Memory-efficient w-projection with the fast Gauss transform

TL;DR

This paper introduces a memory-efficient w-projection method utilizing the fast Gauss transform, with theoretical analysis and simulations indicating potential for high-performance applications like the Square Kilometer Array.

Contribution

It presents a novel approach combining w-projection with the fast Gauss transform, offering a promising foundation for improved radio interferometric imaging algorithms.

Findings

Theoretical performance analysis of the method.

Simulation results demonstrating performance across different w values.

Potential applicability to large-scale radio telescopes like SKA.

Abstract

We describe a method performing w-projection using the fast Gauss transform of Strain (1991). We derive the theoretical performance, and simulate the actual performance for a range of w for a canonical array. While our implementation is dominated by overheads, we argue that this approach could for the basis of a higher-performing algorithms with particular application to the Square Kilometer Array.