Consider the system shown in Figure SP13.36. (a) What is the transfer function for the system (H(omega)=frac{X(omega)}{F(omega)})

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Consider the system shown in Figure SP13.36.

(a) What is the transfer function for the system \(H(\omega)=\frac{X(\omega)}{F(\omega)}\) ?

(b) Determine \(|H(\omega)|\).

(c) The system is subject to ideal white noise. What is the power spectral density of the input?

(d) What is the power spectral density of the output?

(e) Determine the mean square response of the system.

(f) If the mean of the response is zero, what is the standard deviation of the response?

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