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# Field Algorithm

• Richard Tolimieri
• Myoung An
• Chao Lu
Part of the Signal Processing and Digital Filtering book series (SIGNAL PROCESS)

## Abstract

In 1968, C. Rader [7]observed that for a prime number p, the p-point 1-dimensional FT could be computed by a (p— 1) x (p— 1) skew-circulant matrix action. S. Winograd and others greatly extended the range of Rader’s method to include the p R-point 1-dimensional FT and multidimensional generalizations [3].

## Keywords

Discrete Fourier Transform Finite Field Irreducible Polynomial Circulant Matrix Multiplicative Character
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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## References

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Rader, C. (1968), “Discrete Fourier Transforms when the Number of Data Samples is Prime,” Proc. IEEE 56, 1107–1108.
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Tolimieri, R., An, M., Abdelatif, Y., Lu, C, Kechriotis, G. and Anupindi, N (1995), “Group Invariant Fourier Transform Algorithms,” Advances in Imaging and Electron Physics 93, 1–55.
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## Copyright information

© Springer Science+Business Media New York 1997

## Authors and Affiliations

• Richard Tolimieri
• 1
• Myoung An
• 2
• Chao Lu
• 3
1. 1.Department of Electrical EngineeringCity College of CUNYNew YorkUSA
2. 2.A.J. Devaney AssociatesAllstonUSA
3. 3.Department of Computer and Information SciencesTowson State UniversityTowsonUSA