A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Huber’s M-estimation in relative GPS positioning: computational aspects
Abstract When GPS signal measurements have outliers, using least squares (LS) estimation is likely to give poor position estimates. One of the typical approaches to handle this problem is to use robust estimation techniques. We study the computational issues of Huber’s M-estimation applied to relative GPS positioning. First for code-based relative positioning, we use simulation results to show that Newton’s method usually converges faster than the iteratively reweighted least squares (IRLS) method, which is often used in geodesy for computing robust estimates of parameters. Then for code- and carrier-phase-based relative positioning, we present a recursive modified Newton method to compute Huber’s M-estimates of the positions. The structures of the model are exploited to make the method efficient, and orthogonal transformations are used to ensure numerical reliability of the method. Economical use of computer memory is also taken into account in designing the method. Simulation results show that the method is effective.
Huber’s M-estimation in relative GPS positioning: computational aspects
Abstract When GPS signal measurements have outliers, using least squares (LS) estimation is likely to give poor position estimates. One of the typical approaches to handle this problem is to use robust estimation techniques. We study the computational issues of Huber’s M-estimation applied to relative GPS positioning. First for code-based relative positioning, we use simulation results to show that Newton’s method usually converges faster than the iteratively reweighted least squares (IRLS) method, which is often used in geodesy for computing robust estimates of parameters. Then for code- and carrier-phase-based relative positioning, we present a recursive modified Newton method to compute Huber’s M-estimates of the positions. The structures of the model are exploited to make the method efficient, and orthogonal transformations are used to ensure numerical reliability of the method. Economical use of computer memory is also taken into account in designing the method. Simulation results show that the method is effective.
Huber’s M-estimation in relative GPS positioning: computational aspects
Chang, X.-W. (author) / Guo, Y. (author)
Journal of Geodesy ; 79
2005
Article (Journal)
Electronic Resource
English
Huber’s M-estimation in relative GPS positioning: computational aspects
| Online Contents | 2005
Robust experimental design : a comment on Huber's result
| TIBKAT | 1984
Effect of Temporal Physical Correlation on Accuracy Estimation in GPS Relative Positioning
| Online Contents | 2003