Proximity Sensor Range Calculator

Read actual target-specific observed proximity detection fractions against caller criterion with bracket/censoring evidence; no inverse-square universal range, confidence interval or all-material sensor guarantee.

Description

A sensor range criterion can be located on target-specific measured detection fractions.

A sensor range criterion can be located on target-specific measured detection fractions. Observed range endpoints expose censoring.1

Enter nonnegative strictly increasing distances/aligned strictly decreasing fractions 0–1 with at least two points and criterion 0–1. Return bracketed crossing or zero with false, plus observation domain.

When to use Proximity Sensor Range Calculator

Use Proximity Sensor Range Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No all-material guarantee, confidence interval or extrapolation is performed.

Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.

How to use Proximity Sensor Range Calculator and understand its results

  1. Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
  2. Enter measuredDistancesMm, measuredDetectionFractions, callerMinimumDetectionFraction using the field table and calculation rules, then run the tool.
  3. Read bracketedDetectionRangeMm, detectionCriterionBracketed, rangeObservationDomainMm. 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
measuredDistancesMmMeasured distances mmlist of numberRequired
measuredDetectionFractionsMeasured detection fractionslist of numberRequired
callerMinimumDetectionFractionCaller minimum detection fractionnumberRequired

Enter nonnegative strictly increasing distances/aligned strictly decreasing fractions 0–1 with at least two points and criterion 0–1. Return bracketed crossing or zero with false, plus observation domain.

range=piecewise-linear crossing(detectionFraction,criterion)

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

Output fieldMeaningValue type
bracketedDetectionRangeMmBracketed detection range mmnumber
detectionCriterionBracketedDetection criterion bracketedboolean
rangeObservationDomainMmRange observation domain mmlist of number
json
{
  "input": {
    "measuredDistancesMm": [
      0,
      10,
      20
    ],
    "measuredDetectionFractions": [
      1,
      0.8,
      0.2
    ],
    "callerMinimumDetectionFraction": 0.5
  },
  "output": {
    "bracketedDetectionRangeMm": 15,
    "detectionCriterionBracketed": true,
    "rangeObservationDomainMm": [
      0,
      20
    ]
  }
}

Limitations and assumptions

No all-material guarantee, confidence interval or extrapolation is performed.

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 Reed Switch Operate Distance Calculator: Reed operate distance can be bracketed on a measured axial-field curve. Lack of a crossing should remain explicitly unknown. For a complementary task, use Infrared Distance From Voltage Calculator: An infrared sensor may have ambiguous near/far branches. A chosen monotone calibration branch supports in-range interpolation.

References

  1. Proximity Sensor Range Calculator — tool.io

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