Title :
A bilinear quadrature rule for the finite hankel transform
Author_Institution :
Ghent Univ., Ghent
Abstract :
The finite Hankel transform of order zero is evaluated by means of a bilinear quadrature formula. By imposing conditions on the bilinear weight matrix, it is guaranteed that the finite Hankel transform is correct for the class of Fourier- Bessel functions and given interpolation points in the range of the Hankel transform. The algorithm only requires the solution of two linear equations.
Keywords :
Bessel functions; Hankel transforms; interpolation; matrix algebra; Fourier- Bessel function; bilinear quadrature rule; bilinear weight matrix; finite Hankel transform; interpolation point; linear equation; Acoustic applications; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Gaussian approximation; Information technology; Integral equations; Interpolation; Optical computing; Optimized production technology;
Conference_Titel :
AFRICON 2007
Conference_Location :
Windhoek
Print_ISBN :
978-1-4244-0987-7
Electronic_ISBN :
978-1-4244-0987-7
DOI :
10.1109/AFRCON.2007.4401442
