Direct Wide-Field Radio Imaging in Real-Time at High Time Resolution using Antenna Electric Fields

TL;DR

This paper introduces a flexible, efficient direct Fourier Transform-based method for wide-field, high-resolution radio imaging that corrects for wide-field effects and non-coplanarity, demonstrated with real data from the LWA.

Contribution

It presents a novel DFT-based direct imaging strategy that improves correction for wide-field effects and offers enhanced flexibility over previous methods.

Findings

Comparable computational performance to existing techniques

Effective correction for wide-field and non-coplanarity effects

Applicable to sparse arrays and customizable sky imaging

Abstract

The recent demonstration of a real-time direct imaging radio interferometry correlator represents a new capability in radio astronomy. However wide field imaging with this method is challenging since wide-field effects and array non-coplanarity degrade image quality if not compensated for. Here we present an alternative direct imaging correlation strategy using a Direct Fourier Transform (DFT), modelled as a linear operator facilitating a matrix multiplication between the DFT matrix and a vector of the electric fields from each antenna. This offers perfect correction for wide field and non-coplanarity effects. When implemented with data from the Long Wavelength Array (LWA), it offers comparable computational performance to previously demonstrated direct imaging techniques, despite having a theoretically higher floating point cost. It also has additional benefits, such as imaging sparse arrays and control over which sky co-ordinates are imaged, allowing variable pixel placement across an image. It is in practice a highly flexible and efficient method of direct radio imaging when implemented on suitable arrays. A functioning Electric Field Direct imaging architecture using the DFT is presented, alongside an exploration of techniques for wide-field imaging similar to those in visibility based imaging, and an explanation of why they do not fit well to imaging directly with the digitized electric field data. The DFT imaging method is demonstrated on real data from the LWA telescope, alongside a detailed performance analysis, as well as an exploration of its applicability to other arrays.