Three-Dimensional Through-Wall Imaging Under Ambiguous Wall Parameters

A through-wall imaging problem for a 3-D geometry
is considered. Scatterers are located beyond a wall represented by
a dielectric slab whose features are unknown or known with some
degree of uncertainty. A two-step imaging procedure is presented.
First, the thickness and the dielectric permittivity of the wall are
estimated by a simple procedure which takes into account that
actual measurements concern the total scattered field (i.e., the
field reflected by the wall plus the one scattered by the obscured
scatterers). Then, the problem is cast as a linear inverse scattering
problem and solved by means of a truncated-singular value
decomposition algorithm. In particular, a 2-D sliced approach is
employed to obtain the 3-D scene. Numerical examples are shown
to assess the effectiveness of the reconstruction procedure.