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Fixed-point fast Fourier transform error analysis

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2 Author(s)
Tran-Thong ; Electronics Park, Syracuse, NY ; Liu, B.

A statistical model for roundoff errors is used to predict the output noise of the two common forms of the fast Fourier transform (FFT) algorithm, the decimations in-time and in-frequency. This paper deals with two's complement arithmetic with either rounding or chopping. The total mean-square errors and the mean-square errors for the individual points are derived for radix-2 FFT's. Results for mixed-radix FFT are also given.

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:24 ,  Issue: 6 )