Improved digital filters for evaluating Fourier and Hankel transform integrals
By: Walter L. Anderson
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Abstract
New algorithms are described for evaluating Fourier (cosine, sine) and Hankel (J0,J1) transform integrals by means of digital filters. The filters have been designed with extended lengths so that a variable convolution operation can be applied to a large class of integral transforms having the same system transfer function. A f' lagged-convolution method is also presented to significantly decrease the computation time when computing a series of like-transforms over a parameter set spaced the same as the filters. Accuracy of the new filters is comparable to Gaussian integration, provided moderate parameter ranges and well-behaved kernel functions are used. A collection of Fortran IV subprograms is included for both real and complex functions for each filter type. The algorithms have been successfully used in geophysical applications containing a wide variety of integral transforms
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Unnumbered Series |
| Title | Improved digital filters for evaluating Fourier and Hankel transform integrals |
| DOI | 10.3133/70045426 |
| Year Published | 1975 |
| Language | English |
| Publisher | U.S. Geological Survey |
| Publisher location | Denver, CO |
| Description | 119 p. |
| Additional Online Files (Y/N) | N |
| Google Analytic Metrics | Metrics page |