On sparsity-enforced microwave inverse scattering

Hidayet Zaimaga (1) , Andrea Massa (2, 1) , Marc Lambert (3)

1 L2S - Laboratoire des signaux et systèmes
2 UNITN - Università degli Studi di Trento = University of Trento
3 GeePs - Laboratoire Génie électrique et électronique de Paris

A sparse nonlinear inverse scattering problem arising in microwave imaging is analyzed and numerically solved for reconstructing dielectric contrast of region of interest from measured fields. The proposed approach is motivated by a Tikhonov functional incorporating a sparsity promoting l1- penalty term. The proposed iterative algorithm of soft shrinkage type enforces the sparsity constraint at each nonlinear iteration in reconstructing dielectric profiles.

Mots clés: inverse problems; microwave imaging; sparsity

Domaines: Electromagnétisme; Physique mathématique [math-ph]; Traitement du signal et de l'image [eess.SP]

Hidayet Zaimaga, Andrea Massa, Marc Lambert. On sparsity-enforced microwave inverse scattering. Assemblée générale “Interférences d’Ondes” GDR ONDES 2015, Oct 2015, Lyon, France. ⟨hal-01265732⟩