In Section 9.7 we considered a noise analysis of the decimation-in-time FFT algorithm of...

In Section 9.7 we considered a noise analysis of the decimation-in-time FFT algorithm of Figure 9.11. Carry out a similar analysis for the decimation-in-frequency algorithm of Figure 9.22, obtaining equations for the output noise variance and noise-to-signal ratio for scaling at the input and also for scaling by at each stage of computation.