Abstract: It is difficult to select the preset scale K for VMD(Variational Mode Decomposition) and to distinguish the effective mode from the noise mode after decomposition. In order to solve the problem, a joint criterion method (VMD-HD-KT) is proposed to determine the presetscale K by HD(Hausdorff Distance) and the effective mode by Kendall correlation coefficient KT(Kendall ’s Tau). And it is used to denoise the leakage signal of natural gas pipeline. First, the HD of the last mode and the original signal when K = 2 to 8 is calculated, K is determined by evaluating HD, and then K value is input for VMD decomposition. The original signal is decomposed into K IMF(Intrinsic Mode Functions) with different characteristic time scales. IMF with KKT greater than 0. 1 is selected as the effective mode for signal reconstruction. The experimental results show that the VMD- HD-KT algorithm can accurately select the preset scale K and effective modes, and has a good denoising effect on the simulation signals and pipeline leakage signals. 

Key words: variational mode decomposition(VMD); hausdorff distance(HD)')">

variational mode decomposition(VMD); hausdorff distance(HD), kendall correlation coefficient, the signal denoising