1. **Problem Statement:** We need to visualize two graphs of a signal: one sampled above the Nyquist rate (which allows correct reconstruction) and one sampled below the Nyquist rate (which causes aliasing).
2. **Key Concept - Nyquist Rate:** The Nyquist rate is twice the highest frequency present in the signal. Sampling above this rate prevents aliasing, allowing perfect reconstruction.
3. **Graph 1 - Sampling Above Nyquist Rate:**
- Let the original signal be $y = \sin(2\pi f t)$ with frequency $f$.
- Sample at a rate $f_s > 2f$.
- The sampled points accurately represent the original signal.
4. **Graph 2 - Sampling Below Nyquist Rate:**
- Sample at a rate $f_s < 2f$.
- The sampled points misrepresent the original frequency, creating a lower frequency alias.
5. **Labeling:**
- X-axis: Time $t$
- Y-axis: Amplitude
- Indicate the original continuous signal and the sampled points.
- Show reconstructed signals from samples.
6. **Summary:** Sampling above Nyquist rate preserves the signal frequency; sampling below causes aliasing, distorting the signal.
Aliasing Visualization C2Ddf8
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