Finite word length analysis of the radix-22 FFT

In this paper, we analyze the quantization error effects of the radix-2
²
FFT algorithm. We propose per tone models for the error power. This is a different approach from the common choice of a maximum or mean value over the spectrum. In particular, we treat three different errors: due to input quantization, due to coefficient quantization and due to quantization after a multiplication. This analysis is applied to a DMT scheme. Simulation results agree with the theoretical predictions.