Compressed sensing for radio interferometric imaging: review and future direction

TL;DR

This paper reviews the application of compressed sensing techniques to radio interferometric imaging, highlighting recent advances, their limitations with idealized models, and future research directions for real-world implementation.

Contribution

It provides a comprehensive review of novel CS-based imaging methods in radio interferometry and discusses the challenges of extending these methods to realistic observational setups.

Findings

CS techniques outperform traditional methods in idealized scenarios

Current methods are limited to idealized interferometric configurations

Future work needed for real-world application

Abstract

Radio interferometry is a powerful technique for astronomical imaging. The theory of Compressed Sensing (CS) has been applied recently to the ill-posed inverse problem of recovering images from the measurements taken by radio interferometric telescopes. We review novel CS radio interferometric imaging techniques, both at the level of acquisition and reconstruction, 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 consider 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 required to achieve this goal.