Determine the energy and power of the signals classify

Question

Exercise problems

1. Find the period of the following signals:
(a) x(t) = 2cos(4t + Π/3)
(b) x(t) = e^{j(Πt - 1)}
(c) x(t) = cos²(2t - Π/3)

2. Given x(t) in the figure, find x(t-2), x(-t), x(2-t), x(-t-2).

3. By using the properties of the impulse function, find the values of these expressions :
(a) x(t) = cos(2t + Π/3)δ(t)
(b) x(t) = cos(t)δ(3t + 1)

4. Determine the energy and power of the following signals. Classify these signals into energy-type signals and power-type signals, and signals.
(a) x(t) = e^-2tu(t)
(b) y(t) = Ae^j(2t+Π/4)
(c) z(t) = Acos(t)
(d) w(t) = u(t)