Consider the AM signal s (t) = Ac [1 + μ cos (2πA?mt)]

Consider the AM signal s (t) = Ac [1 + μ cos (2πA?mt)]

Consider the AM signal s (t) = Ac [1 + Âľ cos (2pA?mt)] cos (2pA?ct) produced by a sinusoidal modulating signal of frequency A?m. Assume that the modulation factor Âľ = 2, and the carrier frequency A?c is much greater than A?m. 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)?