  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 $f(t)$ 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.
