Question

Thermal noise is passed through an ideal low pass filter having cut off at fc = ω Hz. The auto-correlation value of the noise at the output of the filter is given as

a.

a delta function at t = 0

b.

gaussian over the range -∞ ≤ t ≤ ∞

c.

sin c function over the range -∞ ≤ t ≤ ∞

d.

none of the above

Answer: (c).sin c function over the range -∞ ≤ t ≤ ∞

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Q. Thermal noise is passed through an ideal low pass filter having cut off at fc = ω Hz. The auto-correlation value of the noise at the output of the filter is given as

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