Question
Download Solution PDFAccording to Carson’s Rule, what is the approximate bandwidth required for a VHF/UHF two-way radio signal using FM with a 5 kHz maximum frequency deviation and a maximum audio frequency of 3 kHz?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Carson's Rule:
Carson's Rule is a mathematical formula used to estimate the bandwidth requirements for a frequency-modulated (FM) signal. According to Carson's Rule, the total bandwidth (BT) required for an FM signal can be approximated using the following formula:
BT = 2(Δf + fm)
Where:
- Δf = Peak frequency deviation of the carrier signal (in this case, 5 kHz)
- fm = Maximum modulating frequency (in this case, 3 kHz)
Using the given values:
- Δf = 5 kHz
- fm = 3 kHz
Applying these values to Carson's Rule:
BT = 2(5 kHz + 3 kHz) = 2(8 kHz) = 16 kHz
Therefore, the approximate bandwidth required for a VHF/UHF two-way radio signal using FM with a 5 kHz maximum frequency deviation and a maximum audio frequency of 3 kHz is 16 kHz.
Last updated on Jun 7, 2025
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