In: Computer Science
Develop the 8-point Discrete Fourier Transform (DFT) using butterfly diagrams for the discrete input sequence x(n) = {1, 2, 3, 4, 4, 3, 2, 1} using radix-2 Decimation in Frequency - Fast Fourier Transform (DIF-FFT) algorithm.


So DIF for x(n)
X(n) = {20 , -5.828-2.414j , 0 , -0.172-0.414j , 0 , -0.172+0.414j , 0 , -5.282+2.414j}