Question: Express the algorithm described in the graph of the decimation-in-frequency FFT in Figure 3.13 in matrix form. Fig. 3.13. x(0) x(1) x(2) -1 WN2 x(3)

Express the algorithm described in the graph of the decimation-in-frequency FFT in Figure 3.13 in matrix form.

Fig. 3.13. x(0) x(1) x(2) -1 WN2 x(3) W x(4) WN x(5)

Fig. 3.13. x(0) x(1) x(2) -1 WN2 x(3) W x(4) WN x(5) W W4 x(6) -1 W x(7) -1 -1 -1 X(0) X(4) X(2) WN4 + X(6) X(1) WA X(5) X(3) WN2 W X(7) -1 Graph of the decimation-in-frequency eight-point FFT algorithm.

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