According to Carson’s rule, Bandwidth B and modulating frequency fm are related as
Question
According to Carson’s rule, Bandwidth B and modulating frequency fm are related as
Solution
Carson's rule is a rule used in frequency modulation (FM) and phase modulation theory. According to Carson's rule, the total bandwidth (B) required for frequency modulation is approximately equal to twice the sum of the peak frequency deviation (Δf) and the maximum modulating frequency (fm).
Mathematically, this can be expressed as:
B ≈ 2(Δf + fm)
Where:
- B is the total bandwidth
- Δf is the peak frequency deviation
- fm is the maximum modulating frequency
This rule provides a simple and somewhat conservative estimate
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