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On the Fast Fourier Transform on Finite Abelian Groups
May 1971 (vol. 20 no. 5)
pp. 569-571
Recent work, apparently beginning with a paper by Welch in 1966, has shown that character expansions on finite Abelian groups can be fast computed in a way that makes the FFT and FWT special cases. It is shown here how the computational saving depends on the annihilator subgroup of the character group under consideration.
Index Terms:
Abstract harmonic analysis, digital filtering, fast Fourier transform, Fourier analysis, time series processing.
Citation:
T.W. Cairns, "On the Fast Fourier Transform on Finite Abelian Groups," IEEE Transactions on Computers, vol. 20, no. 5, pp. 569-571, May 1971, doi:10.1109/T-C.1971.223291
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