Compressive Sensing for Inverse Problems

This work is devoted to the presentation of the recent advances of Compressive Sensing (CS) as applied to inverse scattering problems. A review of the theoretical fundamentals of CS and of the state-of-the-art methodologies is presented. Moreover, the main issues concerning inverse scattering problems are discussed in order to comply with the CS paradigm assumptions. Two representative numerical results, considering both bi-dimensional and tri-dimensional problems, are reported showing the effectiveness of CS based techniques.