Multiple choice

It is desired to generate a stochastic process (as voltage process) with power spectral density S ($\omega$) = $\dfrac{16}{16 + \omega^2}$ by driving a linear-time-invariant system by zero mean white noise (as voltage process) with power spectral density being equal to 1. It refers to wide sense stationary stochastic processes.

What would be the parameters of the system obtained?

  1. First order R-L lowpass filter would have R = 4$\Omega$ and L = 4 H.
  2. First order R-C highpass filter would have R = 4$\Omega$ and C = 0.25 F.

  3. Tuned L-C filter would have L = 4 H and C = 4 F.
  4. Series R-L-C lowpass filter would have R = 1$\Omega$, L = 4H and C = 4F.
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