EC > GATE 2019 > Power Spectral Density
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 Sx(f)=5 W/Hz. The filter h(t) has a magnitude response given by |H(f)|=0.5 for -5≤f≤5 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).

Correct : 17.5

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random process Y(t) white noise process GATE EC 2019 power spectral density EC filter magnitude response stationary random process Y(t) power EC GATE 2019 power spectral density EC image

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