On the real complexity of a complex DFT
- Autores: Sergeev I.S.1
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Afiliações:
- Federal State Unitary Enterprise “Kvant Scientific Research Institute,”
- Edição: Volume 53, Nº 3 (2017)
- Páginas: 284-293
- Seção: Large Systems
- URL: https://journal-vniispk.ru/0032-9460/article/view/166429
- DOI: https://doi.org/10.1134/S0032946017030103
- ID: 166429
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Resumo
We present a method to construct a theoretically fast algorithm for computing the discrete Fourier transform (DFT) of order N = 2n. We show that the DFT of a complex vector of length N is performed with complexity of 3.76875N log2N real operations of addition, subtraction, and scalar multiplication.
Sobre autores
I. Sergeev
Federal State Unitary Enterprise “Kvant Scientific Research Institute,”
Autor responsável pela correspondência
Email: isserg@gmail.com
Rússia, Moscow
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