GATE ECE 2016 Set 3 | Question: 49

Question

A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autocorrelation function $R_Y(\tau)$ of the output $Y(t)$ is equal to

• A. $2R_X(\tau)+R_X(\tau-T_0)+R_X(\tau+T_0)$
• B. $2R_X(\tau)-R_X(\tau-T_0)-R_X(\tau+T_0)$
• C. $2R_X(\tau)+2R_X(\tau- 2T_0)$
• D. $2R_X(\tau)-2R_X(\tau- 2T_0)$