Nyquist Sampling Check
Enter a signal frequency and sample rate to check Nyquist compliance, estimate alias frequency, and compute a safer target sample rate.
How to Use
- Enter your highest signal frequency (f).
- Enter your sampling rate (fs).
- Set a safety margin to recommend a more robust sample rate.
- Open “Show Work” to see the math and alias estimate (if any).
Ratio = fs / (2f). Values ≥ 1.0 meet Nyquist; higher ratios are safer in real systems.
Show Work (step-by-step)
Nyquist Reference
For a real-valued signal with highest frequency component f, the Nyquist criterion is:
fs ≥ 2f.
- Nyquist frequency:
fN = fs / 2 - Ratio:
r = fs / (2f) - Simple alias estimate (when f > fN): folds into
[0, fN]
In practice, filters, noise, and non-sinusoidal waveforms often require sampling significantly above 2×f.
FAQ
What should I use for “highest signal frequency”?
Use the highest frequency you must preserve after sampling. For non-sine waveforms, that may be a bandwidth target or harmonic content you care about.
Why do I still see distortion above Nyquist?
Nyquist is a theoretical minimum. Without anti-alias filtering (and with real-world noise), you often need more margin.
Is aliasing always “one number”?
For a pure tone, you can estimate a folded tone. For complex spectra, aliasing folds many components into baseband.
Tool Info
Last updated:
Updates may include additional sampling modes, better alias explanations, and more presets.