Compressive Sensing as Applied to Antenna Arrays: Synthesis, Diagnosis, and Processing

Compressive sensing (CS) is currently one the most active research field in information engineering and science. The CS features/properties (e.g., its flexibility, robustness, accuracy, and effectiveness) and the strong theoretical background have motivated a great interest in developing and applying CS to many domains including antenna arrays. Indeed, several problems arising in such a framework can be directly formulated or suitably recast for an effective solution within the CS environment. This work is aimed at presenting a review of the current and most recent advances of CS formulations for antenna arrays developed at the ELEDIA research center. Towards this end, a set of representative applicative scenarios are illustrated ranging from the diagnosis and synthesis of antenna arrays up to antenna array processing including the estimation of directions-of-arrival. Current challenges and trends in the application of CS to the solution of traditional and/or innovative antenna array problems are discussed, as well.