Fractional Chirp Scaling Algorithm: Mathematical Model

In this paper, the new fractional chirp scaling algorithm (FrCSA) is mathematically derived and analyzed from high-resolution SAR imaging point of view. The FrCSA is based on the use of the fractional Fourier transform within the chirp scaling algorithm (CSA). The performance of the FrCSA is compare...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2007-08, Vol.55 (8), p.4162-4172
Main Authors: Amein, A.S., Soraghan, J.J.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Applied sciences
Brain modeling
Chirp
Computer simulation
Exact sciences and technology
Fast Fourier transforms
Focusing
Fourier transforms
fractional Fourier
High resolution
Image analysis
Information, signal and communications theory
Lobes
Mathematical model
Miscellaneous
Radar polarimetry
SAR imaging
Signal processing
Signal to noise ratio
Synthetic aperture radar
Telecommunications and information theory
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Summary:In this paper, the new fractional chirp scaling algorithm (FrCSA) is mathematically derived and analyzed from high-resolution SAR imaging point of view. The FrCSA is based on the use of the fractional Fourier transform within the chirp scaling algorithm (CSA). The performance of the FrCSA is compared to that of the classical CSA that is based on the fast Fourier transform (FFT). Simulation results for airborne SAR systems show that the FrCSA offers enhanced signal-to-noise ratio (SNR), better focusing capabilities, sharpened main lobe with extra power concentration, and greater side-lobe reduction ratio (SLRR) and all of these, without the need for any additional focusing or enhancement techniques that are required in the classical FFT-based CSA.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2007.895994