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Counter-Strike: Source (2004)

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The modulated signal \( c_{m}(t) \) can be written as
\[
\begin{aligned}
c_{m}(t) & =\left(A_{c}+A_{m} \sin \omega_{m} t\right) \sin \omega_{c} t \\
& =A_{c}\left(1+\frac{A_{m}}{A_{c}} \sin \omega_{m} t\right) \sin \omega_{c} t
\end{aligned}
\]
Here, \( \mu=\frac{A_{m}}{A_{c}} \) is the modulation index; in practice \( \mu \) is kept \( \leq 1 \) to avoid distortion.
\[
\text { Now, } \begin{array}{l}
c_{m}(t)=A_{c} \sin \omega_{c} t+\frac{\mu A_{c}}{2} \cos \left(\omega_{c}-\omega_{m}\right) t \\
-\frac{\mu A_{c}}{2} \cos \left(\omega_{c}+\omega_{m}\right) t
\end{array}
\]
Here, \( \omega_{c}-\omega_{m} \) and \( \omega_{c}+\omega_{m} \) are respectively called the
lower side and upper side frequencies.
Amplitudes of frequency components are
(a) \( 10 \mathrm{~V}, 6 \mathrm{~V}, 8 \mathrm{~V} \)
(b) \( 10 \mathrm{~V}, 2 \mathrm{~V} \) and \( 2 \mathrm{~V} \)
(c) \( 8 \mathrm{~V}, 4 \mathrm{~V} \) and \( 2 \mathrm{~V} \)
(d) \( 8 \mathrm{~V}, 6 \mathrm{~V}, 2 \mathrm{~V} \)
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