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Recursive Form of the Discrete Fourier Transform for Two-Dimensional Signals

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Intelligent Data Engineering and Automated Learning — IDEAL 2002 (IDEAL 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2412))

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Abstract

In this paper, recursive fast Fourier transform is presented for two-dimensional signals. When applying to real-time analysis, the computational efficiency is highly improved by integrating a recursive procedure. The recursive procedure highly reduces the number of complex arithmetic operations, and provide detailed spectral analysis for one or two-dimensional signals.

In the first stage, the recursive algorithm is realized for one-dimensional signals. Then, recursive fast Fourier transform is presented for two-dimensional signals. The advantages of the recursive algorithm are presented by giving examples for one and two-dimensional signals.

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References

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Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Istanbul Technical University, Istanbul, Turkey

    Zümray Dokur & Tamer Ölmez

Authors
  1. Zümray Dokur
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  2. Tamer Ölmez
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Electronics, UMIST, Manchester, M60 1QD, UK

    Hujun Yin , Nigel Allinson  & Richard Freeman ,  & 

  2. Department of Computation, UMIST, Manchester, M60 1QD, UK

    John Keane

  3. Department of Biomolecular Science, UMIST, Manchester, M60 1QD, UK

    Simon Hubbard

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© 2002 Springer-Verlag Berlin Heidelberg

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Dokur, Z., Ölmez, T. (2002). Recursive Form of the Discrete Fourier Transform for Two-Dimensional Signals. In: Yin, H., Allinson, N., Freeman, R., Keane, J., Hubbard, S. (eds) Intelligent Data Engineering and Automated Learning — IDEAL 2002. IDEAL 2002. Lecture Notes in Computer Science, vol 2412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45675-9_83

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  • DOI: https://doi.org/10.1007/3-540-45675-9_83

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44025-3

  • Online ISBN: 978-3-540-45675-9

  • eBook Packages: Springer Book Archive

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