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In case of which of the following, an increase on the modulation index leads to increase in bandwidth
1. PM
2. FM
3. AM
4. Both (1) and (2)

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Correct Answer - Option 4 : Both (1) and (2)

For both frequency and phase modulation, an increase in modulation index results in an increase in transmission bandwidth.

For AM

the Modulation index is given by 

\(\mu = \frac{{{A_c}}}{{{A_m}}}\)

Bandwidth = 2 fm which is independent of modulation index

For PM

the Modulation index is given by 

\(\beta = {k_p}{A_m}\)

Bandwidth = 2 (1 +β ) fm 

bandwidth depends on modulation index β 

For FM,

modulation index

 \({\rm{\beta }} = \frac{{{{\rm{k}}_{\rm{f}}}{{\rm{A}}_{\rm{m}}}}}{{{{\rm{f}}_{\rm{m}}}}}\).

Bandwidth = 2 (1 +β ) fm 

bandwidth depends on modulation index β 

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