COMPRESSED SENSING FOR RADIO INTERFEROMETRIC IMAGING: REVIEW AND FUTURE DIRECTION

Radio interferometry is a powerful technique for astronomi-cal imaging. The theory of compressed sensing (CS) has been applied recently to the ill-posed inverse problem of recover-ing images from the measurements taken by radio interfero-metric telescopes. We review novel CS radio interferometric imaging techniques, both at the level of acquisition and re-construction, and discuss their superior performance relative to traditional approaches. In order to remain as close to the theory of CS as possible, these techniques necessarily con-sider idealised interferometric configurations. To realise the enhancement in quality provided by these novel techniques on real radio interferometric observations, their extension to realistic interferometric configurations is now of considerable importance. We also chart the future direction of research re-quired to achieve this goal. Index Terms — Compressed sensing, sparsity, radio interferometry, interferometric imagin