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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, $f_{m}$ = 15kHz
The bandwidth occupied by the spectrum, ${B W = 2 n f}_{m}$ where n is the highest order of the significant side-band.
However, approximate expression for spectrum band width is
${B W = 2 (1 + m_{f}) f}_{m}$
$= (1 + \frac{△ f}{f_{m}}) f_{m} = 2 (△ f + f_{m}) = 2 (75 + 15) = 180 k H z$

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