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A Combined Denoising Method of Adaptive VMD and Wavelet Threshold for Gear Health Monitoring

Guangfei Jia*, Jinqiu Yang, Hanwen Liang

School of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang, 050018, China

* Corresponding Author: Guangfei Jia. Email: email

(This article belongs to the Special Issue: Sensing Data Based Structural Health Monitoring in Engineering)

Structural Durability & Health Monitoring 2025, 19(4), 1057-1072. https://doi.org/10.32604/sdhm.2025.061805

Abstract

Considering the noise problem of the acquisition signals from mechanical transmission systems, a novel denoising method is proposed that combines Variational Mode Decomposition (VMD) with wavelet thresholding. The key innovation of this method lies in the optimization of VMD parameters K and using the improved Horned Lizard Optimization Algorithm (IHLOA). An inertia weight parameter is introduced into the random walk strategy of HLOA, and the related formula is improved. The acquisition signal can be adaptively decomposed into some Intrinsic Mode Functions (IMFs), and the high-noise IMFs are identified based on a correlation coefficient-variance method. Further noise reduction is achieved using wavelet thresholding. The proposed method is validated using simulated signals and experimental signals, and simulation results indicate that the proposed method surpasses original VMD, Empirical Mode Decomposition (EMD), and wavelet thresholding in terms of Signal-to-Noise Ratio (SNR) and Root Mean Square Error (RMSE), and experimental results indicate that the proposed method can effectively remove noise in terms of three evaluation metrics. Furthermore, compared with Feature Mode Decomposition (FMD) and Multichannel Singular Spectrum Analysis (MSSA), this method has a better envelope spectrum. This method not only provides a solution for noise reduction in signal processing but also holds significant potential for applications in structural health monitoring and fault diagnosis.

Graphic Abstract

A Combined Denoising Method of Adaptive VMD and Wavelet Threshold for Gear Health Monitoring

Keywords

Improve horned lizard optimization algorithm; variational mode decomposition; wavelet threshold; inertial weight; secondary noise reduction; structural health monitoring

Cite This Article

APA Style
Jia, G., Yang, J., Liang, H. (2025). A Combined Denoising Method of Adaptive VMD and Wavelet Threshold for Gear Health Monitoring. Structural Durability & Health Monitoring, 19(4), 1057–1072. https://doi.org/10.32604/sdhm.2025.061805
Vancouver Style
Jia G, Yang J, Liang H. A Combined Denoising Method of Adaptive VMD and Wavelet Threshold for Gear Health Monitoring. Structural Durability Health Monit. 2025;19(4):1057–1072. https://doi.org/10.32604/sdhm.2025.061805
IEEE Style
G. Jia, J. Yang, and H. Liang, “A Combined Denoising Method of Adaptive VMD and Wavelet Threshold for Gear Health Monitoring,” Structural Durability Health Monit., vol. 19, no. 4, pp. 1057–1072, 2025. https://doi.org/10.32604/sdhm.2025.061805



cc Copyright © 2025 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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