Department of Computer Science
 
Chair V

 
University of Bonn -> Department of Computer Science -> Chair V
CS-Reports 1990 Copyright 1990 University of Bonn, Department of Computer Science, Abt. V
8550

20.11.2008

Improved Upper Complexity Bounds for the Discrete Fourier Transform
Ulrich Baum, Michael Clausen, Benno Tietz
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The linear complexity LS(G) of a finite Group G is the minimal number of additions, subtractions and multiplications needed to evaluate a suitable Fourier transform of CG. Combining and modifying several classical FFT-algorithms, we show that LS ≤ 8|G| log2|G| for any finite abelian group G.

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University of Bonn -> Department of Computer Science -> Chair V