TY - JOUR
T1 - On GPS positioning and integrity monitoring
AU - Juang, Jyh Ching
N1 - Funding Information:
This work was supported by the National Science Council of the Republic of China under Grant NSC 88-2623-D-006-015.
PY - 2000
Y1 - 2000
N2 - The paper reinvestigates the measurement model associated with Global Positioning System (GPS) signal processing. It is argued that the GPS positioning model is better formulated as a linear equation with errors in both the data matrix and measurement variables. Furthermore, depending on the nature of the measurement errors, the model is categorized into unstructured and structured perturbation cases. In the former, the total least squares method is proposed for position fixing and clock bias determination. In the latter, an iteration method is developed to search for the optimal solution. In addition to the position update, both the total least squares and optimization methods provide estimates of the model mismatch which leads to a measure of GPS receiver autonomous integrity monitoring. Two new GPS fault detection metrics are then proposed and discussed. The first integrity test statistic is the norm of the residual vector in the total least squares estimate. Statistical properties of this test statistic are obtained for integrity monitoring. The second metric is a two-dimensional vector that characterizes the norm of the residual vector and mismatch matrix, both are outcomes of the total least squares method or the optimization method. The positioning and integrity monitoring schemes are verified using simulated examples.
AB - The paper reinvestigates the measurement model associated with Global Positioning System (GPS) signal processing. It is argued that the GPS positioning model is better formulated as a linear equation with errors in both the data matrix and measurement variables. Furthermore, depending on the nature of the measurement errors, the model is categorized into unstructured and structured perturbation cases. In the former, the total least squares method is proposed for position fixing and clock bias determination. In the latter, an iteration method is developed to search for the optimal solution. In addition to the position update, both the total least squares and optimization methods provide estimates of the model mismatch which leads to a measure of GPS receiver autonomous integrity monitoring. Two new GPS fault detection metrics are then proposed and discussed. The first integrity test statistic is the norm of the residual vector in the total least squares estimate. Statistical properties of this test statistic are obtained for integrity monitoring. The second metric is a two-dimensional vector that characterizes the norm of the residual vector and mismatch matrix, both are outcomes of the total least squares method or the optimization method. The positioning and integrity monitoring schemes are verified using simulated examples.
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U2 - 10.1109/7.826339
DO - 10.1109/7.826339
M3 - Article
AN - SCOPUS:0033896955
SN - 0018-9251
VL - 36
SP - 327
EP - 336
JO - IEEE Transactions on Aerospace and Electronic Systems
JF - IEEE Transactions on Aerospace and Electronic Systems
IS - 1
ER -