噪声与振动控制 ›› 2026, Vol. 46 ›› Issue (4): 142-148.

• 信号处理与故障诊断 • 上一篇    下一篇

EEMD与改进小波阈值联合的齿轮声发射信号降噪

魏娜莎1,丁泽鹏1,张瑞亮2,刘江锋1,田志毅1   

  1. 1. 太原科技大学
    2. 太原理工大学
  • 收稿日期:2025-03-10 修回日期:2025-05-01 出版日期:2026-08-18 发布日期:2026-08-13
  • 通讯作者: 丁泽鹏

Gear Acoustic Emission Signal Denoising via EEMD-Improved Wavelet Thresholding

  • Received:2025-03-10 Revised:2025-05-01 Online:2026-08-18 Published:2026-08-13

摘要: 针对齿轮运行的声发射信号,提出了一种将集合经验模态分解(Ensemble Empirical Modal Decomposition, EEMD)与改进小波阈值相结合的降噪方法。首先,基于Sigmoid函数平滑、易于求导的特点,改进了传统的小波阈值函数。其次,构建仿真加噪信号进行EEMD分解,得到一系列本征模函数(Intrinsic Mode Function, IMF)分量,计算各IMF分量的相关性系数并重构信号。最后,采用河马优化(Hippopotamus Optimizatio, HO)算法在改进小波阈值函数中寻找最佳调整参数α,使用改进小波阈值降噪得到最终的去噪信号,以信噪比(Signal-to-Noise Ratio, SNR),均方误差(Mean Squared Error, MSE)和余弦相似度(Cosine Similarity,Cos)为评价标准,仿真结果显示,所提方法与传统降噪方法相比,显著提高了信噪比。在此基础上,用齿轮试验所采集的声发射信号进行验证,试验结果表明:该方法相比于传统的降噪方法有着较好的降噪效果,有着更好的实用价值。

关键词: 声发射, 集合经验模态分解, 小波阈值函数, Sigmoid函数, 河马优化算法

Abstract: A denoising method combining Ensemble Empirical Modal Decomposition (EEMD) with an improved wavelet thresholding technique is proposed for acoustic emission signals from gear operation. Firstly, the traditional wavelet thresholding function is improved based on the characteristics of the Sigmoid function, which is smooth and easy to differentiate. Secondly, a simulated noisy signal is constructed and decomposed using EEMD to obtain a series of Intrinsic Mode Function (IMF) components. The correlation coefficients of each IMF component are calculated, and the signal is reconstructed accordingly. Finally, the Hippopotamus Optimization (HO) algorithm is employed to find the optimal adjustment parameter α in the improved wavelet thresholding function. The final denoised signal is obtained using the improved wavelet thresholding denoising method. The evaluation criteria used are Signal-to-Noise Ratio (SNR), Mean Squared Error (MSE), and Cosine Similarity (Cos). Simulation results demonstrate that the proposed method significantly improves the SNR compared to traditional denoising methods. Furthermore, the proposed method is validated using acoustic emission signals collected from gear tests. The experimental results indicate that the method exhibits better denoising performance and practical value compared to traditional denoising approaches.

Key words: acoustic emission, ensemble empirical modal decomposition, wavelet threshold , Sigmoid function, hippopotamus optimization algorithm