Find the power spectral density of xt in terms of the


The output of an oscillator is described by

1724_Equation 4.jpg

where the amplitude A is constant, and F and Q are independent random variables. The probability density function of Q is defined by

1590_Equation 5.jpg

Find the power spectral density of X(t) in terms of the probability density function of the frequency F.

What happens to this power spectral density when the randomized frequency F assumes a constant value?

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