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Journal Articles IEEE Signal Processing Letters Year : 2021

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

Abstract

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.
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Dates and versions

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

Identifiers

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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⟩
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