Nyquist Sampling Rate Rechner
Berechnen Sie minimum sampling rate unter Verwendung von the Nyquist theorem for digital signal acquisition.
Minimum (Nyquist) Rate
40.0 kHz
Minimum (Nyquist) Rate vs Maximum Signal Frequency
Formel
## 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.
Lösungsbeispiel
Audio signal with 20 kHz maximum frequency, 2.5x oversampling.
- 01Nyquist rate = 2 x 20 = 40 kHz (minimum)
- 02Practical rate = 2.5 x 20 = 50 kHz
- 03Sample period = 1000 / 50 = 20 us
Häufig Gestellte Fragen
What is aliasing?
When sampling below Nyquist rate, high frequencies fold back as false lower frequencies, corrupting the signal irreversibly.
Why oversample?
Real anti-aliasing filters cannot have infinite roll-off. Oversampling provides margin for the filter transition band.
Why is CD audio 44.1 kHz?
Human hearing extends to ~20 kHz. Nyquist requires 40 kHz minimum. The extra 4.1 kHz provides margin for the anti-aliasing filter.
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