Computation of the Hankel transform using projections Academic Article uri icon

abstract

  • In this paper two new algorithms for computing an nth?order Hankel transform are proposed. The algorithms are based on characterizing a circularly symmetric function and its two?dimensional Fourier transform by a radial section and interpreting the Hankel transform as the relationship between the radial section in the two domains. By utilizing the property that the projection of a two?dimensional function in one domain transforms to a radial section in the two?dimensional Fourier transform or inverse Fourier transform domain, several efficient procedures for computing the Hankel transform exploiting the one?dimensional FFT algorithm are suggested.

publication date

  • August 1980