hankel
by Brian Borchers
11 May 2001
(Updated 12 Oct 2006)
The routines in this directory implement Hankel transforms of order 0 and 1 by digital filtering.
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| File Information |
| Description |
The MATLAB routines in this directory implement Hankel transforms of order 0 and 1 by digital filtering. These routines are based on a Fortran program by Walt Anderson which was published as:
Anderson, W. L., 1979, Computer Program Numerical Integration of
Related Hankel Transforms of Orders 0 and 1 by Adaptive Digital
Filtering. Geophysic, 44(7):1287-1305.
The actual weights used in this code are from a later updated version of the code that was originally published in 1979.
The routine hankel0 computes a 0th order transform. The routine hankel1 computes a 1st order transform. The routine hankel01 computes both transforms. The test script does transforms on five functions with known transforms and compares the results with known exact values. The functions c1 through c5 are the five functions that are transformed by test. |
| MATLAB release |
MATLAB 7 (R14)
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| Updates |
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modifying description |
| 12 Oct 2006 |
Updated the Readme to clarify exactly which version of the Hankel transform is being computed and to warn the user against using this technique on non-smooth functions. |
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