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The general problem is considered of a partially coherent synthetic aperture radar (SAR) imaging a scene that is subjected to random fade. The impulse response, frequency response, and response to extended random fields are formally derived, and the problem is addressed of estimating SAR impulse response from measures of spectra Corresponding to random distributed scenes. Explicit results are obtained using Gaussian functions to describe the SAR, its coherence, and the scene coherence.
R. K. Raney (Sat,) studied this question.