The Multiplicative Complexity and Algorithm of the Generalized Discrete Fourier Transform (GFT)

The Multiplicative Complexity and Algorithm of the Generalized Discrete Fourier Transform (GFT)

Year:    1995

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 4 : pp. 351–356

Abstract

In this paper, we have proved that the lower bound of the number of real multiplications for computing a length $2^{t}$ real GFT(a,b) $(a=\pm 1/2,b=0\ or\ b=\pm 1/2,a=0)$ is $2^{t+1}-2t-2$ and that for computing a length $2^{t}$ real GFT(a,b)$(a=\pm 1/2, b=\pm 1/2)$ is $2^{t+1}-2$. Practical algorithms which meet the lower bounds of multiplications are given.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JCM-9277

Journal of Computational Mathematics, Vol. 13 (1995), Iss. 4 : pp. 351–356

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords: