Frequency ModulationHardQuestion 20293
Question
By Bessel function analysis, an FM signal with β = 2.4 theoretically has how many significant sidebands on each side?
- A1
- B2
- C4Correct
- D6
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.