JEE Physics · Hard

Principles of Communication: Frequency Modulation MCQ

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Frequency ModulationHardQuestion 20293

Question

By Bessel function analysis, an FM signal with β = 2.4 theoretically has how many significant sidebands on each side?
  1. A
    1
  2. B
    2
  3. C
    4
    Correct
  4. D
    6

Correct answer

4

Explanation

For FM modulation index β, the number of significant sideband pairs is approximately β + 1 to β + 2 from Bessel function analysis. For β = 2.4, significant sidebands extend to n = 4 (J₁ through J₄ are significant). Bandwidth = 2 × 4 × fm (exact) vs. Carson's rule 2(Δf + fm) = 2(2.4+1)fm = 6.8fm ≈ 2×4fm.