Multiwavelets and EP denoising
Timothy L. Berkopec, Joseph D. Lakey, María Cristina Pereyra, Nathaniel Tymes · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2001
In this paper we report on the performance of Lemarie uniwavelets and biwavelets for solving the ill-posed inverse problem of recovering the derivative of a noisy signal. The noise under consideration can be white gaussian or other noises like Tukey noise. The denoising procedures utilized are wavelet and biwavelet Efromovich-Pinsker (EP) estimators, which have been shown to be universal for both estimating the function and its derivative.