Sharif University of TechnologyScientia Iranica1026-309822620151201GPS navigation solution using the iterative least absolute deviation approachGPS navigation solution using the iterative least absolute deviation approach210321113758END.-J. JwoDepartment of Communications, Navigation and Control Engineering, National Taiwan Ocean University, 2 Pei-Ning Rd., Keelung 202-24, TaiwanM.-H. HsiehDomintech Co., Ltd., 31 Wugong 5th Rd., Wugu, New Taipei City 248, TaiwanY.-C. LeeDepartment of Communications, Navigation and Control Engineering, National Taiwan Ocean University, 2 Pei-Ning Rd., Keelung 202-24, TaiwanJournal Article20160102The Least Squares (LS) approach has been widely used for solving GPS navigation problems. Despite its many superior properties, however, the LS estimate can be sensitive to outliers, and its performance, in terms of accuracy and statistical inferences, may be compromised when the errors are large and heterogeneous. The GPS signal is strongly aected by multipath propagation errors. The LS is not able to cope with the above condition to provide a useful and plausible solution. In this paper, an alternative approach, based on the Least Absolute Deviation (LAD) criterion, for estimating navigation solutions is carried out. As a robust estimator, the LAD estimator is known to approximately produce maximum-likelihood estimation. In this case, the maximum-likelihood estimator is obtained by minimizing the mean absolute deviation, rather than the mean square deviation, and, accordingly, can perform robust and eective estimations. Unlike the LS method, the LAD method is not as sensitive to outliers and, so, may provide more robust estimates. Therefore, the LAD method provides a useful and plausible navigation solution. Simulation results show that the method can eectively mitigate GPS multipath errors.https://scientiairanica.sharif.edu/article_3758_ad3fc490c83c605ac9bd687334932cd7.pdf