Research on Signal Denoising Method Based on Adaptive Lifting Wavelet Transform

In this paper, the adaptive lifting wavelet theory and its application in signal denoising are analyzed, and a signal processing method combining lifting wavelet transform and threshold denoising method is proposed. The lifting wavelet domain denoising method with different threshold functions is simulated by Matlab software. At the same time, the SNR and RMSE indicators are used to evaluate the effect of wavelet domain denoising. The simulation results show that the adaptive lifting wavelet combined with the semi-soft threshold denoising method preserves the advantages of the hard threshold and soft threshold methods in signal processing, and improves the signal-to-noise ratio while reducing the root mean square error, has a certain advantages in signal noise reduction processing.