Wavelet methods for ground penetrating radar imaging

Authors:
Fengshan Liu;Yi Ling;Xianggen Xia;Xiquan Shi
Affiliations:
Applied Mathematics Research Center, Department of Mathematics, Delaware State University, Dover, DE;Applied Mathematics Research Center, Department of Mathematics, Delaware State University, Dover, DE;Department of Electrical and Computer Engineering, University of Delaware, Newark, DE;Applied Mathematics Research Center, Department of Mathematics, Delaware State University, Dover, DE
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

A new algorithm for fixed-offset Ground Penetrating Radar imaging is derived. The forward model of this inversion scheme is based on the Born approximation and the dyadic Green function for a two-layer medium. The forward model is inverted using the Wavelet Galerkin Algorithms for solving integral equations. We use the Laplacian operator to regularize the ill-posedness of the inverse problem. Numerical results are provided to illustrate performance of the inversion scheme.