Title :
Calculation of Fourier coefficients of a function given at a set of arbitrary points
Author_Institution :
University of Leuven, Applied Mathematics Division, Heverlee, Belgium
Abstract :
A numerical method is presented for the calculation of Fourier coefficients of a function which is given at a discrete set of arbitrary points. The function is approximated by a sum of Cheby¿shev polynomials. This is performed by Clenshaw´s method of curve fitting, which is a least-squares method. The Cheby¿shev coefficients are then used to construct linear combinations of Bessel functions, which are very good approximations of the Fourier coefficients.
Keywords :
Chebyshev approximation; integration; polynomials; Chebyshev polynomials; calculation of Fourier coefficients; curve fitting; function approximation; function given at discrete set of arbitrary points; least squares approximation; linear combinations of Bessel functions; numerical integration;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19710465