(a) Show that for shot noise, y(t) = i F(t t i ), the spectral...
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(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
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)
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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