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Article Dans Une Revue IEEE Signal Processing Letters Année : 2020

Global optimization for recovery of clipped signals corrupted with Poisson-Gaussian noise

Résumé

We study a variational formulation for reconstructing nonlinearly distorted signals corrupted with a Poisson-Gaussian noise. In this situation, the data fidelity term consists of a sum of a weighted least squares term and a logarithmic one. Both of them are precomposed by a nonlinearity, modelling a clipping effect, which is assumed to be rational. A regularization term, being a piecewise rational approximation of the 0 function provides a suitable sparsity measure with respect to a preset linear operator. We propose a global optimization approach for such a problem. More specifically, it is first transformed into a generalized moment problem by introducing some auxiliary variables. Then, a hierarchy of semidefinite programming relaxations is built. Numerical examples show the good performance of the proposed approach.
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Dates et versions

hal-02877910 , version 1 (22-06-2020)

Identifiants

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Arthur Marmin, Anna Jezierska, Marc Castella, Jean-Christophe Pesquet. Global optimization for recovery of clipped signals corrupted with Poisson-Gaussian noise. IEEE Signal Processing Letters, 2020, 27, pp.970-974. ⟨10.1109/lsp.2020.2998699⟩. ⟨hal-02877910⟩
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