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Consider a narrowband FM signal approximately defined by s

Consider a narrowband FM signal approximately defined by s

Consider a narrowband FM signal approximately defined by s (t) = Ac cos (2pA?ct) – ßAc sin (2pA?ct) sin (2pA?mt)
(a) Determine the envelope of this modulated signal. What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus ß, assuming that ß is restricted to the interval 0 < ß=””><>
(b) Determine the envelope of this modulated signal. What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus ß, assuming that ß is restricted to the interval 0 < ß=””><>
(c) By expanding the angle ?i (t) of the narrow-band FM signal s (t) in the form of a power series, and restricted the modulation index ß to a maximum value of 0.3 radians, show that. What is the power ratio of third harmonic to fundamental component for ß = 0.3?

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