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In this paper, the motion compensation of spotlight mode SAR data processing is studied with Polar Format Algorithm (PFA). A new approach for motion error estimation and compensation in azimuth wavenumber domain is proposed. The framework applies range matched filtering and azimuth dechirp processing to obtain the two dimensional wavenumber data support. First, range compression via fast Fourier transform and PFA interpolation to transform the polar coordinate support to rectangular one is performed. Then the error phase is estimated and compensated in sub-apertures respectively. This framework can both compensate the second or high order motion error accurately, and solve the spatial-variant errors. Compared with the traditional time domain motion compensation, the proposal can achieve better performance for focusing synthetic aperture radar imagery. Experiment? with real data is done to …