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 $\text{AM}$ 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
- $\frac{25}{8 \mathrm{N}_{0} \mathrm{B}}$
- $\frac{25}{4 \mathrm{N}_{0} \mathrm{B}}$
- $\frac{25}{2 \mathrm{N}_{0} \mathrm{B}}$
- $\frac{25}{\mathrm{N}_{0} \mathrm{B}}$