Title
GNSS Multipath Error Modeling and Mitigation by Using Sparsity-Promoting Regularization.
Abstract
In high-accuracy global navigation satellite system (GNSS) positioning applications, the multipath is one of the primary error sources because it is hard to parameterize. Being somewhat systematic rather than purely random, the multipath should be viewed more as a signal rather than a noise. On this basis, empirically modeling the multipath is realizable. A new sidereal filtering approach based on sparsity-promoting regularization is proposed to mitigate multipath errors for static short baseline GNSS applications. The key idea of the proposed method emphasizes the use of the L-1 norm to extract multipaths from noisy carrier phase residuals. Two regularization schemes with the first- and second-order differences are considered. For each scheme, efficient numerical algorithms are developed to find solutions by using the Thomas algorithm and the Cholesky rank-one update algorithm as the core of the iteration for the first- and second-order differences, respectively. Regularization parameters or Lagrange multipliers are optimized by using the bootstrap method. By applying the proposed multipath modeling method, the average improvement ratio of the root-mean-square values of double-difference residuals can reach approximately 66.7% compared with the result without multipath mitigation in the two different datasets. Moreover, positioning precision is improved by approximately 20.8%, 26.3%, and 37.8% in the East, North, and Up directions, respectively. Moreover, the fixed rate of ambiguities is improved by 3.7% on average under the kinematic mode.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2899622
IEEE ACCESS
Keywords
Field
DocType
GNSS,multipath,sidereal filtering,regularization,L-1 norm,bootstrap
Multipath propagation,Noise reduction,Computer science,Lagrange multiplier,Filter (signal processing),Algorithm,Regularization (mathematics),Multipath mitigation,GNSS applications,Distributed computing,Cholesky decomposition
Journal
Volume
ISSN
Citations 
7
2169-3536
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
chao chen17728.25
Guobin Chang294.57
Nanshan Zheng300.34
Tianhe Xu4189.82