Sparsity-Enforced Microwave Inverse Scattering using Soft Shrinkage Thresholding

Hidayet Zaimaga 1 Marc Lambert 2
1 L2S - Laboratoire des signaux et systèmes
2 GeePs - Laboratoire Génie électrique et électronique de Paris
Abstract : A sparse nonlinear inverse scattering problem arising in microwave imaging is analyzed and numerically solved for retrieving dielectric contrast of region of interest from measured fields. The proposed approach 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 and provides an effective reconstructions of unknown (complex) dielectric profiles. The scheme produces sharp and good reconstruction of dielectric profiles in sparse domains and keeps its convergence during the reconstruction. Numerical results present the effectiveness and accuracy of the proposed method by imposing positivity and smoothness constraints.
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Conference papers
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01367566
Contributor : Marc Lambert <>
Submitted on : Friday, September 16, 2016 - 1:31:56 PM
Last modification on : Thursday, March 21, 2019 - 1:04:19 PM

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Hidayet Zaimaga, Marc Lambert. Sparsity-Enforced Microwave Inverse Scattering using Soft Shrinkage Thresholding. 24th European Signal Processing Conference (EUSIPCO), Aug 2016, Budapest, Hungary. pp.350-354, ⟨10.1109/eusipco.2016.7760268 ⟩. ⟨hal-01367566⟩

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