Beat Error Symmetry Threshold Screen

Screen two beat-error observations against explicit caller-supplied magnitude and relative-difference limits; this is not a certification decision.

Description

Beat-error symmetry compares two observed errors relative to their larger value.

Beat-error symmetry compares two observed errors relative to their larger value. The composite gate also caps that larger error.1

Screen two beat-error observations against explicit caller-supplied magnitude and relative-difference limits; this is not a certification decision.

When to use Beat Error Symmetry Threshold Screen

Use this tool to screen two beat-error observations against explicit caller-supplied magnitude and relative-difference limits; this is not a certification decision.

Choose a supported reference focus or prepare the watch measurements, evidence and explicit limits requested. Confirm units and date conventions before running.

How to use Beat Error Symmetry Threshold Screen and understand its results

  1. Choose a supported reference focus or prepare the watch measurements, evidence and explicit limits requested. Confirm units and date conventions before running.
  2. Enter firstBeatErrorMilliseconds, maximumAllowedBeatErrorMilliseconds, maximumAllowedRelativeDifferencePercent, secondBeatErrorMilliseconds using the field table and calculation rules, then run the tool.
  3. Read absoluteDifferenceMilliseconds, largerBeatErrorMilliseconds, relativeDifferencePercent, withinCallerThresholds. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
firstBeatErrorMillisecondsFirst beat-error observation (ms)number; minimum: 0Required
maximumAllowedBeatErrorMillisecondsMaximum allowed beat error (ms)number; minimum: 0Required
maximumAllowedRelativeDifferencePercentMaximum allowed relative difference (%)number; minimum: 0Required
secondBeatErrorMillisecondsSecond beat-error observation (ms)number; minimum: 0Required

Enter nonnegative errors, positive maximum error and nonnegative relative-percent maximum. Return difference, larger error, percentage and inclusive two-condition gate. Both errors zero give relative zero.

difference=|first−second|; relative%=100difference/max(first,second)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
absoluteDifferenceMillisecondsAbsolute difference (ms)number; minimum: 0
largerBeatErrorMillisecondsLarger beat-error observation (ms)number; minimum: 0
relativeDifferencePercentRelative difference (%)number; minimum: 0
withinCallerThresholdsWithin caller thresholdsboolean
json
{
  "input": {
    "firstBeatErrorMilliseconds": 0.4,
    "maximumAllowedBeatErrorMilliseconds": 0.8,
    "maximumAllowedRelativeDifferencePercent": 25,
    "secondBeatErrorMilliseconds": 0.6
  },
  "output": {
    "absoluteDifferenceMilliseconds": 0.19999999999999996,
    "largerBeatErrorMilliseconds": 0.6,
    "relativeDifferencePercent": 33.33333333333333,
    "withinCallerThresholds": false
  }
}

Limitations and assumptions

No oscillator symmetry, measurement quality or defect cause is diagnosed.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. 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 Beat Error Orientation Difference Screen: Compare horizontal and vertical beat-error observations against an explicit difference limit without assigning a single-cause mechanical diagnosis. For a complementary task, use Amplitude Explicit Threshold Screen: Screen measured balance amplitude against explicit caller-supplied minimum and maximum values without applying a universal healthy-degree target.

References

  1. Beat Error Symmetry Threshold Screen — tool.io

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