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Question

A message signal m(t) = sinc(1000t) V is applied to an FM modulator, whose frequency Sensitivity is kf=1kHz/V. The modulation index (or deviation ratio) of the resultant FM signal will be

A
1
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B
4
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C
3
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D
2
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Solution

The correct option is D 2
The deviation ratio, D=Δffm(max)

Maximum frequency deviation,

Δf=kf|m(t)|max

Given that, m(t)=sinc(1000t)V

kf=1kHz/V

fm(max)=10002=500Hz

|m(t)|max=1

So, D=1(1000)500=2

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