engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Random Processes Transmission of Random Processes Through Linear Systems
Let X(t) be a wide sense stationary random process zero mean and Sx× (f) has power spectral density as shown.
If x(t) is passed through an ideal differentiator circuit then the AC power in the output is:
1
\(\frac{{{\pi ^2}{N_0}{B^3}}}{3}\)
2
\(\frac{{2{\pi ^2}{N_0}{B^3}}}{3}\)
3
π2N0B3
4
\(\frac{4}{3}{\pi ^2}{N_0}{B^3}\)