Journal ArticleDOI
A new polar Fourier transform for computer-aided tomography and spotlight synthetic aperture radar
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TLDR
An algorithm for calculating the Fourier transform of certain discrete measures supported on a two-dimensional polar grid is described and applications to computer-aided tomography and spotlight synthetic aperture radar are described.Abstract:
An algorithm for calculating the Fourier transform of certain discrete measures supported on a two-dimensional polar grid is described. The algorithm utilizes a modified Bluestein chirp algorithm to directly calculate the Fourier transform values over a rectangular grid. Applications to computer-aided tomography and spotlight synthetic aperture radar are described. >read more
Citations
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Journal ArticleDOI
Fast and accurate Polar Fourier transform
TL;DR: A fast high accuracy Polar FFT based on the pseudo-Polar domain, an FFT where the evaluation frequencies lie in an oversampled set of nonangularly equispaced points, including fast forward and inverse transforms.
Journal ArticleDOI
A signal processing view of strip-mapping synthetic aperture radar
David C. Munson,R.L. Visentin +1 more
TL;DR: The authors derive the fundamental strip-mapping SAR (synthetic aperture radar) imaging equations from first principles and show that the resolution mechanism relies on the geometry of the imaging situation rather than on the Doppler effect.
Journal ArticleDOI
A Framework for Discrete Integral Transformations I—The Pseudopolar Fourier Transform
TL;DR: This paper proves that the ppFT is invertible and develops two algorithms for its inversion: iterative and direct, both with complexity $O(n^{2}\log{n})$, where $n \times n$ is the size of the reconstructed image.
Journal ArticleDOI
Fourier-based forward and back-projectors in iterative fan-beam tomographic image reconstruction
Y.Z. O'Connor,Jeffrey A. Fessler +1 more
TL;DR: The studies show that the fan-beam Fourier-based forward and back-projection methods can significantly reduce the computation time while still providing comparable accuracy as their space-based counterparts.
Journal ArticleDOI
Polar format agorithm using chirp scaling for spotlight SAR image formation
Daiyin Zhu,Shaohua Ye,Zhaoda Zhu +2 more
TL;DR: A novel implementation of the polar format algorithm (PFA) using the principle of chirp scaling (PCS) for spotlight synthetic aperture radar (SAR) image formation is addressed and a PFA completely free of interpolation has been achieved in moderate squinted imaging geometry.
References
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Journal ArticleDOI
Developments in Radar Imaging
TL;DR: A review of the range-Doppler technique is presented along with a description of radar imaging forms including details of data acquisition and processing techniques.
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A tomographic formulation of spotlight-mode synthetic aperture radar
TL;DR: In this article, a projection-slice theorem from computer-aided tomograpy (CAT) is used to analyze the signal recorded at each SAR transmission point, which is modeled as a portion of the Fourier transform of a central projection of the imaged ground area.
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Range-Doppler Imaging of Rotating Objects
TL;DR: In this article, the effects of various system aberrations are investigated and experimental results from a microwave test range which demonstrate the image improvement are presented, along with an analysis of the three-dimensional radar/object geometry with separate source and receiver locations.
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A linear filtering approach to the computation of discrete Fourier transform
TL;DR: It is shown that the discrete equivalent of a chirp filter is needed to implement the computation of the discrete Fourier transform (DFT) as a linear filtering process, and that use of the conventional FFT permits the computations in a time proportional to N \log_{2} N for any N.