Thermal noise is passed through an ideal low-pass filter having a 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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Triangular function over the range $- \frac{1}{2}\omega \le t \le \frac{1}{2}\omega$

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A delta function at t = 0

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Gaussian over the range −∞ ≤ t ≤ ∞

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sinc function over the range -∞ ≤ t ≤ ∞

1.	Thermal noise is passed through an ideal low-pass filter having a 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.	sinc function over the range -∞ ≤ t ≤ ∞
D.	Triangular function over the range \(- \frac{1}{2}\omega \le t \le \frac{1}{2}\omega\)
Answer» D. Triangular function over the range \(- \frac{1}{2}\omega \le t \le \frac{1}{2}\omega\)

Thermal noise is passed through an ideal low-pass filter having a 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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