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On the group algebras' hierarchy pertaining to the parametrization of fast algorithms of Discrete Orthogonal Transforms

  • Vladimir M. Chernov
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Part of the Lecture Notes in Computer Science book series (LNCS, volume 970)

Abstract

The problem of the parametrization of fast algorithms of Discrete Orthogonal Transforms (DOTs) is treated. It has been shown that the general approach the author takes to the problem of synthesizing DOTs that employs associated DOTs with values in group algebras and subsequent interpretation of the result in an initial field forms a structural basis for such a parametrization. As an example, fast algorithms for a real DFT featured by the asymptotic reduction of order of the principal member in the estimate of multiplicative complexity are synthesized.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Vladimir M. Chernov
    • 1
  1. 1.Image Processing Systems InstituteRASSamaraRussia

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