engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Random Processes Correlation and Power Spectral Density
Consider the random process x(t) = (A + 1) cos (ωt) + (B + 1) sin (ωt), where A and B are independent random variables, both having zero mean and unit variance. Then the autocorelation function RXX (t1, t2) is ______
1
\(2\cos (\omega t_1)\cos(\omega t_2)+2\sin(\omega t_1)\sin(\omega t_2)+4\cos(\omega t_1)\cos(\omega t_2)\sin(\omega t_1)\sin(\omega t_2)\)
2
\(2\sin \omega(t_1-t_2)+2\cos \omega (t_1-t_2)\)
3
\(2\cos (\omega t_1)\cos(\omega t_2)+\sin(\omega t_1)\cos(\omega t_2)+\cos(\omega t_1)\sin(\omega t_2)+2\sin(\omega t_1)\sin(\omega t_2)\)
4
0