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Integration of the cooley, rader and Winograd-Fourier algorithms for a faster computation of the DFT

  • Algorithms And Techniques
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Recent Issues in Pattern Analysis and Recognition

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 399))

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Abstract

In this paper a new method to make faster the Winograd-Fourier algorithm is presented.

In fact it is shown as for some prime factors the Cooley FFT algorithm together with the Rader algorithm allow a very fast computation of the DFT.

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References

  1. J. W. Cooley, P. A. W. Lewis, P. D. Welch, "The Fast Fourier Transform and its Applications." IEEE Transaction and Education, Vol. 12, no 1, March 1969.

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  2. S. Winograd, "On Computing the Discrete Fourier Transform". Mathematics of computation, Vol. 32, 1978, pp.175–199.

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  3. J. H. Mc. Clellan, C.M. Rader, "Number Theory in Digital. Signal Processing". Prentice-Hall Inc., Englewood Cliffs, N.J., 1979.

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  4. S. Impedovo, "Introduzione all'Analisi Spettrale ed Algoritmi FFT". Adriatica Editrice, Bari, 1987.

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Authors

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Virginio Cantoni Reiner Creutzburg Stefano Levialdi G. Wolf

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© 1989 Springer-Verlag Berlin Heidelberg

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Impedovo, S., Simone, T., Dimauro, G. (1989). Integration of the cooley, rader and Winograd-Fourier algorithms for a faster computation of the DFT. In: Cantoni, V., Creutzburg, R., Levialdi, S., Wolf, G. (eds) Recent Issues in Pattern Analysis and Recognition. Lecture Notes in Computer Science, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51815-0_41

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  • DOI: https://doi.org/10.1007/3-540-51815-0_41

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51815-0

  • Online ISBN: 978-3-540-46815-8

  • eBook Packages: Springer Book Archive

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