Let the Fourier transform of x(t) is given by xe = 80 - 1007) 11=-6 2₁ n=0 an= 4, n = ±1 3. n = 12 (0, otherwise Let x (

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Let The Fourier Transform Of X T Is Given By Xe 80 1007 11 6 2 N 0 An 4 N 1 3 N 12 0 Otherwise Let X 1 (32.24 KiB) Viewed 28 times

Let the Fourier transform of x(t) is given by xe = 80 - 1007) 11=-6 2₁ n=0 an= 4, n = ±1 3. n = 12 (0, otherwise Let x (t) in Eq.'s (1) is applied to the input of the filter h(t) = 800sinc²(400mt) cos(800rt) and the output of the filter defines the message signal m(t). (a) (20 pts) Show X(), 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).