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## Nyquist-Shannon Sampling Theorem

### Formula

**f_sample >= 2 x f_max**

The minimum sampling rate must be at least twice the highest signal frequency to avoid aliasing. In practice, sample at 2.5x or higher and use an anti-aliasing filter.

Exemple Résolu

Audio signal with 20 kHz maximum frequency, 2.5x oversampling.

  1. Nyquist rate = 2 x 20 = 40 kHz (minimum)
  2. Practical rate = 2.5 x 20 = 50 kHz
  3. Sample period = 1000 / 50 = 20 us