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CUDA Fortran for Scientists and Engineers by Massimiliano Fatica, Gregory Ruetsch

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Chapter 7

Applications of 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. The Discrete Fourier Transform (DFT) is an approximation in which discrete samples of a function image in physical space can be transformed to Fourier coefficients image via the relation:

This formula ...

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