July 2024
Intermediate to advanced
436 pages
10h 46m
English
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Chapter 11: Applications of the fast Fourier transform
Abstract
This chapter shows some applications of the fast Fourier transform and how to utilize the CUFFT library.
Keywords
Spectral derivative; CUFFT; Convolution; Overlapping of transfers and compute
The Fourier transform is of fundamental importance in several fields, from image processing to computational physics, just to name a few. The discrete Fourier transform (DFT) is an approximation in which discrete samples of a function f in physical space can be transformed into the Fourier coefficients 
via the relation
This formula can be rewritten as a matrix–vector product ...
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