1. College of Geo-exploration Science and Technology, Jilin University, Changchun 130026, China;
2. Geological Survey of North China, Baoding 071051, Hebei, China

Seismic signal denoising can effectively improve the signal-to-noise ratio and the resolution of the signal. The second-generation wavelet transform can denoise signal in different scales and resolutions and realize local analysis in which the window width can be adjusted adaptively. However, in the process of denoising, wavelet threshold method exhibits pseudo gibbs effect for discontinuous signal. This problem can be solved by the translation invariant threshold denoising method via translation-denoising-average. Therefore, based on the existing results on the second-generation wavelet transform and threshold denoising, translation invariant will be applied to the second-generation wavelet transform to denoise signal fast and effectively, and achieve good denoising result in the simulated data trial and real data trial.