Consider an AM signal with multi-tone modulation where the modulation signal m(t) is given by:
m(t) = 2 sin(3ωmt)
and the carrier c(t) is given by:
c(t) = 3 cos(ωct), where ωc ≠ ωm.
Find an expression for SAM(t) with ka = 0.2 and determine the modulation index.