Abstract: In order to distinguish the effective component and noise component after VMD(Variational Mode Decomposition), and improve the denoising effect of VMD. A denoising algorithm (VMD-HD-VMD) combining VMD and HD(Hausdorff Distance) is proposed. Firstly, the original signal is decomposed into K IMF(Intrinsic Mode Functions) by VMD, the HD value of the probability density function of IMF component is calculated respectively, and the effective component and noise component are distinguished according to the HD value. Then the noise component is decomposed by VMD again, the effective component is selected by correlation coefficient, and reconstructed with the effective component decomposed for the first time. This method is applied to the denoising of pipeline leakage signal. The simulation experiment and pipeline leakage signal processing show that this method has better effect than EEMD(Ensemble Empirical Mode Decomposition), VMD and VMD combined wavelet denoising.

Key words: variational mode decomposition(VMD), hausdorff distance(HD), pipeline leak, denoising