Question: In Section 9.7 we considered a noise analysis of the decimation-in-time FFT algorithm of figure. Carry out a similar analysis for the decimation-in-frequency algorithm of

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

* [0] o pX|0| x1] x[4] 0 X12] pX[3] X[4] x[1] X[5]

* [0] o pX|0| x1] x[4] 0 X12] pX[3] X[4] x[1] X[5] [S] o- ? 1[3] X[7] [0 *[0] x|1] [t)xo- X(2] WN oX[6] * [2] 3 *[3] x [4] d X - *[S] [s]xo- *|6] x(7]-

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