GATE EC 2014 Set 2 — Question 33
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Communications → Analog Communications → AM Modulation & Demodulation
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Question
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index () when the maximum and minimum values of the envelope, respectively, are 3 V and 1 V, is ________.
Correct answer
0.45 to 0.55
Solution
The modulation index for an amplitude-modulated (AM) signal is calculated using the maximum () and minimum () values of the envelope as follows:Given:
V
VSubstituting these values into the formula:Thus, the modulation index is 0.5.
V
VSubstituting these values into the formula:Thus, the modulation index is 0.5.
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