Quick Answer
Calculate Lidar Vertical Position Uncertainty from Scan Angle and Range Noise
Calculator
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Find Engineering Solutions →Result Interpretation
Lidar Vertical Position Uncertainty from Scan Angle and Range Noise calculator computes Vertical Position Uncertainty in m using the defined engineering formula and the input values provided. Vertical Position Uncertainty is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Measured Range = 30
- Range Measurement Standard Deviation = 0.01
- Scan Angle (radians) = 0
- Scan Angle Standard Deviation (radians) = 0.0001
Expected Result:
- Vertical Position Uncertainty = 0.01
Engineering Interpretation:
Under the given input conditions, the calculated result is: Vertical Position Uncertainty = 0.01 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
vertical position uncertainty = sqrt(pow(range measurement standard deviation, 2) * pow(cos(radians), 2) + pow(measured range, 2) * pow(sin(radians), 2) * pow(radians, 2))Formula family: formula_geospatial_lidar_vertical_position_uncertainty_from_scan_angle_and_range_noise
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| range_value | Measured Range | INPUT | Measured Range |
| range_noise | Range Measurement Standard Deviation | INPUT | Range Measurement Standard Deviation |
| scan_angle_rad | Scan Angle (radians) | INPUT | Scan Angle (radians) |
| scan_angle_noise_rad | Scan Angle Standard Deviation (radians) | INPUT | Scan Angle Standard Deviation (radians) |
| lidar_vertical_position_uncertainty | Vertical Position Uncertainty | OUTPUT | Vertical Position Uncertainty |
Calculation Steps
- Enter the measured range in m.
- Enter the range measurement standard deviation in m.
- Enter the scan angle (radians) in rad.
- Enter the scan angle standard deviation (radians) in rad.
- Step 1: Compute vertical position uncertainty.
- Read the vertical position uncertainty (m) from the results.
Engineering Summary
Calculate Lidar Vertical Position Uncertainty from Scan Angle and Range Noise
Frequently Asked Questions
What does this calculator calculate?
The Lidar Vertical Position Uncertainty from Scan Angle and Range Noise calculator estimates Vertical Position Uncertainty based on the input parameters you provide
Why is measured range important in this calculation?
measured range is used directly in the calculation of vertical position uncertainty. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter measured range in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result vertical position uncertainty?
The calculator outputs vertical position uncertainty in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Measured Range (m), Range Measurement Standard Deviation (m), Scan Angle (radians) (rad), Scan Angle Standard Deviation (radians) (rad). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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