A fast DFT algorithm using complex integer transforms

Computer Science

Scientific paper

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Algorithms, Discrete Functions, Fourier Transformation, Complex Numbers, Convolution Integrals, Sequencing

Scientific paper

Winograd's algorithm for computing the discrete Fourier transform is extended considerably for certain large transform lengths. This is accomplished by performing the cyclic convolution, required by Winograd's method, by a fast transform over certain complex integer fields. This algorithm requires fewer multiplications than either the standard fast Fourier transform or Winograd's more conventional algorithms.

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