A message signal m(t) = sinc(1000t) V is applied to an FM modulator, whose frequency Sensitivity is $k_{f} = 1 k H z / V$ . The modulation index (or deviation ratio) of the resultant FM signal will be

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Solution

The correct option is D 2
The deviation ratio, $D = \frac{Δ f}{f_{m (m a x)}}$

Maximum frequency deviation,

$Δ f = k_{f} | m (t) |_{m a x}$

Given that, $m (t) = s i n c (1000 t) V$

$k_{f} = 1 k H z / V$

$f_{m (m a x)} = \frac{1000}{2} = 500 H z$

$| m (t) |_{m a x} = 1$

So, $D = \frac{1 (1000)}{500} = 2$

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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

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A message signal m(t) = sinc(1000t) V is applied to an FM modulator, whose frequency Sensitivity is $k_{f} = 1 k H z / V$ . The modulation index (or deviation ratio) of the resultant FM signal will be