7.4 Two stationary random processes X1 (t) and X2(t) have the following power sp

Question

7.4 Two stationary random processes X1 (t) and X2(t) have the following power spectra Sx1 (w) = w^2 +1/w^4 + 5w^2 + 6 Sx2 (w) = 10 pi sigma(w) + 12/9 + w^2 + 6/9 +(w -4^2) + 6/ 9 + (w + 4^2) Find their average powers, respectively. 7.5 For two random processes X(t) = 5 sin(w0t + theta) + 10 and Y(t) = 2 cos(w0t + theta), where w0 is a nonrandom positive number and theta U(pi/4, 9pi/4), form a new random process Z(t) = X(t)+ Y(t). Find (a) average power of X(t), Y(t), and Z(t) (b) power spectra of X(t), Y(t), and Z(t).

Explanation / Answer

u had to relate the two spectas

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