Official PYQ · 2023Set 1 · Q37Discrete-time SignalsMCQ2 marks

GATE EC 2023 Set 1 Q37 — Discrete-time Signals

Consider a discrete-time periodic signal with period $N=5$ . Let the discrete-time Fourier series $\text{(DTFS}$ ) representation be $x[n]=\sum_{k=0}^4 a_k e^{\frac{j k 2 \pi n}{5}}$ , where $a_0=1, a_1=$ $3 j, a_2=2 j, a_3=-2 j$ and $a_4=-3 j$ . The value of the sum $\sum_{n=0}^4 x[n] \sin \frac{4 \pi n}{5}$ is

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Published 10 Oct 2026

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