Nyquist Sampling Rate Calculator
Minimum sampling rate for your bandwidth and where any tone aliases — with the anti-alias filter margin verdict.
The theorem assumes a PERFECT brick-wall filter — reality needs margin: audio samples 20 kHz content at 44.1/48 kHz, not 40. Aliased energy is indistinguishable from real signal after the ADC, so the anti-alias filter must sit BEFORE it, in analog. Deliberate undersampling of bandpass signals (software radio) uses the same fold-down math on purpose.
Nyquist Sampling Calculator computes the minimum sampling rate for a signal and where out-of-band tones alias — free, instant and private in your browser. DAQ and audio engineers placing anti-alias filters and sample rates use it to skip the datasheet algebra: type your numbers, read the answer with the substituted formula shown step by step, and share an exact permalink of the calculation.
About Nyquist Sampling Rate Calculator
Nyquist Sampling Calculator computes the minimum sampling rate for a signal and where out-of-band tones alias using the standard engineering relation: fs > 2·f(max); alias = |f − round(f/fs)·fs|. Worked live: sampling a 7 kHz tone at 10 kHz folds it to a phantom 3 kHz — indistinguishable from a real one. The result recalculates on every keystroke, the worked-example panel shows your numbers substituted into the formula, and the Copy permalink button encodes the inputs in the URL so a colleague opens exactly your calculation. Everything runs client-side — nothing you type leaves your device.
How to use Nyquist Sampling Rate Calculator
- 1Enter your values — the tool starts with realistic defaults for this exact use case, so the worked example is meaningful immediately.
- 2Read the live result and the worked-example panel, which substitutes your numbers into the formula step by step.
- 3Adjust any input to compare scenarios, then use Copy result or Copy permalink to share the calculation.
Why use Nyquist Sampling Rate Calculator?
- ✓Implements the real formula — fs > 2·f(max) — with the substitution shown, not a black box
- ✓Built for DAQ and audio engineers placing anti-alias filters and sample rates
- ✓Copy result and permalink buttons — share the exact calculation in a README, forum answer or design review
- ✓100% free, no sign-up, runs entirely in your browser (works offline once loaded)
Frequently asked questions
How do you calculate nyquist sampling?+
The minimum sampling rate for a signal and where out-of-band tones alias follows fs > 2·f(max); alias = |f − round(f/fs)·fs|. For example, sampling a 7 kHz tone at 10 kHz folds it to a phantom 3 kHz — indistinguishable from a real one. The calculator applies the same relation and shows the substituted arithmetic so you can verify every step.
Why do real systems sample much faster than 2× the bandwidth?+
The theorem assumes an impossible brick-wall filter. Real analog filters need transition room: audio's 44.1 kHz gives the 20 kHz band a 2.05 kHz guard; instrumentation often runs 5–10× with gentle filters plus digital decimation. Margin is the cost of buildable filters.
Can aliasing ever be useful?+
Yes — undersampling (bandpass sampling) deliberately folds a high IF down to baseband in SDRs and RF ADCs: a 70 MHz-centred band sampled at 56 MHz lands neatly near DC. The math is the same fold formula this tool computes; you just aim it on purpose.
Is the Nyquist Sampling Calculator free and private?+
Yes — completely free with no sign-up or usage limits, and it runs entirely in your browser: the values you enter are never uploaded or stored on a server.
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