Adaptive Wavelet Thresholding Denoising method Based on SURE Estimation

This paper presents a novel adaptive denoising method based on wavelet shrinkage method.First,we present a new class of thresholding function that has continuous derivative while the derivative of standard soft thresholding function is not continuous.The new thresholding function makes it possible to construct an adaptive algorithm whenever using the wavelet shrinkage method.Second,by using the new thresholding function,we present an adaptive method based on SURE Risk.At last,several numerical examples are given,the result shows that the proposed method is very effective in adaptively finding the optimal solution in mean square error(MSE) sense.It also indicates that this method gives better MSE performance than other wavelet shrinkage methods.