5. (20 points) Suppose that a DFT, X = [ 36.0000 + 0.0000i -1.0000 - 2.4142i 8.0000 + 8.0000i -1.0000 - 0.4142i 8.0000 +

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5 20 Points Suppose That A Dft X 36 0000 0 0000i 1 0000 2 4142i 8 0000 8 0000i 1 0000 0 4142i 8 0000 1 (104.44 KiB) Viewed 24 times

5. (20 points) Suppose that a DFT, X = [ 36.0000 + 0.0000i -1.0000 - 2.4142i 8.0000 + 8.0000i -1.0000 - 0.4142i 8.0000 + 0.0000i -1.0000 + 0.4142i 8.0000 - 8.0000i -1.0000 + 2.4142i] is applied to the decimation in time (DIT) inverse fast Fourier transform (IFFT) calculator shown below. N = 8. Find the numerical values of X1(0), X1(1), X1(2), X1(3), X1(4), X1(5), X1(6), X1(7), X2(0), X2(1), X2(2), X2(3), X2(4), X2(5), X2(6), X2(7), x(0), x(1), x(2), x(3), x(4), x(5), x(6), x(7). X:(0) X:(0) XQ 1/8 x(0) X (1) X2(1) x(1) X(46 1/8 - 1 X1(2) X2(2) x(2) X(2 1/8 -1 X X1(3) X2(3) x(3) X(67 1/8 - 1 -1 X1(4) X2(4) x(4) 1/8 X(11 X1(5) X2(5) x(5) 1/8 X(5) -1 1 WN X16) X26) x(6) 1/8 X(3) -1 -1 WN X X1(7) X2(7) x(7) X(7) 1/8 -1 -1 -1 WN