Soft Shrinkage Thresholding Algorithm for Nonlinear Microwave Imaging

Abstract : In this paper, we analyze a sparse nonlinear inverse scattering problem arising in microwave imaging and numerically solved it for retrieving dielectric contrast from measured fields. In sparsity reconstruction, contrast profiles are a priori assumed to be sparse with respect to a certain base. We proposed an approach which is motivated by a Tikhonov functional incorporating a sparsity promoting l 1-penalty term. The proposed iterative algorithm of soft shrinkage type enforces the sparsity constraint at each nonlinear iteration. The scheme produces sharp and good reconstruction of dielectric profiles in sparse domains by adapting Barzilai and Borwein (BB) step size selection criteria and positivity by maintaining its convergence during the reconstruction.
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Article dans une revue
Journal of Physics: Conference Series, IOP Publishing, 2016, 756 (1), pp.012011. 〈http://stacks.iop.org/1742-6596/756/i=1/a=012011〉. 〈10.1088/1742-6596/756/1/012011〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01390779
Contributeur : Marc Lambert <>
Soumis le : mercredi 2 novembre 2016 - 14:26:04
Dernière modification le : vendredi 19 janvier 2018 - 13:44:01

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Hidayet Zaimaga, Marc Lambert. Soft Shrinkage Thresholding Algorithm for Nonlinear Microwave Imaging. Journal of Physics: Conference Series, IOP Publishing, 2016, 756 (1), pp.012011. 〈http://stacks.iop.org/1742-6596/756/i=1/a=012011〉. 〈10.1088/1742-6596/756/1/012011〉. 〈hal-01390779〉

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