Research Article

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

Table 3

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

MeanRMSMaxSTD (sqrt of matrix)

PositionNorth (m)Standard0.022 0.030 0.186 0.033
Simplified0.022 0.030 0.188 0.025
Degradation (%)0.00 0.001.08
East (m)Standard0.020 0.026 0.194 0.031
Simplified0.020 0.026 0.194 0.023
Degradation (%)0.00 0.00 0.00

VelocityNorth (m/s)Standard0.014 0.019 0.167 0.026
Simplified0.014 0.019 0.169 0.019
Degradation (%)0.000.00 1.20
East (m/s)Standard0.013 0.017 0.086 0.026
Simplified0.013 0.017 0.086 0.019
Degradation (%)0.00 0.00 0.00

AttitudeRoll (°)Standard0.073 0.091 0.433 0.094
Simplified0.074 0.092 0.436 0.085
Degradation (%)1.37 1.10 0.69
Pitch (°)Standard0.105 0.125 0.506 0.093
Simplified0.105 0.125 0.507 0.084
Degradation (%)0.00 0.00 0.20
Heading (°)Standard0.698 0.861 2.596 0.719
Simplified0.677 0.838 2.549 0.705
Degradation (%)−3.01 −2.67 −1.81