Group sparsity penalized contrast source solution method for 2-D non-linear inverse scattering - Archive ouverte HAL Access content directly
Journal Articles IEEE Open Journal of Antennas and Propagation Year : 2022

Group sparsity penalized contrast source solution method for 2-D non-linear inverse scattering

(1) , (1) , (2) , (2)
1
2

Abstract

A group sparsity penalized CSI in the wavelet domain is proposed to alleviate ill-posedness within the framework of a contrast-source inversion (CSI) method. It is then applied to the retrieval of a large inhomogeneous dielectric scatterer from time-harmonic single-frequency data. As dependency exists between wavelet coefficients at different scales, referred to as the parent-child relationship, it enables to yield the wavelet quad tree structure. Therefore, wavelet coefficients can be regarded not only as pixel-wise sparse, but also group-wise sparse. Focus is put on using the dual-tree complex wavelet transform (CWT) to properly achieve the sought-after group-wise sparse representation of the spatial distribution of the contrast. It provides a l2,1 norm which is added to the standard cost functional to enforce group sparsity onto the wavelet coefficients of the spatially-varying contrast. The replication strategy is combined with the proximal method in order to solve the overlapping group penalized problem. Simulations from synthetic data in different configurations with in particular different signal-to-noise ratios illustrate pros and cons of the proposed method. The approach is shown to overcome the standard CSI method in demanding situations. Comparisons with the discrete wavelet transform (DWT) as usually performed and the l1 norm confirm the advantage of the proposed methodology.
Fichier principal
Vignette du fichier
OJAP09638971-Zhang-Lambert-Fraysse-Lesselier.pdf (2.81 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

hal-03406799 , version 1 (07-10-2022)

Identifiers

Cite

Yarui Zhang, Marc Lambert, Aurélia Fraysse, Dominique Lesselier. Group sparsity penalized contrast source solution method for 2-D non-linear inverse scattering. IEEE Open Journal of Antennas and Propagation, 2022, 3, pp.48-58. ⟨10.1109/OJAP.2021.3133450⟩. ⟨hal-03406799⟩
92 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More