Title :
Fast Hankel transform by fast sine and cosine transforms: the Mellin connection
Author_Institution :
Dept. of Inf. Technol., INTEC-IMEC, Gent, Belgium
fDate :
6/1/2000 12:00:00 AM
Abstract :
The Hankel transform of a function by means of a direct Mellin approach requires sampling on an exponential grid, which has the disadvantage of coarsely undersampling the tail of the function. A novel modified Hankel transform procedure that does not require exponential sampling is presented. The algorithm proceeds via a three-step Mellin approach to yield a decomposition of the Hankel transform into a sine, a cosine, and an inversion transform, which can be implemented by means of fast sine and cosine transforms
Keywords :
Hankel transforms; inverse problems; decomposition; fast Hankel transform; fast cosine transform; fast sine transform; inversion transform; modified Hankel transform; three-step Mellin approach; Acoustic applications; Convergence; Fourier transforms; Helium; Laplace equations; Optical computing; Sampling methods; Signal processing algorithms; Strips; Tail;
Journal_Title :
Signal Processing, IEEE Transactions on
