Multiple choice

Consider a random process X(t) = $\sqrt{2}$ sin(2$\pi$t + $\varphi$), where the random phase $\varphi$ is uniformly distributed in the interval [0, 2$\pi$]. The auto-correlation E[X(t1) X(t2)] is

  1. cos(2$\pi$ (t1 + t2))
  2. sin(2$\pi$ (t1 – t2))
  3. sin(2$\pi$ (t1 + t2))
  4. cos(2$\pi$ (t1 – t2))
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D Correct answer
Explanation

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