Computation of Discrete Fourier Transforms by Polynomial Transforms

Part of the Springer Series in Information Sciences book series (SSINF, volume 2)


As indicated in the previous chapter, polynomial transforms can be used to efficiently map multidimensional convolutions into one-dimensional convolutions and polynomial products. In this chapter, we shall see that polynomial transforms can also be used to map multidimensional DFTs into one-dimensional DFTs. This mapping is very efficient because it is accomplished using ordinary arithmetic without multiplications, and because it can be implemented by FFT-type algorithms when the dimensions are composite.


Discrete Fourier Transform Arithmetic Operation Real Multiplication Real Operation Reduction Modulo 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  1. 1.Department d’ElectricitéEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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