Azimuth fractional transformation of the fractional chirp scaling algorithm (FrCSA)

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Amein, A. and Soraghan, J.J. (2006) Azimuth fractional transformation of the fractional chirp scaling algorithm (FrCSA). IEEE Transactions on Geoscience and Remote Sensing, 44 (10). pp. 2871-2879. ISSN 0196-2892 (http://dx.doi.org/10.1109/TGRS.2006.877757)

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Abstract

The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.

ORCID iDs

Amein, A. and Soraghan, J.J. ORCID logoORCID: https://orcid.org/0000-0003-4418-7391;
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