Academic Journal

A direct method and parallel algorithm for general N-dimensional FFT

Bibliographic Details
Title: A direct method and parallel algorithm for general N-dimensional FFT
Authors: You, Zhaoyong, Li, Lei
Publisher Information: Zhejiang University Press, Zhejiang
Subject Terms: Complexity and performance of numerical algorithms, transform matrix, sequential and parallel algorithms, complexity, orthogonal transformation, fast Fourier transform, Numerical methods for discrete and fast Fourier transforms
Description: Summary: We directly set up an \(N\)-dimensional transform matrix for a kind of general \(N\)-dimensional orthogonal transformation which is widely used. The calculation for the transformation by this matrix is obviously less than that by the usual methods. As application, we give the formulae and the complexity of the sequential and parallel algorithms for the general \(N\)-dimensional direct fast Fourier transform (FFT), as well as the quantity of its calculation.
Document Type: Article
File Description: application/xml
Access URL: https://zbmath.org/123335
Accession Number: edsair.c2b0b933574d..d74896c7c17e47b048a3927e41eb7a75
Database: OpenAIRE
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