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Rounding error in the discrete Fourier transform calculated with fast fixed-point algorithms is considered. It is shown that the variance of the rounding error depends on frequency index. Theoretically obtained results for error variance are statistically checked on decimation-in-time fast Fourier transform with two rounding methods.
The analysis, processing, and parameters estimation of signals whose spectral content changes in time are of crucial interest in many applications, including radar, acoustics, biomedicine, communications, multimedia, seismic, and the car industry [1]? [11]. Various signal representations have been introduced to deal with this kind of signals within the area known as time-frequency (TF) signal analysis...
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