Localisation de sources dispersées : Performances de MUSIC en présence d'erreurs de modèle et estimation parcimonieuse à rang faible.

Abstract : This thesis focuses on the distributed source localization problem. In a first step, performance of high resolution methods in the presence of model errors due to the angular distribution of source has been studied. Theoretical expressions of the estimation bias and the mean square error of the direction of arrival of sources have been established in terms of model error. The impacts of the array geometry on the performances have studied in order to optimize the robustness of the array to the model error due to distributed sources.Theoretical results have been validated by numerical simulations.In a second step, a new approach for the localization of spatially distributed source has been proposed: the approach is based on the sparsity and low-rank property of the spatial covariance matrix of the sources. The proposed method provides also an estimation of the distribution shapes of the sources. Simulation results exhibit the advantages of exploiting the sparsity and the low rank properties.
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Wenmeng Xiong. Localisation de sources dispersées : Performances de MUSIC en présence d'erreurs de modèle et estimation parcimonieuse à rang faible.. Autre. Université Paris-Saclay, 2016. Français. ⟨NNT : 2016SACLC076⟩. ⟨tel-01434153⟩

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