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Publications related to variations of the DFT

  • S. Bagchi, S.K. Mitra, The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing, Springer, 1999.

  • D. H. Bailey and P. N. Swarztrauber, The fractional Fourier transform and applicatioins, SIAM Rev., 33 (3), 389-404, (1991). Errata

  • A. Dutt. and V. Rokhlin, Fast Fourier transforms for nonequispaced data, SIAM Journal of Scientific Computing, 14 (6), 1368-1393, (1993).

  • A. Dutt and V. Rokhlin, Fast Fourier transforms for nonequispaced data, II, Applied and Computational Harmonic Analysis, 2 (1), 85-100, (1995).

  • J. A. Fessler and B. P. Sutton, Nonuniform fast Fourier transforms using min-max interpolation, IEEE Transactions on Signal Processing, 51 (2), 560-574, (2003).

  • K. Fourmont, Nonequispaced fast Fourier transforms with applications in tomography, Journal of Fourier Analysis and Applications, 9 (5), 431-450, (2003).

  • L. Greengard and J. Y. Lee, Accelerating the nonuniform fast Fourier transform, SIAM Rev., 46 (3), 443-454, (2004).

  • J. Keiner, S. Kunis and D. Potts, Using NFFT 3---a software library for various nonequispaced fast Fourier transforms, Journal ACM Transactions on Mathematical Software, 36 (4), (2009).

  • N. Nguyen and Q. H. Liu, The regular Fourier matrices and nonuniform fast Fourier transforms, SIAM J. Sci. Comput., 21 (1), 283�293, (1999).

  • D. Potts, G. Steidl, M. Tasche, Modern sampling theory, Springer, 2001.

  • G. Steidl, A note on fast Fourier transforms for nonequispaced data, Advances in Computational Mathematics, 9 (3-4), 337-352, (1998).

  • A. F. Ware, Fast approximate Fourier transforms of irregularly spaced data, SIAM, 40 (4), 838-856, (1998).

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Norbert Wiener Center
Department of Mathematics
University of Maryland
College Park, MD 20742
Phone: (301) 405-5158
The Norbert Wiener Center is part of the College of Computer, Mathematical, and Natural Sciences.