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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)= Asin ωCt    [ A c - Amplitude of carrier wave ]

and the information message (modulating wave) may be represented as

m(t) = A sin ωt  [ -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
 
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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.
 
 
This difference in frequency components are known as the bands. The frequency spectrum of AM signal is shown in the figure above.
Answered by | 08 Jul, 2014, 02:59: PM
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