Fermat Number Transform Hardware Configuration,

Abstract

Based upon the theory presented in the earlier report, 'Exact Convolutions by Number-Theoretic Transforms', (T-55-703), of May, 1975, the present report describes recommended hardware configurations. The advantages from using such transforms to compute convolutions are as follows: There is no round-off error in the computations; Only N multiplications are required, where N is the block length; In complex convolutions it is possible to process the real and imaginary parts independently, which permits more parallelism and higher speed; It will be shown that complex multiplication can be performed with only two, rather than four, real multiplications.

Document Details

Document Type
Technical Report
Publication Date
Jun 18, 1975
Accession Number
ADA013394

Entities

People

  • Philip J. Erdelsky

Tags

DTIC Thesaurus Topics

  • Computations
  • Convolution

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Computer Programming and Software Development.