Consider a message signal m(t) = cos(2*pie*10t)volts(1), carrierc(t) = cos(2*pie*100t) V(1). In this case, we have x(t)=[m(t) + 2]c(t), (DSB-LC).

a. Sketch x(t)

b. Use MATLAB to validate your sketch from a.

c. Sketch X (f)

d.Sketch the power spectral density (PSD), Sx(f), and specify units. Recall that if a frequency spectrum is made of Dirac deltas, the corresponding PSD is found by squaring the areas of the deltas (same basic plot).

e. What is the modulation index?

f. What is the efficiency ŋ (ratio of side band power to total power).