Official PYQ · 2023Set 1 · Q49Random ProcessesNAT2 marks

GATE EC 2023 Set 1 Q49 — Random Processes

Let $X(t)$ be a white Gaussian noise with power spectral density $\frac{1}{2} \mathrm{~W} / \mathrm{Hz}$ . If $X(t)$ is input to an LTI system with impulse response $e^{-t} u(t)$ . The average power of the system output is _____________ $\mathrm{W}$ (rounded off to two decimal places).

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Answer: 0.24:0.26

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Published 10 Oct 2026

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