论文标题
通过与指数衰减乘数集成，对傅立叶变换的合理近似
A rational approximation of the Fourier transform by integration with exponential decay multiplier
论文作者
论文摘要
最近，我们报道了一种通过采样和傅立叶变换获得的SINC函数合理近似的新方法。但是，此方法需要一个三角乘数，该乘数源自傅立叶变换的转换属性。在这项工作中，我们展示了如何以两个多项式的比例表示函数$ f（t）$的傅立叶变换，而无需任何三角乘法器。提出了一个显示算法的算法实现的MATLAB代码，以实现傅立叶变换的合理近似。
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.
