Robust wavelet denoising

Citation
S. Sardy et al., Robust wavelet denoising, IEEE SIGNAL, 49(6), 2001, pp. 1146-1152
Citations number
18
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN journal
1053-587X → ACNP
Volume
49
Issue
6
Year of publication
2001
Pages
1146 - 1152
Database
ISI
SICI code
1053-587X(200106)49:6<1146:RWD>2.0.ZU;2-2
Abstract
For extracting a signal from noisy data, waveshrink and basis pursuit are p owerful tools both from an empirical and asymptotic point of view. They are especially efficient at estimating spatially inhomogeneous signals when th e noise is Gaussian, Their performance is altered when the noise has a long tail distribution, for instance, when outliers are present. We propose a robust wavelet-based estimator using a robust loss function. T his entails solving a nontrivial optimization problem and appropriately cho osing the smoothing and robustness parameters, We illustrate the advantage of the robust wavelet denoising procedure on simulated and real data.