Question

A carrier wave is modulated by a number of sine waves with modulation indices $m_{1}, m_{2}, m_{3}, \ldots, .$ The total modulation index $(m)$ of the wave is

• A. $m_{1}+m_{2}+m_{3}+\ldots$
• B. $m_{1}-m_{2}+m_{3}+\ldots$
• C. $\sqrt{m_{1}^{2}+m_{2}^{2}+m_{3}^{2}+\ldots}$
• D. $\sqrt{\frac{m_{1}^{2}+m_{2}^{2}+m_{3}^{2}+\ldots}{n}}$

Answer 1

Answer: (C)

Total modulation index of the wave
$m=\sqrt{m_{1}^{2}+m_{2}^{2}+m_{3}^{2}+\ldots}$