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OPTIMIZED FAST HANKEL TRANSFORM FILTERS 1
Author(s) -
CHRISTENSEN NIELS BØIE
Publication year - 1990
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1990.tb01861.x
Subject(s) - digital filter , hankel transform , computation , filter (signal processing) , sampling (signal processing) , series (stratigraphy) , algorithm , filter design , mathematics , prototype filter , linear filter , function (biology) , computer science , mathematical analysis , bessel function , geology , paleontology , evolutionary biology , computer vision , biology
A bstract In the linear digital filter theory for calculation of Hankel transforms it is possible to find explicit series expansions for the filter coefficients. A method is presented for optimizing the Hankel filters calculated in this way. For a certain desired accuracy of computation, the sampling density and filter length are minimized by choosing the parameters determining the filter characteristics according to the analytical properties of the input function. A new approach to the calculation of the filter coefficients has been developed for these optimized filters. The length of the filters may be further reduced by introducing a shift in the sampling scheme.