Explain the process of amplitude modulation.

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#### Solution

**Amplitude Modulation:** Amplitude modulation is produced by varying the amplitude of the carrier waves in accordance with the amplitude of the modulating wave.

Let the carrier wave be c(t) = A_{c}sinω_{c}t and the modulating signal be m(t) = A_{m}sinω_{m}t where *ω*_{m }*= 2πf _{m} i*s the angular frequency of the message signal.

Modulated signal *c*_{m}(*t*) is

c_{m}(t)=(A_{c}+A_{m} sinω_{m}t)sinω_{c}t

where μ = A_{m}/A_{c }is the modulation index.

`c_m(t)=A_csinomega_ct+(muA_c)/2cos(omega_c-omega_m)t-(muA_c)/2cos(omega_c+omega_m)t`

ω_{c} - ω_{m} and ω_{c}+ω_{m} are the lower side and upper side frequencies, respectively.

**Production of Amplitude Modulated Wave**

Concept: Amplitude Modulation

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