  We introduce the Fast Holographic Deconvolution method for analyzing
interferometric radio data. Our new method is an extension of
A-projection/software-holography/forward modeling analysis techniques and
shares their precision deconvolution and widefield polarimetry, while being
significantly faster than current implementations that use full
direction-dependent antenna gains. Using data from the MWA 32 antenna
prototype, we demonstrate the effectiveness and precision of our new algorithm.
Fast Holographic Deconvolution may be particularly important for upcoming 21 cm
cosmology observations of the Epoch of Reionization and Dark Energy where
foreground subtraction is intimately related to the precision of the data
reduction.
