@techreport{elediasc12896, type = {Technical Report}, title = {Collecting Scattering Data for Microwave Imaging by means of the Compressive Sensing Technique}, month = {September}, author = {Giacomo OLIVERI and Nicola ANSELMI and Marco SALUCCI and Lorenzo POLI and Andrea MASSA}, year = {2024}, publisher = {ELEDIA Research Center - University of Trento}, abstract = {This study explores the design of data acquisition systems for microwave imaging, focusing on minimizing the Restricted Isometry Constant (RIC) bound of the observation matrix, which models the acquisition system. Initially, the collection of scattering data is framed within the context of Compressive Sampling (CS), an approach that reduces the number of required samples by exploiting signal sparsity. A novel incoherence-based RIC bound is introduced, incorporating the physical attributes of the microwave imaging system. Several numerical experiments are conducted to assess the method?s performance in data acquisition and its influence on CS-based inversion, compared to conventional Nyquist?Shannon sampling techniques.}, url = {http://www.eledia.org/students-reports/896/}, keywords = {Compressive Sensing, Inverse Scattering, Inverse Scattering (Free-space)} }