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GATE 2021 EC – Question 31

Communications · Random Processes · 1 mark · Numerical answer

The autocorrelation function $R_X(\tau)$ of a wide-sense stationary random process $X(t)$ is shown in the figure.

The average power of $X(t)$ is ________.

Diagram for GATE 2021 EC question 31

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Correct answer: 2

Explanation

The average power of a WSS process equals its autocorrelation at zero lag, $P=R_X(0)$. The triangle in the figure peaks at $2$ for $\tau=0$, so $P=2$.