Problem 2 (24 points). The information signal m(t) = 0.5cos(2000xt) is to be AM L-C

modulated. Specifically, AM(t)= [1+3m(t)] cos(et), where the carrier frequency is 3

MHz. Hint, think about what you did in your computer simulation of AM LC.

a. Determine the modulation index.

b. Determine the total power of the modulated signal, z(t)

c. Sketch the spectrum of z(t) including amplitudes.

d. If you demodulated z(t) with an envelope detector, carefully sketch the output

of the detector.

e. What is the percentage of the total power in the information-carrying portion of the

signal AM(1)?

f. If you demodulated the signal AM(t) coherently, carefully sketch the output of the

demodulator.