Abstract: Aiming at the problem that the GCC(Generalized Cross-Correlation) time delay estimation method will produce large errors under the condition of low signal-to-noise ratio, a method of time delay estimation based on VMD( Variational Mode Decomposition ) combined with GSCC ( Generalized Second Cross-Correlation ) is proposed. This method first performs variational modal decomposition of the two signals separately, separates the effective mode and the noise mode, uses the HD (Hausdorff Distance) to optimize the mode and reconstructs the signal. Then uses the generalized second cross-correlation to analyze the processed signal and perform delay estimation. Theoretical analysis and simulation experiment results show that compared with the generalized second cross-correlation method, wavelet denoising combined with the generalized second cross-correlation (WT-GSCC: Wavelet-GSCC) method, this method can effectively improve the estimation accuracy and has good anti-noise performance.

Key words: variational modal decomposition, generalized second cross-correlation, hausdorff distance, time delay estimation