Fast Fourier Transform Algorithms for Parallel Computers

  • Daisuke Takahashi

Part of the High-Performance Computing Series book series (HPC, volume 2)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Daisuke Takahashi
    Pages 1-3
  3. Daisuke Takahashi
    Pages 5-13
  4. Daisuke Takahashi
    Pages 15-20
  5. Daisuke Takahashi
    Pages 21-33
  6. Daisuke Takahashi
    Pages 35-40
  7. Daisuke Takahashi
    Pages 41-68
  8. Back Matter
    Pages 113-114

About this book


Following an introduction to the basis of the fast Fourier transform (FFT), this book focuses on the implementation details on FFT for parallel computers. FFT is an efficient implementation of the discrete Fourier transform (DFT), and is widely used for many applications in engineering, science, and mathematics. Presenting many algorithms in pseudo-code and a complexity analysis, this book offers a valuable reference guide for graduate students, engineers, and scientists in the field who wish to apply FFT to large-scale problems.Parallel computation is becoming indispensable in solving the large-scale problems increasingly arising in a wide range of applications. The performance of parallel supercomputers is steadily improving, and it is expected that a massively parallel system with hundreds of thousands of compute nodes equipped with multi-core processors and accelerators will be available in the near future. Accordingly, the book also provides up-to-date computational techniques relevant to the FFT in state-of-the-art parallel computers.

 Following the introductory chapter, Chapter 2 introduces readers to the DFT and the basic idea of the FFT. Chapter 3 explains mixed-radix FFT algorithms, while Chapter 4 describes split-radix FFT algorithms. Chapter 5 explains multi-dimensional FFT algorithms, Chapter 6 presents high-performance FFT algorithms, and Chapter 7 addresses parallel FFT algorithms for shared-memory parallel computers. In closing, Chapter 8 describes parallel FFT algorithms for distributed-memory parallel computers.​


Fast Fourier Transform FFT Parallel Computer Supercomputer High Performance Computing Discrete Fourier Transform DFT Many-core processors

Authors and affiliations

  • Daisuke Takahashi
    • 1
  1. 1.University of Tsukuba TsukubaJapan

Bibliographic information