A photodiode's bias-current fluctuation produces a noise voltage whose one-sided…

PHYSICS · Subjective · Fermi University Physics · Electronics, Instrumentation & Communication · Feedback, operational amplifiers and analogue signal processing · Feedback, operational amplifiers and analogue signal processing

Inside the Instrument, Ch Noise sources and amplifier noise

Problem

A photodiode's bias-current fluctuation produces a noise voltage whose one-sided spectral density is Lorentzian,

S(f) = \frac{S_0}{1 + (f/f_c)^2}

with low-frequency value

S_0 = 1.0\times10^{-16}\,\mathrm{V^2/Hz}

and corner frequency

f_c = 10\,\mathrm{kHz}

(so

f_c = 1/2\pi\tau_c

for the underlying exponentially correlated process). Find the rms value

\sigma

of the voltage fluctuation.

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