Synthetic Aperture Radar utilizes the motion of the platform on which it is mounted to realize a virtual array antenna. The illumination of a specific patch of ground and the sampling of the radar returns over time and space result in a non-uniform collection space. Motion compensation corrects for certain platform motions, but still may result in a polar collection space with non-uniformly spaced samples. To employ the fast Fourier transform to form an image from this phase history data, the polar raster data must be resampled onto a rectangular grid by means of polar reformatting. However, non- uniformity errors present in the polar grid will propagate to the rectangular grid, and result in SAR image defocusing. This paper describes a technique that may be used to interpolate the non-uniformly collected radar samples to a uniform polar space, thereby improving the efficacy of the polar-to- rectangular resampling process. This work presents new ideas for polar grid design by demonstrating that certain virtual grids are better for interpolation than others. A measure of the relative interpolation error is established. The step-by- step approach of polar grid interpolation is explained.
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