Wave zero-crossing analysis calculator

Calculate up-crossing times and complete wave [start,end,period,height] with your own figures.

Your numbers

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

Use up-crossing times and complete wave [start,end,period,height] to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Ordered sample times (seconds)
0,1,2,3,4,5,6,7,8
Surface elevations around supplied zero datum (m)
-1,1,0,-1,1,0,-1,1,0
Up-crossing times (seconds)
[0.5,3.5,6.5]
Complete wave [start,end,period,height]
[[0.5,3.5,3,2],[3.5,6.5,3,2]]

Try another scenario

Ordered sample times (seconds)
[0, 1, 2, 3, 4, 5, 6, 7, 8]
Surface elevations around supplied zero datum (m)
[-2, 2, 0, -2, 2, 0, -2, 2, 0]
Up-crossing times (seconds)
[0.5,3.5,6.5]
Complete wave [start,end,period,height]
[[0.5,3.5,3,4],[3.5,6.5,3,4]]
Calculation method

Calculation method

Up-crossing times (seconds)

Interpolate crossings where elevation moves from strictly negative to nonnegative.

Complete wave [start,end,period,height]

Consecutive up-crossings; height=max−min including interpolated zero endpoints and contained samples.

Symbols and units
a
Ordered sample times (seconds)
b
Surface elevations around supplied zero datum (m)

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

  • Surface elevation-time samples, crossing convention. Returns Individual wave heights and periods. 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. Ordered sample times (seconds): minimum None, maximum 1000000000000.0. Surface elevations around supplied zero datum (m): 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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