Linear sampling method for time-lapse qualitative through-the-wall imaging

The development of effective diagnostic tools for fast and non-invasive through-the-wall imaging (TWI) is an important topic, also motivated by the increasing public concern on security issues. In this framework, the main challenges are the detection of targets located on the other side of a wall and the monitoring of their motion. To pursue these aims, we propose an imaging strategy based on the Linear Sampling Method (LSM), a computationally effective tool to determine the targets' morphology from multiview, multistatic and monochromatic data. In particular, by relying on the physical interpretation of LSM, we give its formulation for TWI and propose its use for motion tracking purposes by means of a simple post-processing strategy. A numerical example is given to assess the performances of the approach.