Amplitude ModulationHardQuestion 20291
Question
An AM signal is represented as v(t) = A_c(1 + μ cos ω_m t)cos ω_c t. The three frequency components present are:
- Aω_c only
- Bω_m and ω_c only
- Cω_c, ω_c + ω_m, and ω_c − ω_mCorrect
- Dω_m, ω_c + ω_m, and ω_c − ω_m
Correct answer
ω_c, ω_c + ω_m, and ω_c − ω_m
Explanation
Expanding: v(t) = Accos ωct + (μAc/2)cos(ωc+ωm)t + (μAc/2)cos(ωc−ωm)t. Three components: carrier (ωc), upper sideband (ωc+ωm), lower sideband (ωc−ωm). The message frequency ωm itself does NOT appear.