Sampling Theorem Demo (Nyquist Frequency)
Overview
The Sampling Theorem Demo visualizes the Nyquist-Shannon sampling theorem. See how sampling rate affects signal reconstruction and observe aliasing when sampling below the Nyquist rate. Perfect for understanding analog-to-digital conversion and why sample rates matter.
Tips
- Nyquist theorem: must sample at ≥2× highest frequency to avoid aliasing
- Nyquist frequency = sampling rate / 2
- Sampling below Nyquist causes aliasing (high frequencies appear as low)
- Anti-aliasing filters remove high frequencies before sampling
- CD quality: 44.1 kHz sample rate (Nyquist = 22.05 kHz)
- Try sampling a 1000 Hz signal at different rates
- Reconstruction shows how samples can recreate original signal
- Applications: audio recording, digital communication, instrumentation