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Fast Hankel transform algorithm

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1 Author(s)
Hansen, E. ; Dartmouth College, Hanover, NH

The Hankel, or Fourier-Bessel, transform is an important computational tool for optics, acoustics, and geophysics. It may be computed by a combination of an Abel transform, Which maps an axisymmetric two-dimensional function into a line integral projection, and a one-dimensional Fourier transform. This paper presents a Hankel transform algorithm using a fast (linear time) Abel transform, followed by an FFT.

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:33 ,  Issue: 3 )