1.

Define modulation index. Draw a plot of veriation of amplitude vs. omega for an amplitude modulated wave.

Answer»

Solution :If the EQUATION for this carrier wave is `V = V_(0) sin OMEGA t`, and that of the data signal is V = `V_(0) sin Omega t`, then the equation for the AMPLITUDE modulated wave would be,
`V_(m) = V_(0)( 1 + beta sin omega t) sin Omega t`
Here, modulation index,
`beta = k(v_(0))/(V_(0))`, k is a dimensionless CONSTANT
The veriation of the amplitude of this wave with the angular frequency `omega` of the data signal is shown in FIG. 1.18.


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