2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude...

2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude modulation frequency of ωm << ωc,

E(t) = E0[1 + A sin(ωmt)] sin(ωct)

Show that this is the sum of a wave at the carrier frequency, the lower sideband (ωL = ωc−ωm), and the upper (high) sideband (ωH = ωc + ωm). What total bandwidth is required if the radio station wants to broadcast music that contains modulation frequency components from 20 to 10,000 Hz?

Expert Solution

If we have f1, f2 and f3 base band frequency signals in amplitude modulation and f1<f3<f2 then,

Band width of amplitude modulated signal is given by,

Band width of AM signal=2× highest of baseband frequencies

BW=2×f2 ....... (here f2 is the highest baseband frequency)If you have any doubt, you can ask in the comment box.

genius_generous answered 2 years ago

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