Abstract: According to VMD(Variational Mode Decomposition) in processing the signal, the selection of mode number K and parameter α will affect the signal decomposition results, an optimized VMD(Variational Mode Decomposition) algorithm improving PSO(Particle Swarm Optimization) (PSO-VMD) was proposed. Based on the analysis of signal, high frequency noise is reconstructed by singular value denoising. Experiments on simulation signal and pipeline leakage signal, by selecting multiple K and combined with proposed the correlation method to select mode and reconstruct signal, compare SNR ( Signal to Noise Ratio ), correlation CC (Coefficient), SAE(Square Absolute Error), MSE(Mean Square Error) of reconstructed signal of different K and original signal, proved the reliability of optimizing VMD by improved PSO. The proposed method is compared with PSO-VMD combined with HD-SVD(Haussteff Distance and Singular Value), MI-SVD(Mutual Information and Singular Values), CC-WT(Correlation Coefficient and Wavelet Transform) and other methods.The proposed denoising method has the best effect.

Key words: VMD algorithm, particle swarm optimization, correlation coefficient, singular value, denoising