Abstract:It is not currently known if it is possible to accurately form a synthetic aperture radar image from N data points in provable near-linear complexity, where accuracy is defined as the 2 error between the full O(N 2 ) backprojection image and the approximate image. To bridge this gap, we present a backprojection algorithm with complexity O(log(1/ )N log N), with the tunable pixelwise accuracy. It is based on the butterfly scheme, which works for vastly more general oscillatory integrals than the discrete Fourie… Show more
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