Let the Fourier transform of x(t) is given by [an andf-400n) 8116 n=0 2, 4, n = ±1 3, n = 12 an = (0, otherwise Let x (t

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Let The Fourier Transform Of X T Is Given By An Andf 400n 8116 N 0 2 4 N 1 3 N 12 An 0 Otherwise Let X T 1 (1.05 MiB) Viewed 74 times

Let the Fourier transform of x(t) is given by [an andf-400n) 8116 n=0 2, 4, n = ±1 3, n = 12 an = (0, otherwise Let x (t) in Eq.'s (1) is applied to the input of the filter h(t) = 800sinc² (400nt) cos(800mt) and the output of the filter defines the message signal m(t). (a) (20 pts) Show X (f), x(t), the filter response H(f), and the output of the filter in both time m(t) and frequency M domains. (b) (10 pts) Let m(t) is applied to the input of the conventional Amplitude modulator with the modulation index μ = 0.5. Express the AM signal s(t) = (A + m(t)) cos(2000rt). Then, plot its spectrum S(f). (c) (5 pts) Compute the power efficiency of the AM signal s(t). X(f) =