Biosignature SNR Integration Time Scaling t∝(S/N)² Calculator
Conditional SNR-squared integration scaling for independent stationary noise; no systematic floor or actual biosignature detection certainty.
Description
Biosignature SNR Integration Time Scaling t∝(S/N)² Calculator: return conditional seconds.
When a measurement follows square-root-of-time signal-to-noise scaling, improving the signal-to-noise ratio requires a quadratic increase in integration time.
This tool returns conditional seconds. Use the stated units and model convention when interpreting these fields.
When to use this tool
Use this tool when the supplied inputs match the specific operation described above and you need a repeatable result under its stated convention.
- Check the supported input and output contract against an existing calculation or observation.
- Use the complete example to confirm units, selector spelling and result interpretation.
How to use the tool and how it works
- Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
- Run the tool. Correct input errors before interpreting an output.
- Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.
Multiply the reference time by the square of targetSnr divided by referenceSnr.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| referenceSeconds | Reference seconds. Seconds. | Finite number; zero or greater |
| referenceSnr | Reference snr. | Finite number; greater than zero |
| targetSnr | Target snr. | Finite number; zero or greater |
| Output field | Interpretation |
|---|---|
| result | Object containing the following named result fields. |
| result.conditionalSeconds | Conditional seconds; use the stated units and sign convention. |
{
"input": {
"referenceSeconds": 10,
"referenceSnr": 2,
"targetSnr": 4
},
"output": {
"result": {
"conditionalSeconds": 40
}
}
}Limitations and assumptions
- The reference SNR must be positive. Noise floors, changing backgrounds and instrument overheads are not modeled.
- Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
- Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.
Alternative or Complementary methods
Check the underlying observations, units and conventions independently before using the result in a larger workflow. The tools listed below address nearby tasks; compare their inputs and scope before substituting one for this operation.
References
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