Through-the-Wall Imaging by means of a Hybrid Inverse-Scattering Procedure

In this work, an inverse-scattering technique for through-the-wall imaging is presented and validated against experimental data. The inverse-scattering scheme is developed in variable-exponent Lebesgue spaces, where a delay-and-sum beamforming approach is preliminary applied to build the exponent function. Measurements are collected as time-domain data in a laboratory environment, under a multi-illumination and multi-view approach. Processing of the data is performed in the frequency-domain, by application of the Fast Fourier Transform, and extracting the scattered fields at several frequencies in order to improve the reconstruction capabilities. The obtained results confirm the successful imaging of both high- and low-reflectivity targets in the inspected scenario.