How can an amplitude modulated wave be generated ?

Explanation

The modulated signal `A_(m) sin omega_(m) t` is added to the carrier wave signal `A_(c) sin omega_(c) t` to produce the signal x (t) .
`x (t)= A_(m) sin omega_(m) t + A_(c) sin omega_(c) t` is passed through a square law device produces an output
`y (t) = Bx(t) + Cx^(2) (t)`
where B and C are constant .
This signal is passed through a band pass filter . The output of band pass filter produces AM wave . In band pass filter dc and the sinusoidal frequencies `omega_(m) , 2 omega_(m) and 2 omega_(c)` rejects and retains the frequency `omega_(c) , (omega_(c) - omega_(m) and (omega_(c) + omega_(m))` .