Fast synthetic aperture radar imaging with a streamlined 2D fractional Fourier transform

Matthew Pepin; Majeed M. Hayat

doi:10.1117/12.883862

4 May 2011 Fast synthetic aperture radar imaging with a streamlined 2D fractional Fourier transform

Matthew Pepin, Majeed M. Hayat

Proceedings Volume 8051, Algorithms for Synthetic Aperture Radar Imagery XVIII; 805102 (2011) https://doi.org/10.1117/12.883862
Event: SPIE Defense, Security, and Sensing, 2011, Orlando, Florida, United States

Abstract

The 2-D Fractional Fourier Transform (FRFT) has been shown to be applicable to the Synthetic Aperture Radar (SAR) imaging problem. Streamlined versions presented here makes the 2-D FRFT comparable with and slightly faster than the Range Doppler (RD) and Extended Chirp Scaling (ECS) methods. The 2-D FRFT is streamlined by eliminating redundancy due to the fact that the same fractional angle is applied to each pulse in the SAR phase history's range dimension while one other fractional angle is applied across each range-gate in the phase history's azimuth dimension. Eliminating the redundancy and approximating the 2-D Fractional Fourier Transform operation in each dimension produces several streamlined 2-D FRFT methods as well as a very fast approximate 2-D FRFT. The computational order of the fast approximate 2-D FRFT is less than that of other corrective SAR imaging techniques. Examples of SAR imaging with these streamlined and approximate FRFTs are given as well as a comparison of the computational speed and impulse response of the full, streamlined and approximate 2-D FRFT, and the RD and ECS methods of SAR imaging.

Citation Download Citation

Matthew Pepin and Majeed M. Hayat "Fast synthetic aperture radar imaging with a streamlined 2D fractional Fourier transform", Proc. SPIE 8051, Algorithms for Synthetic Aperture Radar Imagery XVIII, 805102 (4 May 2011); https://doi.org/10.1117/12.883862

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