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Proposed 21 cm cosmology observatories for studying the epoch of reionization(z ~6-15) and dark energy (z ~0-6) envision compact arrays with tens ofthousands of antenna elements. Fully correlating this many elements iscomputationally expensive using traditional XF or FX correlators, and has ledsome groups to reconsider direct imaging/FFT correlators. In this paper wedevelop a variation of the direct imaging correlator we call the MOFFcorrelator. The MOFF correlator shares the computational advantages of a directimaging correlator, while avoiding a number of its shortcomings. In particularthe MOFF correlator makes no constraints on the antenna arrangement or type,provides a fully calibrated output image including widefield polarimetry andnon-coplanar baseline effects, and can be orders-of-magnitude more efficientthan XF or FX correlators for compact radio cosmology arrays.

Enabling Next Generation Dark Energy and Epoch of Reionization Radio Observatories with the MOFF Correlator