IET Signal Processing
spelling doaj-art-f3398aa29ea7473990b8de4910da08522025-02-03T01:29:43ZengWileyIET Signal Processing1751-96751751-96832023-01-01171n/an/a10.1049/sil2.12165A novel denoising method for non‐linear and non‐stationary signalsHonglin Wu0Zhongbin Wang1Lei Si2Chao Tan3Xiaoyu Zou4Xinhua Liu5Futao Li6Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaJiangsu Key Laboratory of Mine Mechanical and Electrical Equipment School of Mechatronic Engineering China University of Mining and Technology Xuzhou ChinaAbstract Signal denoising is a crucial step in signal analysis. Various procedures have been attempted by researchers to remove the noise while preserving the effective components of the signal. One of the most successful denoising methods currently in use is the variational mode decomposition (VMD). Unfortunately, the effectiveness of VMD depends on the appropriate selection of the decomposition level and the effective modes to be reconstructed, and, like many other traditional denoising methods, it is often ineffective when the signal is non‐linear and non‐stationary. In view of these problems, this study proposes a new denoising method that consists of three steps. First, an improved VMD method is used to decompose the original signal into an optimal number of intrinsic mode functions (IMFs). Second, the energy variation ratio function is applied to distinguish between the effective and non‐effective IMFs. Third, the valuable components are retained while the useless ones are removed, and the denoised signal is obtained by reconstructing the useful IMFs. Simulations and experiments on various noisy non‐linear and non‐stationary signals demonstrated the superior performance of the proposed method over existing denoising approaches.https://doi.org/10.1049/sil2.12165energy variation ratiosignal denoisingvariational mode decomposition
spellingShingle Honglin Wu
Zhongbin Wang
Lei Si
Chao Tan
Xiaoyu Zou
Xinhua Liu
Futao Li
A novel denoising method for non‐linear and non‐stationary signals
IET Signal Processing
energy variation ratio
signal denoising
variational mode decomposition
title A novel denoising method for non‐linear and non‐stationary signals
title_full A novel denoising method for non‐linear and non‐stationary signals
title_fullStr A novel denoising method for non‐linear and non‐stationary signals
title_full_unstemmed A novel denoising method for non‐linear and non‐stationary signals
title_short A novel denoising method for non‐linear and non‐stationary signals
title_sort novel denoising method for non linear and non stationary signals
topic energy variation ratio
signal denoising
variational mode decomposition
url https://doi.org/10.1049/sil2.12165
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