Detection and characterization of small targets: Compressive sensing approach

We present an approach based on compressive sensing algorithm and random antenna array for small target imaging problems. The inverse problem is nonlinear in principle, whereas we proposed a two-step approach and solved the problem without iteratively evaluating the corresponding forward problem. In numerical simulations, this method is applied to a specific example, and the simulation result shows that the method is able to locate small targets and determine their permittivity information accurately and quickly.