(a) Show that for shot noise, y(t) = i F(t t i ), the spectral...

Question:

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


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


image


and all have the same Fourier transform at zero frequency,


image


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



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


image


image

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: