Title :
Computation of Fourier integral using polynomial interpolation
Author :
Bolgiano, L. ; Kabir, K.L.
Author_Institution :
University of Delaware, Newark, Delaware
Abstract :
The Newton-Gregory interpolation formula is shown to lead to a sampling theorem for signals having Laplace transforms with pole frequencies less than a submultiple of the sampling rate. Plots of spectra computed by Fourier transforming polynomials fitted to short sample sequences are exhibited which accord with this sampling theorem.
Keywords :
Convergence; Fourier transforms; Frequency; Integral equations; Interpolation; Poisson equations; Polynomials; Sampling methods; Signal generators; Taylor series;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '79.
DOI :
10.1109/ICASSP.1979.1170665
