Computation of the Hankel transform using projections
作者:
Alan V. Oppenheim,
George V. Frisk,
David R. Martinez,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1980)
卷期:
Volume 68,
issue 2
页码: 523-529
ISSN:0001-4966
年代: 1980
DOI:10.1121/1.384765
出版商: Acoustical Society of America
数据来源: AIP
摘要:
In this paper two new algorithms for computing annth‐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.
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