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If fm is modulating frequency and mf is modulation index, then by the Carson's rule, the bandwidth of an FM signal at the input of a conventional discriminator will be:

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  1. 2 fm (mf +1) Hz
  2. 2 fm (mf -1) Hz
  3. fm (2mf +1) Hz
  4. fm (2mf -1) Hz

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Option 1 : 2 fm (mf +1) Hz
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The number of sidebands (lower or upper) considered is (1 + β).

Since sidebands are separated by message signal bandwidth .

The bandwidth taken by sidebands on one side of carrier is .

Considering both sidebands, the band width comes to be .

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