Detection threshold for non-parametric estimation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Signal, Image and Video Processing Année : 2008

Detection threshold for non-parametric estimation

Résumé

A new threshold is presented for better estimating a signal by sparse transform and soft thresholding. This threshold derives from a non-parametric statistical approach dedicated to the detection of a signal with unknown distribution and unknown probability of presence in independent and additive white Gaussian noise. This threshold is called the detection threshold and is particularly appropriate for selecting the few observations, provided by the sparse transform, whose amplitudes are sufficiently large to consider that they contain information about the signal. An upper bound for the risk of the soft thresholding estimation is computed when the detection threshold is used. For a wide class of signals, it is shown that, when the number of observations is large, this upper bound is from about twice to four times smaller than the standard upper bounds given for the universal and the minimax thresholds. Many real-world signals belong to this class, as illustrated by several experimental results.
Fichier principal
Vignette du fichier
SIVP1098Corrected.pdf (1.84 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00732333 , version 1 (14-09-2012)

Identifiants

Citer

Abdourrahmane Atto, Dominique Pastor, Grégoire Mercier. Detection threshold for non-parametric estimation. Signal, Image and Video Processing, 2008, 2 (3), pp.207-223. ⟨10.1007/s11760-008-0051-x⟩. ⟨hal-00732333⟩
135 Consultations
198 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More