Equivalence of Single-Frequency Radar Imaging Algorithms

We perform mathematical analysis of two single-frequency synthetic aperture radar SAR imaging techniques from the open literature. In one approach, developed by Borden and Cheney, the radar signal is first transformed to a two-dimensional Doppler-time distribution via a short time Fourier-transform, and then matched filtering operations are applied to focus the transformed data. In the second approach, developed by Garry et al, the data are focused by applying a single-frequency matched filter directly to the time-domain data. Our analysis shows that the two techniques are equivalent, under the assumption that the effects of the amplitude of the matched filter are minimal.