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On computing the split-radix FFT

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3 Author(s)
H. Sorensen ; Rice University, Houston, TX. ; M. Heideman ; C. Burrus

This paper presents an efficient Fortran program that computes the Duhamel-Hollmann split-radix FFT. An indexing scheme is used that gives a three-loop structure for the split-radix FFT that is very similar to the conventional Cooley-Tukey FFT. Both a decimation-in-frequency and a decimation-in-time program are presented. An arithmetic analysis is made to compare the operation count of the Cooley-Tukey FFT fo several different radixes to that of the split-radix FFT. The split-radix FFT seems to require the least total arithmetic of any power-of-two DFT algorithm.

Published in:

IEEE Transactions on Acoustics, Speech, and Signal Processing  (Volume:34 ,  Issue: 1 )