Nyquist Frequenz Rechner
Berechnen Sie den Nyquist frequency aus sampling rate. Understand the sampling theorem for signal processing.
Nyquist Frequency
22,050 Hz
Nyquist Frequency vs Sampling Rate
Formel
## The Nyquist-Shannon Sampling Theorem To perfectly reconstruct a signal, you must sample at least twice the highest frequency present. ### Formula **f_Nyquist = f_sample / 2** Any signal component above the Nyquist frequency will alias (fold back) into the baseband, creating distortion. This is why anti-aliasing filters are placed before ADCs. ### Common Examples - CD audio: 44.1 kHz sampling, 22.05 kHz Nyquist - Phone: 8 kHz sampling, 4 kHz Nyquist - Professional audio: 96 kHz sampling, 48 kHz Nyquist
Lösungsbeispiel
CD-quality audio at 44,100 Hz sampling rate.
- 01Nyquist frequency: 44,100 / 2 = 22,050 Hz
- 02In kHz: 22.050 kHz
- 03Sampling period: 1,000,000 / 44,100 = 22.676 microseconds
Häufig Gestellte Fragen
Why do CDs use 44.1 kHz?
Humans hear up to about 20 kHz. The 44.1 kHz rate provides a Nyquist frequency of 22.05 kHz, covering the full hearing range with a small guard band for the anti-aliasing filter.
What happens if I sample too slowly?
Frequencies above the Nyquist limit alias to lower frequencies, causing distortion that cannot be removed after sampling.
Does oversampling help?
Yes. Oversampling (sampling faster than 2x) relaxes anti-aliasing filter requirements and can improve effective resolution.
Lernen