Signal Nyquist margin calculator

Calculate nyquist headroom and oversampling ratio with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use nyquist headroom and oversampling ratio to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Highest signal frequency (Hz)
20
Sampling frequency (Hz)
100
Nyquist headroom (Hz)
30
Oversampling ratio
2.5
Sampling condition
Above Nyquist requirement

Try another scenario

Highest signal frequency (Hz)
22
Sampling frequency (Hz)
100
Nyquist headroom (Hz)
28
Oversampling ratio
2.272727
Sampling condition
Above Nyquist requirement
Calculation method

Calculation method

Nyquist headroom (Hz)

Sampling frequency/2 minus highest frequency.

Oversampling ratio

Sample rate/(2 highest frequency); zero-frequency input has no finite ratio.

Sampling condition

Strictly above twice signal maximum is required by this bandlimited model.

Symbols and units
a
Highest signal frequency (Hz)
b
Sampling frequency (Hz)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Highest signal frequency, sampling rate. Returns Sampling margin and alias flags. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Highest signal frequency (Hz): minimum 0, maximum 1000000000000.0. Sampling frequency (Hz): minimum 1e-12, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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