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Problemy Peredachi Informatsii, 2017, Volume 53, Issue 3, Pages 90–99 (Mi ppi2247)  
This article is cited in 2 scientific papers (total in 2 papers)

Large Systems

On the real complexity of a complex DFT

I. S. Sergeev

Federal State Unitary Enterprise "Kvant Scientific Research Institute", Moscow, Russia
Full-text PDF (161 kB) Citations (2)
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Abstract: We present a method to construct a theoretically fast algorithm for computing the discrete Fourier transform (DFT) of order $N=2^n$. We show that the DFT of a complex vector of length $N$ is performed with complexity of $3{,}76875N\log_2N$ real operations of addition, subtraction, and scalar multiplication.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00485а
Supported in part by the Russian Foundation for Basic Research, project no. 17-01-00485a.
Received: 29.08.2016
Revised: 21.11.2016
English version:
Problems of Information Transmission, 2017, Volume 53, Issue 3, Pages 284–293
DOI: https://doi.org/10.1134/S0032946017030103
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: I. S. Sergeev, “On the real complexity of a complex DFT”, Probl. Peredachi Inf., 53:3 (2017), 90–99; Problems Inform. Transmission, 53:3 (2017), 284–293
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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