Direction-of-Arrival Estimation through Exact Continuous l20-Norm Relaxation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Signal Processing Letters Année : 2021

Direction-of-Arrival Estimation through Exact Continuous l20-Norm Relaxation

Résumé

On-grid based direction-of-arrival (DOA) estimation methods rely on the resolution of a difficult group-sparse optimization problem that involves the l20 pseudo-norm. In this work, we show that an exact relaxation of this problem can be obtained by replacing the l20 term with a group minimax concave penalty with suitable parameters. This relaxation is more amenable to non-convex optimization algorithms as it is continuous and admits less local (not global) minimizers than the initial l20-regularized criteria. We then show on numerical simulations that the minimization of the proposed relaxation with an iteratively reweighted l21 algorithm leads to an improved performance over traditional approaches.
Fichier principal
Vignette du fichier
SPL-DOA_Soubies.pdf (503.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03047201 , version 1 (08-12-2020)

Identifiants

Citer

Emmanuel Soubies, Adilson Chinatto, Pascal Larzabal, João M T Romano, Laure Blanc-Féraud. Direction-of-Arrival Estimation through Exact Continuous l20-Norm Relaxation. IEEE Signal Processing Letters, 2021, 28, pp.16-20. ⟨10.1109/LSP.2020.3042771⟩. ⟨hal-03047201⟩
297 Consultations
338 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More