Response to the following problem:
The input X(t) in the circuit shown in Figure is a stochastic process with E[X(t)] = 0 and RX (τ ) = σ2δ(τ ); i.e., X(t) is a white noise process.
a. Determine the spectral density SY( f ).
b. Determine RY(τ ) and E[Y2(t)].
