A rational approximation of the Fourier transform by integration with exponential decay multiplier
General Mathematics
2022-10-18 v3
Abstract
Recently we have reported a new method of rational approximation of the sinc function obtained by sampling and the Fourier transforms. However, this method requires a trigonometric multiplier that originates from shifting property of the Fourier transform. In this work we show how to represent the Fourier transform of a function in form of a ratio of two polynomials without any trigonometric multiplier. A MATLAB code showing algorithmic implementation of the proposed method for rational approximation of the Fourier transform is presented.
Keywords
Cite
@article{arxiv.2001.07533,
title = {A rational approximation of the Fourier transform by integration with exponential decay multiplier},
author = {Sanjar M. Abrarov and Rehan Siddiqui and Rajinder K. Jagpal and Brendan M. Quine},
journal= {arXiv preprint arXiv:2001.07533},
year = {2022}
}
Comments
23 pages, 7 figures