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Lidar Overlap Normalized Return Term Tool

Background-subtracted range-squared return normalized by explicit overlap and pulse energy; no aerosol inversion is performed.

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Description

Return background-, range- and overlap-corrected lidar response.

Radar and lidar measurements combine propagation distance, pulse/gate geometry, background and instrument response. A local range or normalization term can be useful without detecting a target, retrieving atmospheric properties or establishing calibrated sampling resolution.

Return background-, range- and overlap-corrected lidar response.

When to use this tool

Use Lidar Overlap Normalized Return Term when checking the stated radar/lidar geometry, signal or transmission convention.

How to use the tool and how it works

  1. Enter signal, background, range, overlapFraction, energy. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read netSignal, correctedReturn. Use the output convention below.

Return background-, range- and overlap-corrected lidar response. Require range >= 0, energy > 0 and overlapFraction in (0,1]; netSignal = signal-background, correctedReturn = netSignal*range²/(overlap*energy).1

Input fieldMeaning and unitsAccepted input
signalSignalRequired. Finite number.
backgroundBackgroundRequired. Finite number.
rangeRangeRequired. Finite number; minimum 0.
overlapFractionOverlap FractionRequired. Finite number; maximum 1; strictly above 0.
energyEnergyRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
netSignalNet SignalRequired. Finite number.
correctedReturnCorrected ReturnRequired. Finite number.
json
{
  "input": {
    "signal": 10,
    "background": 2,
    "range": 5,
    "overlapFraction": 0.5,
    "energy": 2
  },
  "output": {
    "netSignal": 8,
    "correctedReturn": 200
  }
}

Limitations and assumptions

  • Signed returns are retained; this local normalization does not retrieve an aerosol profile, extinction or calibrated backscatter.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified instrument calibration and a complete appropriate retrieval/response model, including geometry and signal uncertainty, for actual remote-sensing conclusions.

References

  1. Calculation and input contract: atmospheric-physics/lidar-overlap-normalized-return-term — tool.io

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