Answer to Question #90178 in Electrical Engineering for Shivam Nishad

Question #90178
Derive mathematical expression of an A.M. wave and indicate the sideband components. Why is the S.S.B. transmission beneficial ?
1
Expert's answer
2019-06-10T04:56:39-0400

Modulation is a technique which modifies waves of high frequency by the wave of low frequency.

Consider the carrier signal:


the modulating signal:


and the signal after modulation look like


Putting this all together gives


Now multiply the terms with cosines by :


and substitute with - the amplitude modulation index.


The sideband components are


and

The single-sideband transmission reduces the bandwidth transmitted and it allows to double the number of channels within the same frequency band.


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