Superesolution and superfast receivers in free-space radar imaging

Recent formulations of radar imaging considering arbitrary distribution apertures tackles the problem as a continuous mapping from waveform to measurements, which can be inverted or estimated via a general least-squares operators. We approach the radar imaging problem as a tensorial estimation in case of focused beams. As a result, refinement to the free-space scenario subject to sampling leads to a 4-level block Toeplitz convolution model that is separable into a 3-D and a 1-D model. This allows the implementation of a superfast matrix receiver in three dimensions for the entire image reconstruction in one shot. These powerful connections have significant impact in all radar-based applications requiring sub-millimeter resolution, which further call for efficient receivers in order to cope with the often massive amount of data involved.