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Question

What should be the transmission bandwidth if an FM signal with 75kHz deviation and highest frequency of modulation 15kHz?

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Solution

Frequency deviation, f = 75kHz
Highest frequency of modulation,fm = 15kHz
The bandwidth occupied by the spectrum, BW=2nfm where n is the highest order of the significant side-band.
However, approximate expression for spectrum band width is
BW=2(1+mf)fm
=(1+ffm)fm=2(f+fm)=2(75+15)=180kHz

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