For each case given below, tell whether the given function can be a satisfactory auto correlation function.

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For each case given below, tell whether the given function can be a satisfactory auto correlation function. If it is not satisfactory, give the reason(s).

(a) Ra (τ) = II (τ/τ0) where τ0 is a constant;

(b) Rb (τ) = A (τ /τ0) where τ0 is a constant;

(c) Rc (τ) = A cos (2πf0τ) where A and f0 are constants;

(d) Rd (τ) = A + B cos (2πf0τ) where A, B, and f0 are constants;

(e) Re (τ) = A sin (2πf0τ) where A and f0 are constants;

(f) Rf (τ) = A sin2 (2πf0τ) where A and f0 are constants;

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