BSAR ambiguity function analysis and design in K-space using curvature and torsion

Bistatic synthetic aperture radar (BSAR) is a developing remote sensing technology under active research. Compared to monostatic SAR, BSAR has greater capabilities at the cost of greater geometric complexity. The imaging performance of a BSAR scenario is completely described by the point spread function (PSF) and the associated ambiguity function X. Fourier analysis of the PSF results in an energy distribution along a path in k-space, best described using the differential geometric metrics of curvature, torsion and a parameterization function. Curvature and torsion are also used to classify the different BSAR geometries. The PSF for a given geometry can be manipulated using carrier frequency modulation and aperture weighting such that it is equivalent to the PSF from a different geometry.