Roundoff error in fast Fourier transforms

B. Liu, T. Kaneko · Proceedings of the IEEE · 1975

The finite word length used in the computer causes round-off error in the calculation of Fourier coefficients. When the fast Fourier transform method is used, the statistical mean-square error has been previously determined [3] for the case of the decimation-infrequency algorithm. This letter treats the same problem for the decimation-in-time algorithm.

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