Translation-invariant wavelet de-noising method with improved thresholding

Wavelet thresholding de-noising method based on discrete wavelet transform (DWT) proposed by Donoho et al. is a standard wavelet de-noising method. At first, this paper proposes an improved thresholding de-noising method based on Donoho´s method. The advantage of the improved de-noising method is that it may not only remain the edge of original signal efficiently, but also suppress impulsive noise to some extent. Furthermore, the traditional wavelet thresholding de-noising method causes Pseudo-Gibbs phenomena in the neighborhood of the singularities due to DWT. In order to suppress Pseudo-Gibbs phenomena, a new de-noising method combining above improved thresholding with the translation-invariant (Tl) wavelet transform is proposed in this paper. The experimental results indicate that the proposed methods in the paper are better than traditional wavelet thresholding de-noising methods.