Official PYQ · 2026Set 1 · Q27Continuous-time SignalsMCQ2 marks

GATE EC 2026 Set 1 Q27 — Continuous-time Signals

The continuous time signal $x(t)$ is real, periodic with period $T$ and satisfies the Dirichlet conditions.

The Fourier series representation of $x(t)=\sum_{-\infty}^{\infty} a_{n} e^{j\left(\frac{2 \pi n t}{T}\right)}$ and $x(t)$ satisfies the following: $x\left(t-\frac{T}{2}\right)=-x(t)$ .

For any integer $m$ , which of the following options is correct?

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Answer: A

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Published 10 Oct 2026

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