A rational approximation of the Fourier transform by integration with exponential decay multiplier
| Autor: | Brendan M. Quine, Rehan Siddiqui, Rajinder K. Jagpal, Sanjar M. Abrarov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
Sinc function General Medicine Function (mathematics) Multiplier (Fourier analysis) symbols.namesake Fourier transform Sampling (signal processing) General Mathematics (math.GM) symbols FOS: Mathematics Applied mathematics Exponential decay Trigonometry 41A20 Mathematics - General Mathematics Mathematics |
| Popis: | 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. 23 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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