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Revisiting the denoising problem in the context of elliptical distributions

Steeve Zozor 1 Christophe Vignat 2
1 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique
GIPSA-DIS - Département Images et Signal, GIPSA-PSD - GIPSA Pôle Sciences des Données
Abstract : In this paper, we revisit the denoising problem in the context of elliptical distributions; this approach extends a work by Alecu et al. in two directions: (i) we address the multivariate case and (ii) our study is not restricted to the scale mixtures of Gaussians, but extends to the whole family of elliptical distributions. We consider the framework where both the vector to be estimated and the additive independent corrupting noise are elliptically distributed. The MMSE and Wiener filters are computed and their performances are compared in terms of the value of the SNR in several illustrations.
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https://hal.archives-ouvertes.fr/hal-00282969
Contributor : Steeve Zozor <>
Submitted on : Wednesday, May 28, 2008 - 5:07:36 PM
Last modification on : Wednesday, May 13, 2020 - 4:30:04 PM

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  • HAL Id : hal-00282969, version 1

Citation

Steeve Zozor, Christophe Vignat. Revisiting the denoising problem in the context of elliptical distributions. 16th European Signal Processing Conference (EUSIPCO-2008), Aug 2008, Lausanne, Switzerland. pp.cd rom. ⟨hal-00282969⟩

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