Quick Answer
Calculate GNSS Static Baseline Vector RMSE Estimator (North/East/Up)
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Find Engineering Solutions →Result Interpretation
GNSS Static Baseline Vector RMSE Estimator (North/East/Up) calculator computes GNSS Baseline Vector RMSE (North/East/Up) in m using the defined engineering formula and the input values provided. GNSS Baseline Vector RMSE (North/East/Up) is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Position Dilution of Precision (North component) = 1.2
- Position Dilution of Precision (East component) = 1.3
- Position Dilution of Precision (Up component) = 2.1
- Pseudorange measurement standard deviation = 0.3
- Carrier-phase measurement standard deviation = 0.003
Expected Result:
- GNSS Baseline Vector RMSE (North/East/Up) = 0.53079156926236
Engineering Interpretation:
Under the given input conditions, the calculated result is: GNSS Baseline Vector RMSE (North/East/Up) = 0.53079156926236 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
North/East/Up = sqrt(pow(North component * pseudorange measurement standard deviation, 2) + pow(East component * pseudorange measurement standard deviation, 2) + pow(Up component * carrier-phase measurement standard deviation, 2))Formula family: formula_survey_gnss_static_baseline_vector_rmse_estimator_northeastup_components
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| PDOP_north | Position Dilution of Precision (North component) | INPUT | Position Dilution of Precision (North component) |
| PDOP_east | Position Dilution of Precision (East component) | INPUT | Position Dilution of Precision (East component) |
| PDOP_up | Position Dilution of Precision (Up component) | INPUT | Position Dilution of Precision (Up component) |
| sigma_code | Pseudorange measurement standard deviation | INPUT | Pseudorange measurement standard deviation |
| sigma_phase | Carrier-phase measurement standard deviation | INPUT | Carrier-phase measurement standard deviation |
| gnss_baseline_vector_rmse | GNSS Baseline Vector RMSE (North/East/Up) | OUTPUT | GNSS Baseline Vector RMSE (North/East/Up) |
Calculation Steps
- Enter the position dilution of precision (north component) in dimensionless.
- Enter the position dilution of precision (east component) in dimensionless.
- Enter the position dilution of precision (up component) in dimensionless.
- Enter the pseudorange measurement standard deviation in m.
- Enter the carrier-phase measurement standard deviation in m.
- Step 1: Compute gnss baseline vector rmse (north/east/up).
- Read the gnss baseline vector rmse (north/east/up) (m) from the results.
Engineering Summary
Calculate GNSS Static Baseline Vector RMSE Estimator (North/East/Up)
Frequently Asked Questions
What does this calculator calculate?
The GNSS Static Baseline Vector RMSE Estimator (North/East/Up) calculator estimates GNSS Baseline Vector RMSE (North/East/Up) based on the input parameters you provide
Why is position dilution of precision (north component) important in this calculation?
position dilution of precision (north component) is used directly in the calculation of gnss baseline vector rmse (north/east/up). Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter position dilution of precision (north component) in dimensionless, the calculator uses it in the engineering formula to compute the output
How should I interpret the result gnss baseline vector rmse (north/east/up)?
The calculator outputs gnss baseline vector rmse (north/east/up) 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: Position Dilution of Precision (North component) (dimensionless), Position Dilution of Precision (East component) (dimensionless), Position Dilution of Precision (Up component) (dimensionless), Pseudorange measurement standard deviation (m), Carrier-phase measurement standard deviation (m). 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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