A band pass random process has power spectral density S(f) = II (f - 10/4) + II

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A band pass random process has power spectral density S(f) = II (f - 10/4) + II (f + 10/4).

(a) Find its auto correlation function.
(b) It is to be represented in in phase quadrature form; that is, x(t) = nc (t) cos (2πf0t + θ) - ns (t) sin (2πf0t + θ). If f0 is chosen as 10 Hz, what is the cross-spectral density, Sncn(f)?

(c) If f0 is chosen as 8 Hz, what is the cross-spectral density, Sncn(f)?

(d) If f0 is chosen as 12 Hz, what is the cross-spectral density, Sncn(f)?

(e) What is the cross-correlation function corresponding to part (c)?
(f) What is the cross-correlation function corresponding to part (d)?

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