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Official PYQ · 2006

GATE EC 2006 Set 1 Q81 — Analog Communications

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Statement for Linked Answer Questions 80 and 81
Consider the following Amplitude Modulated (AM) signal, where fm<Bf_{m}<\mathrm{B}
xAM(t)=10(1+0.5sin⁡2πfmt)cos⁡2πfctx_{\mathrm{AM}}(t)=10\left(1+0.5 \sin 2 \pi f_{m} t\right) \cos 2 \pi f_{c} t

The AM\text{AM} signal gets added to a noise with Power Spectral Density Sn(f)S_{n}(f) given in the figure below. The ratio of average side-band power to mean noise power would be

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Answer: B

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