Let the Fourier transform of x(t) is given by X(f) = a, 8 (-400n) n=0 an 2, 4, n=1 3. n=12 (0, otherwise Let x(t) in Eq.

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Let The Fourier Transform Of X T Is Given By X F A 8 400n N 0 An 2 4 N 1 3 N 12 0 Otherwise Let X T In Eq 1 (30.17 KiB) Viewed 21 times

Let the Fourier transform of x(t) is given by X(f) = a, 8 (-400n) n=0 an 2, 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(800mt) and the output of the filter defines the message signal m(t). (a) (20 pts) Show X(), x(c), the filter response H(f), and the output of the filter in both time m(t) and frequency MS domains. (b) (10 pts) Let m(t) is applied to the input of the conventional Amplitude modulator with the modulation index = 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).