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We introduce from first principles a synthetic aperture radar (SAR) imaging and target motion estimation method that is combined with compensation for radar platform trajectory perturbations. The main steps of the method are (a) segmentation of the data into properly calibrated small apertures, (b) motion or platform trajectory perturbation estimation using the Wigner transform and the ambiguity function of the data, in a complementary way, (c) combination of small aperture estimates anddoi:10.1088/0266-5611/28/4/045006 fatcat:qpt6acsfjneuxaexbrohd4ul6i