Abstract
We consider the interpolation problem associated with the back-projection (BP), fast BP (FBP), and fast factorized BP (FFBP) algorithms exploited in synthetic aperture radar (SAR). The 2-D interpolation required by FBP and FFBP must be properly performed to mitigate the effect of the truncation error and to achieve accurate results, and can be effectively performed by adopting 2-D nonuniform fast Fourier transform (NUFFT) routines.
Highlights
T HE back-projection (BP) algorithm is often used in synthetic aperture radar (SAR) since it does not involve approximations of the Green’s function and is not limited to rectilinear trajectories [1]–[5]
fast factorized BP (FFBP) requires the calculation of partial images associated with the lowest-level subapertures which can be obtained by a BP scheme on a polar grid (PG)
DEVELOPMENTS We have shown how proper 2-D interpolations in fast BP (FBP) and FFBP can be effectively performed by adopting 2-D nonuniform fast Fourier transform (NUFFT) routines, mitigating the effect of the truncation error
Summary
T HE back-projection (BP) algorithm is often used in synthetic aperture radar (SAR) since it does not involve approximations of the Green’s function and is not limited to rectilinear trajectories [1]–[5]. Alternatives have been proposed to reduce its computational burden by sacrificing image quality in favor of computational complexity. They are based on a partitioning [8] or on a hierarchical partitioning of the aperture [9] according to the divide et impera strategy. In FBP and FFBP, the aperture partitionings lead to the calculation of partial images which can be performed as in the BP. Such partial images require 2-D interpolation stages [13] to combine them into common computational grids.
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