X(t) is a stationary random process with autocorrelation function Rx(T) = e-|τ |. This process is passed through the shown below.
It is given that h1(t) is a differentiator and the impulse response of h2(t) is e-2t
Which of the following statement is/are correct?
1
Power spectral density at output : SY(f) = 2/ (1 + π2f2)
2
Auto correlation at output: RY( τ ) = 2e-2|τ |
3
Power spectral density at output : SY(f) = 1/ (1 + π2f2)
4
Auto correlation at output: RY( τ ) = e-4|τ |