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GATE EC 2023 Set 1 — Question 59

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NAT+2 / -0MediumFiltering Through LTI SystemsRandom ProcessesCommunicationsWhite Noise Properties

Communications → Random Processes → Filtering Through LTI Systems

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Question

Let X(t)X(t) be a white Gaussian noise with power spectral density 12\frac{1}{2} W/Hz. If X(t)X(t) is input to an LTI system with impulse response e−tu(t)e^{-t}u(t). The average power of the system output is ___________ W (rounded off to two decimal places).
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