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Electrical Engineering QUESTION #2160
Question 1
A signal $x(t) = 5\cos(200\pi t) + 3\sin(400\pi t)$ is sampled at $f_s = 300\,\text{Hz}$. Which frequency component(s) experience aliasing?
  • Both $100\,\text{Hz}$ and $200\,\text{Hz}$✔️
  • $100\,\text{Hz}$ only
  • $200\,\text{Hz}$ only
  • No aliasing occurs
Correct Answer Explanation
The two components have frequencies $100\,\text{Hz}$ and $200\,\text{Hz}$. The Nyquist limit is $f_s/2 = 150\,\text{Hz}$. Since both exceed $150\,\text{Hz}$, both components alias.