CBSE Class 12-science Answered
Analytically explain the process of amplitude modulation. What is the frequency spectrum of AM signal?
Asked by Topperlearning User | 08 Jul, 2014, 12:59: PM
Expert Answer
Let the carrier wave be represented by c(t)= Ac sin ωCt [ A c - Amplitude of carrier wave ]
and the information message (modulating wave) may be represented as
m(t) = A m sin ωm t [ A m -Amplitude of modulating wave]
where frequencies of the carrier wave and the message are 
and 
and νc and νm are their respective frequencies.
In Amplitude Modulation the amplitude of the carrier wave is controlled by modulating message, hence the modulated signal cm(t) may be written as
Here 
are respectively known as the lower side and the upper side band frequencies. So, it is clear that now the modulated signal consists of the original carrier wave of angular frequency 
plus two sinusoidal waves each with a frequency slightly different from and amplitude 
each.
are respectively known as the lower side and the upper side band frequencies. So, it is clear that now the modulated signal consists of the original carrier wave of angular frequency plus two sinusoidal waves each with a frequency slightly different from and amplitude each. 
This difference in frequency components are known as the bands. The frequency spectrum of AM signal is shown in the figure above.
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