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A vector implementation of the Fast Fourier Transform algorithm

Author: Bengt Fornberg
Journal: Math. Comp. 36 (1981), 189-191
MSC: Primary 68A10; Secondary 42A68
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Abstract: A recent article in this journal by D. G. Korn and J. J. Lambiotte, Jr. discusses implementations of the FFT algorithm on the CDC STAR-100 vector computer. The 'Pease'-algorithm is recommended in cases when only a few transforms can be performed simultaneously. We show how the use of a different algorithm and of trigonometric tables will lead to more than three times faster execution times. The times for large transforms increase only about 39

References [Enhancements On Off] (What's this?)

  • [1] D. G. Korn & J. J. Lambiotte, Jr., "Computing the Fast Fourier Transform on a vector computer," Math. Comp., v. 33, 1979, pp. 977-992. MR 528051 (80k:65108)
  • [2] J. W. Cooley & J. W. Tukey, "An algorithm for the machine calculation of complex Fourier series," Math. Comp., v. 19, 1965, pp. 297-301. MR 0178586 (31:2843)
  • [3] W. T. Cochran et al., "What is the Fast Fourier Transform?," IEEE Trans. Audio Electroacoust., v. Au-15, 1967, pp. 45-55.
  • [4] M. C. Pease, "An adaption of the Fast Fourier Transform for parallel processing," J. Assoc. Comput. Mach., v. 15, 1968, pp. 253-264.
  • [5] J. A. Glassman, "A generalization of the Fast Fourier Transform," IEEE Trans. Comput., v. C-19, 1970, pp. 106-116. MR 0253590 (40:6804)
  • [6] S. Winograd, "On computing the discrete Fourier transform," Proc. Nat. Acad. Sci. U.S.A., v. 74, 1976, pp. 1005-1006. MR 0415993 (54:4070)

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Article copyright: © Copyright 1981 American Mathematical Society

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