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Fast Fourier transform
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==See also== FFT-related algorithms: * [[Bit-reversal permutation]] * [[Goertzel algorithm]] – computes individual terms of discrete Fourier transform FFT implementations: * [[ALGLIB]] – a dual/GPL-licensed C++ and C# library (also supporting other languages), with real/complex FFT implementation * [[FFTPACK]] – another Fortran FFT library (public domain) * Architecture-specific: ** Arm Performance Libraries<ref name="Arm Performance Libraries">{{cite web|date=2020 |title=Arm Performance Libraries |publisher=[[Arm]] |url=https://www.arm.com/products/development-tools/server-and-hpc/allinea-studio/performance-libraries |access-date=2020-12-16}}</ref> ** Intel [[Integrated Performance Primitives]] ** Intel [[Math Kernel Library]] * Many more implementations are available,<ref>{{Cite web|date=2020-04-05|title=Complete list of C/C++ FFT libraries|url=https://community.vcvrack.com/t/complete-list-of-c-c-fft-libraries/9153|access-date=2021-03-03|website=VCV Community|language=en}}</ref> for CPUs and GPUs, such as PocketFFT for C++ Other links: * [[Odlyzko–Schönhage algorithm]] applies the FFT to finite [[Dirichlet series]] * [[Schönhage–Strassen algorithm]] – asymptotically fast multiplication algorithm for large integers * [[Butterfly diagram]] – a diagram used to describe FFTs * [[Spectral music]] (involves application of DFT analysis to musical composition) * [[Spectrum analyzer]] – any of several devices that perform spectrum analysis, often via a DFT * [[Time series]] * [[Fast Walsh–Hadamard transform]] * [[Generalized distributive law]] * [[Least-squares spectral analysis]] * [[Multidimensional transform]] * [[Multidimensional discrete convolution]] * [[Fast Fourier Transform Telescope]]
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