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I have stumpled upon the following expression for the correlation function of the photocurrent shot noise for a photodiode

[tex]

<\delta i(t)\delta i(t+\tau)> = \frac{e^2\eta}{h\nu}P\delta(\tau)

[/tex]

where η is the quantum efficiency and P the power in the signal. δ(τ) denotes the Dirac delta, which makes good sense as shot noise is white noise. However I am unsure of how the prefactor is derived. Can anyone point me in the right direction?

Best,

Niles.