Produkt
KlappentextThis 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 discrete operators in the same way that the corresponding continuous operators are related by the Fourier transform, and to show that the XFT matrix accordingly generates sequences of matrix operators that represent continuum operators, and which allow these operators to be studied from another perspective.
Zusammenfassung
Presents a new quadrature formula for the fractional Fourier transform
Many examples are addressed to illustrate the power of the new formula
Most of the algorithms presented, are implemented in standard packages as MATLAB or MATHEMATICA
Present the XFT matrix as a finite-dimensional transformation
Presents a new quadrature formula for the fractional Fourier transform
Many examples are addressed to illustrate the power of the new formula
Most of the algorithms presented, are implemented in standard packages as MATLAB or MATHEMATICA
Present the XFT matrix as a finite-dimensional transformation
Details
ISBN/GTIN978-3-030-13422-8
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2019
Erscheinungsdatum11.06.2019
Auflage1st ed. 2019
Seiten235 Seiten
SpracheEnglisch
Gewicht536 g
IllustrationenXIII, 235 p. 100 illus., 96 illus. in color.
Artikel-Nr.46133832
Rubriken