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Consider an FM signal f(t) = cos[2πf_c t + β1 sin 2πf1 t + β2 sin 2πf2 t]. The maximum deviation of the instantaneous frequency from the carrier frequency f_c is

1. β1f1 + β2f2
2. β1f2 + β2f1
3. β1 + β2
4. f1 + f2

Correct answer: β1f1 + β2f2

Solution

The maximum deviation of the instantaneous frequency in an FM signal is determined by the modulation indices and their respective frequencies. In this case, the deviation is calculated as the sum of the products of each modulation index (β1 and β2) with their corresponding frequencies (f1 and f2), leading to the correct expression β1f1 + β2f2.

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