Title :
Numerical calculation of Fourier-transform integrals
Author :
Piessens, R. ; Haegemans, Ann
Author_Institution :
University of Leuven, Applied Mathematics & Programming Division, Heverlee, Belgium
Abstract :
A Fourier-transform integral can be transformed into an integral of a periodic function over a finite interval. This integral can be calculated efficiently by the trapezium rule, while the periodic function, which is expressed as an infinite series, can be evaluated using Euler´s transformation. A FORTRAN program implementing this method is presented.
Keywords :
Fourier transforms; computer applications; function approximation; integration; numerical methods; Euler´s transformation; FORTRAN program; Fourier transform integrals; numerical calculation;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19730079