Arbitrary synthetic aperture motion compensation based on Fast Back Projection

Back Projection imaging algorithm, whose low efficiency reduces its applications in practical projects, could work with highly nonuniform apertures. According to this reason, many scholars have presented some Fast Back Projection algorithms based on sub-aperture method. But how to compensate the motion error after sub-aperture dividing is awaited for further studying. The motion compensation method for FBP algorithm at different motion error levels is studied in this paper. Three situations denoting different motion error levels, which are only non-uniform in azimuth aperture, tracks of two-dimensional motion error and highly nonlinear even curvilinear flight tracks, are discussed here. Then it comes to a fast back projection imaging algorithm for arbitrary aperture, and this algorithm needs highly precise position information. Finally, an outside experiment is made to prove the algorithm's availability.