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Determine the bandwidth occupied by a sinusoidal frequency modulated carrier for which the modulation index is 2.4

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  1. 4.8 fm
  2. 6.8 fm
  3. 2.4 fm
  4. 3.8 fm

Answer (Detailed Solution Below)

Option 2 : 6.8 fm
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Detailed Solution

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Concept:

According to Carson rule signal, BW is given as:

B.W = (β + 1) 2fm

\(\becauseβ=\frac{Δf}{f_m} \)

B.W. = 2[Δf + fm]          

If multiple frequencies are available in modulating signal then,

B.W. = 2(β + 1) fmax 

Calculation:

Given: β = 2.4

B.W = (β + 1) 2fm

B.W. = 2fm (2.4 + 1)

BW = 6.8fm

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