Effects of FFT coefficient quantization on bin frequency response

A method is presented for analyzing the effets of quantization of coefficients on the frequency response of any frequency bin of the fast Fourier transform (FFT) algorithm. Although more detail is easily obtained, we concentrate on predicting the locations and sizes of all spurious sidelobes in the frequency response which are above any specified level. Certain sidelobes are present due to the particular window or weighting function that is being used. Spurious sidelobes or artifacts are extra sidelobes which are introduced if the FFT coefficients are quantized.