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The Discrete and Fast Fourier Transforms

  • George Bachman
  • Lawrence Narici
  • Edward Beckenstein
Chapter
  • 1.1k Downloads
Part of the Universitext book series (UTX)

Abstract

For some functions f, it is impractical (indeed, well-nigh impossible) to evaluate the Fourier transform
$$\mathop{f}\limits^{ \wedge } \left( \omega \right) = \int_{{ - \infty }}^{\infty } {f\left( t \right)} {e^{{ - iwt}}}dt$$
.

Keywords

Fast Fourier Transform Orthonormal Basis Discrete FOURIER Transform Circulant Matrix Fast FOURIER Transform Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • George Bachman
    • 1
  • Lawrence Narici
    • 2
  • Edward Beckenstein
    • 3
  1. 1.Emeritus of MathematicsPolytechnic UniversityBrooklynUSA
  2. 2.Department of Mathematics and Computer ScienceSt. John’s UniversityJamaicaUSA
  3. 3.Science DivisionSt. John’s UniversityStaten IslandUSA

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