Marine observation clock alignment calculator

Calculate aligned reference-clock timestamps and offset drift with your own figures.

Your numbers

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

Use aligned reference-clock timestamps and offset drift to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Calibration sensor timestamps (seconds)
0,1000,2000
Measured reference-minus-sensor offsets (seconds)
2,2.1,2.2
Sensor timestamps to align (seconds)
500,1500
Aligned reference-clock timestamps
[502.05,1502.15]
Offset drift (parts per million)
100
Calibration residual RMS (seconds)
0

Try another scenario

Calibration sensor timestamps (seconds)
[0, 1000, 2000]
Measured reference-minus-sensor offsets (seconds)
[2, 2.1, 2.2]
Sensor timestamps to align (seconds)
[250, 1250]
Aligned reference-clock timestamps
[252.025,1252.125]
Offset drift (parts per million)
100
Calibration residual RMS (seconds)
0
Calculation method

Calculation method

Aligned reference-clock timestamps

Fit offset=a+b sensor_time; reference time=sensor_time+fitted offset.

Offset drift (parts per million)

Fitted offset slope×1e6.

Calibration residual RMS (seconds)

sqrt(mean(residual²)); not extrapolation uncertainty.

Symbols and units
a
Calibration sensor timestamps (seconds)
b
Measured reference-minus-sensor offsets (seconds)
c
Sensor timestamps to align (seconds)

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

  • Sensor timestamps, measured offsets, drift fit. Returns Aligned timestamps and uncertainty. 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. Calibration sensor timestamps (seconds): minimum None, maximum 1000000000000.0. Measured reference-minus-sensor offsets (seconds): minimum None, maximum 1000000000000.0. Sensor timestamps to align (seconds): minimum None, 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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