The present invention relates to a ground-penetrating
radar signal denoising method that combines two-dimensional VMD with DT-CWT. The method first performs one-dimensional VMD on the original two-dimensional ground-penetrating
radar noisy data in the time dimension, removes the intrinsic
modal components corresponding to the
noise according to corresponding judgment criteria, and then reconstructs the data. The reconstructed data is then subjected to one-dimensional VMD in the spatial dimension, and the intrinsic
modal components corresponding to the
noise are removed and then reconstructed. The reconstructed data after the two-dimensional VMD denoising process is subjected to a discrete dual-tree
complex wavelet transform, and a corresponding threshold formula is selected for threshold denoising. The data is then reconstructed by inverse dual-tree
complex wavelet transform to obtain the denoised data. This method takes into account the
noise distribution of the data in the spatial dimension, performs two-dimensional VMD denoising on the original
noisy data, and effectively improves the
data signal-to-noise ratio. At the same time, to further improve the
data signal-to-noise ratio, a dual-tree
complex wavelet transform that can achieve precise reconstruction is used to perform secondary denoising on the data.