Signal quantization noise estimate calculator

Calculate quantization interval and ideal quantization noise RMS with your own figures.

Your numbers

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

Use quantization interval and ideal quantization noise RMS to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Ideal converter bit depth
12
Peak-to-peak full-scale range (V)
2
Quantization interval (V)
0.000488
Ideal quantization noise RMS (V)
0.000141
Ideal full-scale sine SNR (dB)
74.008112

Try another scenario

Ideal converter bit depth
13
Peak-to-peak full-scale range (V)
2
Quantization interval (V)
0.000244
Ideal quantization noise RMS (V)
0.00007
Ideal full-scale sine SNR (dB)
80.028711
Calculation method

Calculation method

Quantization interval (V)

Full-scale span/2^bits.

Ideal quantization noise RMS (V)

Step/sqrt(12), uniform uncorrelated quantization model.

Ideal full-scale sine SNR (dB)

6.020599913×bits + 1.760912591.

Symbols and units
a
Ideal converter bit depth
b
Peak-to-peak full-scale range (V)

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

  • Bit depth, full scale, ideal signal model. Returns Step size and ideal noise estimate. 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. Ideal converter bit depth: minimum 1, maximum 32. Peak-to-peak full-scale range (V): 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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