GATE Electronics and Communications (EC) 2018 Solved Paper

Consider a white Gaussian noise process N(𝑡) with two-sided power spectral density S_N(f) = 0.5 W/Hz as input to a filter with impulse response $0.5{\mathit{e}}^{-{\mathit{t}}^2∕2}$(𝑡 is in seconds) resulting in output Y(t). The power in Y(t), in watts, will be: