Question
A modulating signal is a square wave, as shown in Fig.

The carrier wave is given by $c(t) = 2\sin (8\pi t)$ volts.
  1. Sketch the amplitude modulated waveform,
  2. What is the modulation index?

Answer

  1. The amplitude modulated waveform is given by superimposition of modulating signal on carrier wave and is shown below:
  1. We have,
$A_m = 1V, A_c = 2V$.
Therefore, modulation index is given by,
$\mu=\frac{\text{A}_{\text{m}}}{\text{V}_\text{C}}=\frac{1}{2}=0.5$

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