Rafael G. Campos
The XFT Quadrature in Discrete Fourier Analysis
- Springer International Publishing
- 2019
- Gebunden
- 252 Seiten
- ISBN 9783030134228
This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform. In turn, the book's second goal is to present the XFT matrix as a finite- dimensional transformation that links certain
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