Consider a six-point decimation-in-time Fast Fourier Transform (FFT) algorithm, for which the signal-flow graph corresponding to X[I] is shown in the figure. Let $${W_6} = \exp \left( { - \frac{{j2\pi }}{6}} \right).$$ In the figure, what should be the values of the coefficients a1, a2, a3 in terms of W6 so that X[I] is obtained correctly?
A. $${a_1} = 1,{a_2} = W_6^2,{a_3} = {W_6}$$
B. $${a_1} = - 1,{a_2} = W_6^2,{a_3} = {W_6}$$
C. $${a_1} = - 1,{a_2} = {W_6},{a_3} = W_6^2$$
D. $${a_1} = 1,{a_2} = {W_6},{a_3} = W_6^2$$
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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