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A Parallel Fast Fourier Transform

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  • SILVIA MORANTE

    (Dipartimento di Fisica, Università di Roma Tor Vergata, INFM, Unità di Tor Vergata, INFN, Sezione di Roma 2, Via della Ricerca Scientifica, 00133 Roma, Italy)

  • GIANCARLO ROSSI

    (Dipartimento di Fisica, Università di Roma Tor Vergata, INFN, Sezione di Roma 2, Via della Ricerca Scientifica, 00133 Roma, Italy)

  • GAETANO SALINA

    (INFN, Sezione di Roma 2, Via della Ricerca Scientifica, 00133 Roma, Italy)

Abstract

In this paper we discuss the general problem of implementing the multidimensional Fast Fourier Transform algorithm on parallel computers. We show that, on a machine withPprocessors and fully parallel node communications, the optimal asymptotic scaling behavior of the total computational time with the number of data points,N, given inddimensions by the formulaaN/Plog(N/P)+bN/P(d-1)/d, can actually be achieved on realistic platforms. As a concrete realization of our strategy, we have produced codes efficiently running on machines of the APE family and on Cray T3E. On the former for asymptotic values ofNour codes attain the above optimal result.

Suggested Citation

  • Silvia Morante & Giancarlo Rossi & Gaetano Salina, 1999. "A Parallel Fast Fourier Transform," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(05), pages 781-805.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:05:n:s0129183199000607
    DOI: 10.1142/S0129183199000607
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    Keywords

    Fourier transform; Parallel computing;

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