The Design and Implementation of FFTW3
Abstract
FFTW is an implementation of the discrete Fourier transform (DFT) that adapts to the hardware in order to maximize performance. This paper shows that such an approach can yield an implementation that is competitive with hand-optimized libraries, and describes the software structure that makes our current FFTW3 version flexible and adaptive. We further discuss a new algorithm for real-data DFTs of prime size, a new way of implementing DFTs by means of machine-specific single-instruction, multiple-data (SIMD) instructions, and how a special-purpose compiler can derive optimized implementations of the discrete cosine and sine transforms automatically from a DFT algorithm.
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- Authors
- Frigo, M., & Johnson, S. G.
- Affiliations
- IBM Research - Austin (US)
- Massachusetts Institute of Technology (US)
- Venue
- Proceedings of the IEEE
- Published
- 2005-02
- Volume
- 93
- Issue
- 2
- Pages
- 216-231
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2102182691
- Cited by
- 5,086
- References
- 1
- Citations by year
- 2026: 170 · 2025: 179 · 2024: 218 · 2023: 232 · 2022: 202 · 2021: 269 · 2020: 267 · 2019: 250 · 2018: 271 · 2017: 225 · 2016: 271 · 2015: 263 · 2014: 299 · 2013: 301 · 2012: 252
- FWCI
- 275.60
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the IEEE (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Computer Science › Hardware and Architecture › Parallel Computing and Optimization Techniques
- Physical Sciences › Computer Science › Hardware and Architecture › Embedded Systems Design Techniques
- Keywords
- discrete Fourier transform, SIMD instructions, automatic code generation, discrete cosine transform, discrete sine transform, software architecture
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