Official PYQ · 2019Set 1 · Q28Discrete-time SignalsMCQ2 marks

GATE EC 2019 Set 1 Q28 — Discrete-time Signals

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 $W_{6}=exp\left(-\:\dfrac{j2\pi}{6}\right).$ In the figure, what should be the values of the coefficients $a_{1},a_{2},a_{3}$ in terms of $W_{6}$ so that $X[1]$ is obtained correctly?

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Published 10 Oct 2026

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