Shrinkage-Thresholding Enhanced Born Iterative Method for Solving 2D Inverse Electromagnetic Scattering Problem

被引:33
|
作者
Desmal, Abdulla [1 ]
Bagci, Hakan [1 ,2 ]
机构
[1] KAUST, Div Comp Elect & Math Sci & Engn, Thuwal, Saudi Arabia
[2] KAUST, Ctr Uncertainty Quantificat Computat Sci & Engn, Thuwal, Saudi Arabia
关键词
Born iterative method; iterative shrinkage thresholding algorithms; microwave imaging; regularization;
D O I
10.1109/TAP.2014.2321144
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A numerical framework that incorporates recently developed iterative shrinkage thresholding (IST) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem. IST algorithms minimize a cost function weighted between measurement-data misfit and a zeroth/first-norm penalty term and therefore promote "sharpness" in the solution. Consequently, when applied to domains with sharp variations, discontinuities, or sparse content, the proposed framework is more efficient and accurate than the "classical" BIM that minimizes a cost function with a second-norm penalty term. Indeed, numerical results demonstrate the superiority of the IST-BIM over the classical BIM when they are applied to sparse domains: Permittivity and conductivity profiles recovered using the IST-BIM are sharper and more accurate and converge faster.
引用
收藏
页码:3878 / 3884
页数:8
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