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GATE ECE 2006 | Question-81

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

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

  1. $\frac{25}{8 \mathrm{N}_{0} \mathrm{B}}$
  2. $\frac{25}{4 \mathrm{N}_{0} \mathrm{B}}$
  3. $\frac{25}{2 \mathrm{N}_{0} \mathrm{B}}$
  4. $\frac{25}{\mathrm{N}_{0} \mathrm{B}}$
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