(a) Show that for shot noise, y(t) = ∑_i F(t − t_i), the spectral density S_y(f ) is given by Eq. (6.68b). Show that the relaxation time appearing in the correlation function is approximately the duration τ_p of F(t).

(b) Suppose the shapes of Fj (t − t_j) are all different instead of being identical but all last for times

and all have the same Fourier transform at zero frequency,

Show that the shot noise at frequencies f p is still given by Eq. (6.68c).

Data from Eqs. (6.68b) and (6.68c)

tp