Gyroscope Bias Instability Calculator
Screen observed Allan minimum with caller centered log-slope plateau tolerance and flicker convention factor; candidate only, a symmetric minimum is not proof of flicker noise, no raw-signal Allan estimator or certified gyro bias.
Description
An observed Allan-deviation minimum can provide a candidate flicker-noise estimate.
An observed Allan-deviation minimum can provide a candidate flicker-noise estimate. A locally flat centered slope alone does not prove noise type.1
Enter aligned positive deviations/strictly increasing positive averaging times with at least two points, nonnegative slope tolerance and positive factor. Require a unique minimum; only an interior minimum with centered absolute slope≤tolerance qualifies. Return minimum/time, evidence flag and estimate or −1.
When to use Gyroscope Bias Instability Calculator
Use Gyroscope Bias Instability Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No raw-signal Allan estimator or certified gyro bias-instability identification is supplied.
Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
How to use Gyroscope Bias Instability Calculator and understand its results
- Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
- Enter averagingTimesSeconds, observedAllanDeviationsDegreesHour, callerPlateauLogSlopeTolerance, callerFlickerConversionFactor using the field table and calculation rules, then run the tool.
- Read minimumObservedAllanDeviationDegreesHour, minimumAtAveragingSeconds, flickerPlateauEvidencePresent, candidateBiasInstabilityDegreesHour. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| averagingTimesSeconds | Averaging times seconds | list of number | Required |
| observedAllanDeviationsDegreesHour | Observed allan deviations degrees hour | list of number | Required |
| callerPlateauLogSlopeTolerance | Caller plateau log slope tolerance | number | Required |
| callerFlickerConversionFactor | Caller flicker conversion factor | number | Required |
Enter aligned positive deviations/strictly increasing positive averaging times with at least two points, nonnegative slope tolerance and positive factor. Require a unique minimum; only an interior minimum with centered absolute slope≤tolerance qualifies. Return minimum/time, evidence flag and estimate or −1.
slope=Δln(deviation)/Δln(averagingTime); candidate=minimum/conversionFactor Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| minimumObservedAllanDeviationDegreesHour | Minimum observed allan deviation degrees hour | number |
| minimumAtAveragingSeconds | Minimum at averaging seconds | number |
| flickerPlateauEvidencePresent | Flicker plateau evidence present | boolean |
| candidateBiasInstabilityDegreesHour | Candidate bias instability degrees hour | number |
{
"input": {
"averagingTimesSeconds": [
1,
10,
100
],
"observedAllanDeviationsDegreesHour": [
2,
1,
2
],
"callerPlateauLogSlopeTolerance": 0.1,
"callerFlickerConversionFactor": 0.664
},
"output": {
"minimumObservedAllanDeviationDegreesHour": 1,
"minimumAtAveragingSeconds": 10,
"flickerPlateauEvidencePresent": true,
"candidateBiasInstabilityDegreesHour": 1.506024096385542
}
}Limitations and assumptions
No raw-signal Allan estimator or certified gyro bias-instability identification is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Battery Impedance Spectroscopy Calculator: Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance. For a complementary task, use Eye Closure Penalty Calculator: Eye closure compares measured openings with reference openings. Improved openings yield negative closure and penalty.
References
-
Gyroscope Bias Instability Calculator — tool.io
Similar or alternative tools
- Battery Impedance Spectroscopy Calculator
Battery AC spectra determine complex impedance from matched voltage/current amplitudes and their phase difference. Nyquist uses negative imaginary impedance.
- Eye Closure Penalty Calculator
Eye closure compares measured openings with reference openings. Improved openings yield negative closure and penalty.