Adaptive denoising based on wavelet thresholding method

This paper presented a novel adaptive denoising method based on wavelet thresholding method. At first, it presented a new thresholding function that has a continuous derivative while the derivative of standard thresholding function is not continuous. The new thresholding function makes it possible to construct an adaptive algorithm based on wavelet thresholding. method. Second, by using the new thresholding function, this paper presented an adaptive method based on SURE Risk. At last, several examples' numerical. analyses are given; the results show that the proposed method is very effective in finding the optimal solution in mean square error (MSE) sense. It also indicates that this method gives better MSE performance than other wavelet thresholding methods.