GATE EC 2016 Set 1 — Question 33
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Communications → Analog Communications → AM Modulation & Demodulation
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Question
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal . The value of the modulation index is __________
Correct answer
0.49 to 0.51
Solution
The given AM signal is:
Standard expression for a single-tone AM signal is:
By comparing the terms:
Thus, the modulation index is .
Standard expression for a single-tone AM signal is:
By comparing the terms:
1.Carrier term: and .
2.Sideband terms: .
Substituting into the sideband equation:Thus, the modulation index is .
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