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What bandwidth is needed for an FM signal that has a peak deviation of +3 kHz and handles audio signals from 200 Hz to 5 kHz ?

What bandwidth is needed for an FM signal that has a peak deviation of +3 kHz and handles audio signals from 200 Hz to 5 kHz ? Correct Answer 10 kHz

Concept:

According to Carson’s rule, if β>1

BW is given by

BW = 2(β + 1)fm 

Where,

 fm = highest modulating frequency

Δ­­f = β.fm

Where,

 Δf  = peak deviation and

 β = Modulation index of FM

if β<1 then it is called NBFM and for NBFM bandwidth is 2fm.

Calculation:

Given:

Δf  = 3 kHz, fm = 5 kHz

therefore β = 0.6 which is less than one. hence the given signal is NBFM

so  B.W = 2fm which is equal to 10K Hz.

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