GATE 2019 EC – Question 55

Let a random process $Y(t)$ be described as $Y(t)=h(t)*X(t)+Z(t)$, where $X(t)$ is a white noise process with power spectral density $S_X(f)=5$ W/Hz. The filter $h(t)$ has a magnitude response given by $|H(f)|=0.5$ for $-5\le f\le5$, and zero elsewhere. $Z(t)$ is a stationary random process, uncorrelated with $X(t)$, with power spectral density as shown in the figure. The power in $Y(t)$, in watts, is equal to ________ W (rounded off to two decimal places).