Analytic derivation of the performance degradation in recursive implementation of sliding-DFT with the twiddle factors of finite-bit precision

This paper presents an analytic derivation of the erroneous effect when the sliding-DFT is implemented in a recursive way with the finite-bit approximation of the twiddle factors. The analysis result is obtained in a closed form equation of the noise-to-signal power ratio (NSR) employing the zero-mean white Gaussian signal as the target input of the DFT. The analytically derived results are verified through the comparison with the data actually measured from the computer simulation experiment.