Research Article

Efficiency Improvement of Kalman Filter for GNSS/INS through One-Step Prediction of Matrix

Table 8

Statistic values of the navigation errors and the estimated standard deviations of the standard and the simplified GPS/INS algorithms (based on the mean method) (#MTi-G).

MeanRMSMaxSTD (RMS)

PositionNorth (m)Standard0.022 0.030 0.186 0.033
Simplified0.0260.0340.2120.023
Degradation (%)17.1214.1913.77
East (m)Standard0.020 0.026 0.194 0.031
Simplified0.0220.0290.1920.022
Degradation (%)13.209.92−1.03

VelocityNorth (m/s)Standard0.014 0.019 0.167 0.026
Simplified0.0130.0180.1960.025
Degradation (%)−7.64−5.8217.81
East (m/s)Standard0.013 0.017 0.086 0.026
Simplified0.0120.0160.0890.025
Degradation (%)−6.77−6.323.37

AttitudeRoll (°)Standard0.073 0.091 0.433 0.094
Simplified0.0770.0960.4970.093
Degradation (%)5.205.3814.58
Pitch (°)Standard0.105 0.125 0.506 0.093
Simplified0.1040.1260.5480.092
Degradation (%)−0.570.248.38
Heading (°)Standard0.698 0.861 2.596 0.719
Simplified1.0131.3133.8130.576
Degradation (%)45.2352.4446.86