Computation of the Hankel transform using projections
Oppenheim, Alan V.
Frisk, George V.
Martinez, David R.
MetadataShow full item record
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.
Also published as: Journal of the Acoustical Society of America 68 (1980): 523-529
Suggested CitationTechnical Report: Oppenheim, Alan V., Frisk, George V., Martinez, David R., "Computation of the Hankel transform using projections", 1981-04, DOI:10.1575/1912/10239, https://hdl.handle.net/1912/10239
Showing items related by title, author, creator and subject.
Malins, Donald C.; Stegeman, John J.; Anderson, Jack W.; Johnson, Paul M.; Gold, Jordan; Anderson, Katie M. (National Institute of Environmental Health Sciences, 2003-12-18)Structural differences were identified in gill DNA from two groups of English sole collected from Puget Sound, Washington, in October 2000. One group was from the industrialized Duwamish River (DR) in Seattle and the ...
Shapiro, Ari D.; Wang, Chao (Acoustical Society of America, 2009-07)In this article, a pitch tracking algorithm [named discrete logarithmic Fourier transformation-pitch detection algorithm (DLFT-PDA)], originally designed for human telephone speech, was modified for killer whale vocalizations. ...
Pomerantz, Andrew E.; Ventura, Gregory T.; McKenna, Amy M.; Canas, Jesus A.; Auman, John; Koerner, Kyle; Curry, David; Nelson, Robert K.; Reddy, Christopher M.; Rodgers, Ryan P.; Marshall, Alan G.; Peters, Kenneth E.; Mullins, Oliver C. (2010-04-10)Hydraulic connectivity of petroleum reservoirs represents one of the biggest uncertainties for both oil production and petroleum system studies. Here, a geochemical analysis involving bulk and detailed measures of crude ...