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Open AccessArticle
Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding
by
Yanping Cui
Yanping Cui 1,
Xiaoxu He
Xiaoxu He 1
,
Zhe Wu
Zhe Wu 1,*,
Qiang Zhang
Qiang Zhang 2 and
Yachao Cao
Yachao Cao 1
1
School of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China
2
Key Laboratory of Vehicle Transmission, China North Vehicle Research Institute, Beijing 100072, China
*
Author to whom correspondence should be addressed.
Sensors 2026, 26(2), 750; https://doi.org/10.3390/s26020750 (registering DOI)
Submission received: 16 December 2025
/
Revised: 4 January 2026
/
Accepted: 21 January 2026
/
Published: 22 January 2026
Abstract
Non-stationary, multi-component vibration signals in rotating machinery are easily contaminated by strong background noise, which masks weak fault features and degrades diagnostic reliability. This paper proposes a joint denoising method that combines an improved cordyceps fungus optimization algorithm (ICFO), successive variational mode decomposition (SVMD), and an improved wavelet thresholding scheme. ICFO, enhanced by Chebyshev chaotic initialization, a longitudinal–transverse crossover fusion mutation operator, and a thinking innovation strategy, is used to adaptively optimize the SVMD penalty factor and number of modes. The optimized SVMD decomposes the noisy signal into intrinsic mode functions, which are classified into effective and noise-dominated components via the Pearson correlation coefficient. An improved wavelet threshold function, whose threshold is modulated by the sub-band signal-to-noise ratio, is then applied to the effective components, and the denoised signal is reconstructed. Simulation experiments on nonlinear, non-stationary signals with different noise levels (SNR = 1–20 dB) show that the proposed method consistently achieves the highest SNR and lowest RMSE compared to VMD, SVMD, VMD–WTD, CFO–SVMD, and WTD. Tests on CWRU bearing data and gearbox vibration signals with added −2 dB Gaussian white noise further confirm that the method yields the lowest residual variance ratio and highest signal energy ratio while preserving key fault characteristic frequencies.
Share and Cite
MDPI and ACS Style
Cui, Y.; He, X.; Wu, Z.; Zhang, Q.; Cao, Y.
Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding. Sensors 2026, 26, 750.
https://doi.org/10.3390/s26020750
AMA Style
Cui Y, He X, Wu Z, Zhang Q, Cao Y.
Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding. Sensors. 2026; 26(2):750.
https://doi.org/10.3390/s26020750
Chicago/Turabian Style
Cui, Yanping, Xiaoxu He, Zhe Wu, Qiang Zhang, and Yachao Cao.
2026. "Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding" Sensors 26, no. 2: 750.
https://doi.org/10.3390/s26020750
APA Style
Cui, Y., He, X., Wu, Z., Zhang, Q., & Cao, Y.
(2026). Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding. Sensors, 26(2), 750.
https://doi.org/10.3390/s26020750
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