A quantitative investigation of through the wall imaging

It is important to know which parts of an inspection domain could be suitably reconstructed in through the wall imaging (TWI). It is also of interest to find a frequency range for which a reconstruction algorithm is efficient. For these purposes, a quantitative investigation of the coverage area and frequency bandwidth of the imaging setup is introduced. The imaging process is based on the linear sampling (LSM) as a well-known qualitative method in the literature. The method is very effectual since it is fast and robust against noise. We need the background Green's function for the realization of LSM which is derived recently by the authors. The frequency bandwidth of the imaging algorithm would be obtained by calculation of a resemblance coefficient (RC) for the various frequencies. Here we also define a new parameter named coverage area (CA) and discuss a scenario to find it. It would be confirmed by several examples that CA can properly describe the effect of the the wall surface corrugation, thickness and material and scan line length on the coverage area of the imaging setup.