(a) Write the expression for the auto correlation function R, (t) of the white noise (b) Write the expression for the power spectral density of the noise at the outpe of the amplifier. (c) Write the expression for the auto correlation of the output noise in (b).

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3 White noise with the two sided spectral density n/2 is passed through a low-pass
RC network with time constant t = RC and there after through an ideal amplifier:
with voltage gain of 10.
(a) Write the expression for the auto correlation function R, (t) of the'white noise.
(b) Write the expression for the power spectral density of the noise at the output
of the amplifier.
(c) Write the expression for the auto correlation of the outpút noise in (b).
Transcribed Image Text:3 White noise with the two sided spectral density n/2 is passed through a low-pass RC network with time constant t = RC and there after through an ideal amplifier: with voltage gain of 10. (a) Write the expression for the auto correlation function R, (t) of the'white noise. (b) Write the expression for the power spectral density of the noise at the output of the amplifier. (c) Write the expression for the auto correlation of the outpút noise in (b).
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