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2.3.4 Example Calculation of DOPs 2.3.4.1 Four Satellites

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For simplicity, consider four satellite measurements. The best accuracy is found with three satellites equally spaced on the horizon, at minimum elevation angle, with the fourth satellite directly overhead, as listed in Table 2.1.

The diagonal of the unscaled covariance matrix (H[1]T H[1])−1 then has the terms


where


Table 2.1 Example with four satellites.

Satellite location
1 2 3 4
Elevation (°) 5 5 5 90
Azimuth (°) 0 120 240 0

Typical example values of H[1] for this geometry are


The GDOP calculations for this example are



Gdop.m calculates the GDOP for the chosen constellation for GPS_perf.m by calculating H[1] matrix calcH. See Appendix A on www.wiley.com/go/grewal/gnss.

Global Navigation Satellite Systems, Inertial Navigation, and Integration

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