Question: 1. Suppose that a data x(k)= [6 1 3 4 8 1 1 2] is applied to the decimation in time (DIT) fast Fourier

1. Suppose that a data x(k)= [6 1 3 4 8 1

1. Suppose that a data x(k)= [6 1 3 4 8 1 1 2] is applied to the decimation in time (DIT) fast Fourier transform (FFT) calculator shown below. N = 8. x(0) x(4) x(2) x(6) x(1) x(5) x(3) x(7) -1 -1 -1 -1 X1(0) XI(1) X1(2) Wy X1(3) X1(4) X1(5) X1(6) w X1(7) -1 Find the numerical values of -1 -1 -1 X2(0) X2(1) X2(2) X2(3) X2(4) W X2(5) wX2(6) w 32(7) -1 -1 -1 3240) X(1) 32(3) 32445) 32(6) 32(7) (a) x1(0), X1(1), X1(2), X1(3), X1(4), X1(5), X1(6), X1(7), (b) x2(0), X2(1), X2(2), X2(3), X2(4), X2(5), X2(6), X2(7), (c) X(0), X(1), X(2), X(3), X(4), X(5), X(6), X(7).

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