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Fast Fourier Transforms for Nonequispaced Data: A Tutorial

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Modern Sampling Theory

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

In this chapter we consider approximativemethods for the fast computation of multivariate discrete Fourier transforms for nonequispaced data (NDFT) in the time domain and in the frequency domain. In particularwe are interested in the approximation error as function of the arithmetic complexity of the algorithm. We discuss the robustness of NDFT¡ªalgorithms with respect to roundoff errors and applyNDFTalgorithms for the fast computation of Besseltransforms.

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© 2001 Springer Science+Business Media New York

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Potts, D., Steidl, G., Tasche, M. (2001). Fast Fourier Transforms for Nonequispaced Data: A Tutorial. In: Benedetto, J.J., Ferreira, P.J.S.G. (eds) Modern Sampling Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0143-4_12

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  • DOI: https://doi.org/10.1007/978-1-4612-0143-4_12

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6632-7

  • Online ISBN: 978-1-4612-0143-4

  • eBook Packages: Springer Book Archive

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