1Adaptive Wavelet Transforms with Application in Signal Denoising

Abstract—This papers gives an overview of wavelet transforms application to signal denoising problem. Wavelets perform well for this application and have been used before with great success. To further improve the transform efficiency adaptivity is introduced to traditional wavelet transforms. The lifting framework as a method to construct wavelets facilitates the effort to develop efficient adaptation algorithms. The most important papers that cover the topic of adaptive wavelet transforms in signal denoising are presented in brief and also the successful non-wavelet domain method for signal denoising using the intersection of confidence intervals method is described. Index Terms—wavelets, adaptive lifting scheme, denois-ing, ICI I