Q106
Determine the bandwidth of the FM signal for 5kHz audio signal modulated by a carrier of 50 MHz causing a frequency deviation of 25 kHz?
A.
60 kHz
AnswerB.
90 kHz
C.
30 kHz
D.
80 kHz
Answer: Option A
Solution
Answer: Option A
Solution:
In Frequency Modulation (FM), the bandwidth of the signal is determined by Carson's Rule. Carson's Rule states: Bandwidth (BW) ≈ 2 * (Δf + fm), where:
Δf is the frequency deviation, which is 25 kHz in this case.
fm is the highest frequency in the modulating signal, which is 5 kHz in this case.
Plugging in the values: BW ≈ 2 * (25 kHz + 5 kHz).
BW ≈ 2 * (30 kHz).
BW ≈ 60 kHz.
Therefore, the bandwidth of the FM signal is approximately 60 kHz.