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According 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?

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  1. 30 kHz
  2. 20 kHz
  3. 10 kHz
  4. 16 kHz

Answer (Detailed Solution Below)

Option 4 : 16 kHz
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Explanation:

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.

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