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|Title:||Direction-of-arrival estimation through exact continuous ℓ2,0-norm relaxation|
Romano, Joao M. T.
|Abstract:||On-grid based direction-of-arrival (DOA) estimation methods rely on the resolution of a difficult group-sparse optimization problem that involves the ℓ 2,0 pseudo-norm. In this work, we show that an exact relaxation of this problem can be obtained by replacing the ℓ 2,0 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 ℓ 2,0 -regularized criteria. We then show on numerical simulations that the minimization of the proposed relaxation with an iteratively reweighted ℓ 2,0 algorithm leads to an improved performance over traditional approaches|
|Editor:||Institute of Electrical and Electronics Engineers|
|Appears in Collections:||FEEC - Artigos e Outros Documentos|
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