Consider the AM signal s (t) = A c [1 + cos (2 m t)] cos

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Consider the AM signal s (t) = Ac [1 + μ cos (2πƒmt)] cos (2πƒct) produced by a sinusoidal modulating signal of frequency ƒm. Assume that the modulation factor μ = 2, and the carrier frequency ƒis much greater than ƒm. The AM signal s (t) is applied to an ideal envelope detector, producing the output v (t).

(a) Determine the Fourier series representation of V (t).

(b) What is the ratio of second-harmonic amplitude to fundamental amplitude in v (t)?

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