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The recent demonstration of a real-time direct imaging radio interferometrycorrelator represents a new capability in radio astronomy. However wide fieldimaging with this method is challenging since wide-field effects and arraynon-coplanarity degrade image quality if not compensated for. Here we presentan alternative direct imaging correlation strategy using a Direct FourierTransform (DFT), modelled as a linear operator facilitating a matrixmultiplication between the DFT matrix and a vector of the electric fields fromeach antenna. This offers perfect correction for wide field and non-coplanarityeffects. When implemented with data from the Long Wavelength Array (LWA), itoffers comparable computational performance to previously demonstrated directimaging techniques, despite having a theoretically higher floating point cost.It also has additional benefits, such as imaging sparse arrays and control overwhich sky co-ordinates are imaged, allowing variable pixel placement across animage. It is in practice a highly flexible and efficient method of direct radioimaging when implemented on suitable arrays. A functioning Electric FieldDirect imaging architecture using the DFT is presented, alongside anexploration of techniques for wide-field imaging similar to those in visibilitybased imaging, and an explanation of why they do not fit well to imagingdirectly with the digitized electric field data. The DFT imaging method isdemonstrated on real data from the LWA telescope, alongside a detailedperformance analysis, as well as an exploration of its applicability to otherarrays.

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