Author(s)

Sanjar M. Abrarov^1,2, Rehan Siddiqui^2,3,4, Rajinder K. Jagpal^3,4, Brendan M. Quine^1,2,4

¹Thoth Technology Inc., Algonquin Radio Observatory, Pembroke, ON, Canada.
²Department of Earth and Space Science and Engineering, York University, Toronto, Canada.
³Epic College of Technology, Mississauga, Canada.
⁴Department of Physics and Astronomy, York University, Toronto, Canada.

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 the shifting property of the Fourier transform. In this work, we show how to represent the Fourier transform of a function f(t) 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.

Rational Approximation, Fourier Transform, Sampling, Sinc Function

Abrarov, S. , Siddiqui, R. , Jagpal, R. and Quine, B. (2021) A Rational Approximation of the Fourier Transform by Integration with Exponential Decay Multiplier. Applied Mathematics, 12, 947-962. doi: 10.4236/am.2021.1211063.