3. A modulator produces an output signal that is the modulated wave from the interaction between themodulating wave and the carrier, as indicated in the following block diagram:modulatorMODULATOROutput (modulated wave)o(t)Vm(t)=Amsen(mt)Carriervc(t)=Acsen(act)The output signal (modulated, AM) can be represented mathematically by the expression:PAM (t) = [Ac + Amsen(wmt)]sen(w_t)where the subscripts c and m are for carrier (carrier) and information (modulator), respectively. The maximumamplitudes of each wave are represented by the letter A. The amplitude of the modulator Am is usually replacedby mac to adjust the amplitude ratio between carrier and information, so that an adequate modulation index isobtained. Develop the operation indicated in the previous expression to AM.a. Write the name that corresponds to each term of the expanded expressionb. What is the amplitude of each of the sidebands as a function of the modulation index m and the amplitude ofthe carrier (Ctrl) ▼

Part(a) Write the name that corresponds to each term of the expanded expression. part(b) What is the…

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