关键词: 变分模态分解 , 变点理论 , 广义形态滤波 , 降噪

Abstract: Aiming at the characteristic that it is difficult to accurately extract useful signals when the signal is interfered by strong noise while there is a leaking at the natural gas pipeline, an effective signal denoising method combining variational modal decomposition and generalized morphological filtering is proposed. Firstly by using VMD (Variational Mode Decomposition) several modal component is decomposed. Then the mean absolute value for autocorrelations function of the model component is calculated. Using SCT (Statistical Change-point) modal and effective modal noise are distinguished. And reconstruction after effective modal component as the denoising signal. Finally, the GMF (Generalized Morphological Filtering) is used to give further filtering to the denoising signal. The experimental results show that compared with the method based on Hausdorff distance VMD, VMD combined with correlation number and wavelet, and VMD based on mutual information, the proposed method has better denoising effect.

Key words:  , variational mode decomposition (VMD), statistical change-point theory, generalized morphological filtering, de-noising