A Through-the-Wall Imaging Approach Based on a TSVD/Variable-Exponent Lebesgue-Space Method

A hybrid inversion scheme for through-the-wall imaging is proposed in this paper. The approach based on a linearized model of the inverse-scattering problem, employing Green’s function developed layered background. reconstruction obtained by means Landweber-like iterative method performing regularization framework variable-exponent Lebesgue spaces. Thanks to non-conventional geometrical properties such spaces, it possible enhance capabilities, e.g., promoting sparseness and reducing over-smoothing. exponent defining specific space adopted procedure adaptively directly from measured data, through truncated-singular value decomposition method. In way, precompute reuse both steps, given scenario, all matrices necessary process, thus leading computationally efficient solving strategy. effectiveness evaluated using experimental data with commercial GPR apparatus pulsed source field. fast Fourier transform applied time-domain measurements extract frequency-domain at set frequencies spectrum, which are fed input scheme. Very good capabilities single metallic target, as well challenging two targets layout including object low-permittivity target.