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OPTIMIZED FAST HANKEL TRANSFORM FILTERS1
- Source: Geophysical Prospecting, Volume 38, Issue 5, Aug 1990, p. 545 - 568
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- 27 Apr 2006
Abstract
Abstract
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.