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Question
Audio sine waves of 3 kHz frequency are used to amplitude modulate a carrier signal of 1.5 MHz. Which of the following statements are true?
- The sideband frequencies are 1506 kHz and 1494 kHz.
- The bandwidth required for amplitude modulation is 6 kHz.
- The bandwidth required for amplitude modulation is 3 MHz.
- The side band frequencies are 1503 kHz and 1497 kHz.
Options
a and b
b and d
c and a
b and c
Solution
b and d
Explanation:
LSB = `(ω_c) = (ω_m)`
= `1.5 xx 10^6 - 3 xx 10^3`
= 1497 kHz
And USB = `(ω_c) + (ω_m)`
= 1503 kHz
Bandwidth required = USB – LSB = `2ω_m`
= `2 xx 3 kHz`
= 6 kHz
Also,bandwidth = 2fm = 2 × 3 = 6 KHz
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