Multiwavelets and EP denoising

Timothy L. Berkopec; Joseph D. Lakey; M. Cristina Pereyra; N Tymes

doi:10.1117/12.449709

5 December 2001 Multiwavelets and EP denoising

Timothy L. Berkopec, Joseph D. Lakey, M. Cristina Pereyra, N Tymes

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449709
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Timothy L. Berkopec, Joseph D. Lakey, M. Cristina Pereyra, and N Tymes "Multiwavelets and EP denoising", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449709

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