what is the the power of the signal

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Reference no: EM133273353

Question 1: Please answer the following questions about signals:

a. Is the signal x(n) = e^j7n periodic? Justify your answer. If it is periodic, please state its period.

b. Is the signal x(t) = e^j7 u(t) periodic? Justify your answer. If it is periodic, please state its period.

c. For the signal x(i) = asin(ω₁t + Φ₁) - βsin(ω₂t + Φ₂) and ω₁ ≠ ω₂, what is the the power of the signal ?

d. For the signal x(t) = u(t - 1) - u(t - 2):

i. Sketch x(t)
ii. Sketch x(-2t+3)

Question 2. Please answer the following questions about convolutions (20 points): Let the impulse response for an LTI system, be h(t) shown below

Let x(t) be: x(t) = ∑^∞_k=-∞δ(t - kT)

a. Please sketch x(t)
b. Calculate and sketch y(1)= x(t)*h(t) for T = 4
c. Calculate and sketch y(1) = x(t)*h(t) for T = 2
d. Does the impulse response h(t) correspond to a causal system?

Reference no: EM133273353

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