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When noise is passed through a narrow band filter, the output of filter should be?

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When noise is passed through a narrow band filter, the output of filter should be?

(a) triangular

(b) square

(c) parabolic

(d) sinusoidal

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This intriguing question comes from Generation of DSBSC Waves in portion Double Sideband Suppressed Carrier Modulation of Analog Communications

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The correct choice is (d) sinusoidal

For explanation I would say: Narrow band filter is used to isolate a narrow band of frequencies from a wider bandwidth signal. It is a combination of band pass and band reject filter. When noise gets passed through it, the output of it should be sinusoidal.

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