EC > GATE 2019 > Discrete-time signals and systems
Consider a six-point decimation-in-time Fast Fourier Transform (FFT) algorithm, for which the signal-flow graph corresponding to X[1] is shown in the figure. Let W6=exp(-j2π/6). In the figure, what should be the values of the coefficients a1, a2, a3 in terms of W6 so that X[1] is obtained correctly?
A
a1=-1, a2=W6, a3=W62
B
a1=1, a2=W62, a3=W6
C
a1=1, a2=W6, a3=W62
D
a1=-1, a2=W62, a3=W6

Correct : c

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decimation-in-time FFT six point decimation FFT GATE EC 2019 FFT algorithm signal flow graph decimation FFT GATE electrical engineering coefficients FFT decimation FFT coefficients

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