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Selection of regularization parameter in sparse inverse problems for DOA estimation

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Published under licence by IOP Publishing Ltd
, , Citation Alice Delmer et al 2020 J. Phys.: Conf. Ser. 1476 012001 DOI 10.1088/1742-6596/1476/1/012001

1742-6596/1476/1/012001

Abstract

This article deals with the selection of the regularization parameter of a sparse 0 regularized criterion for DOA (Direction-of-Arrival) estimation. This parameter is generally empirically obtained. In this paper, we establish a theoretical range for this parameter allowing a correct estimation for a single observation. Considering that an observation is the eigenvector associated with the maximum eigenvalue of the covariance matrix, we extend the analysis to multiple observations. Numerical results support our theoretical investigations.

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10.1088/1742-6596/1476/1/012001