Show that the dsbam-tc modulation system defined by the

Question

Question: 1. Show that the DSBAM-TC modulation system defined by the input/output relation is not a linear system. Also show that it is not a time-invariant system.

DSBAM-TC definition

y(t) = [C + x(t)]cos(ω_ct)

2. Show that Xe^{(jω^)} is periodic in ω^ with period 2π, and show that Xe(^jωT_s) is periodic in ω with period 2π/Ts.