A Two-Stage Estimation Algorithm Based on Variable Projection Method for GPS Positioning
Chen, Guang-Yong1,2,3,4; Gan, Min1,2,3,4; Chen, C. L. Philip5,6,7; Chen, Long8
Source PublicationIEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
ISSN0018-9456
2018-11-01
Volume67Issue:11Pages:2518-2525
Corresponding AuthorGan, Min(aganmin@aliyun.com)
AbstractIn some complex environments, nonline-of-sight (or multipath) usually introduces an additional path delay to the pseudorange, which is known to be one of the most dominant sources of accuracy degradation in global navigation satellite systems (GNSSs). The additional path error is non-Gaussian. Different techniques, including antenna-based, receiver-based, and poster-receiver, have been proposed for mitigating the influence of multipath. However, the estimated additional path delay obtained by classical algorithms, such as maximum likelihood or Bayesian estimation, often has a certain deviation from the real-additional path delay. For more accurate estimation, we first restrict the additional path error in a relatively wide interval; then, the position estimation is converted into a constrained separable nonlinear least squares problem. We propose, in this paper, a two-stage estimation algorithm for global positioning system positioning. At the first stage, we ignore the additional path error and obtain a relatively accurate initial position. Then, based on the result obtained at the first stage, we include the additional path error in the estimation problem and estimate it by variable projection (VP) method. Numerical results show that the proposed algorithm based on the VP method can effectively mitigate multipath interference.
KeywordGlobal navigation satellite systems (GNSSs) least squares method parameter estimation variable projection (VP)
DOI10.1109/TIM.2018.2826798
WOS KeywordNONLINEAR LEAST-SQUARES ; PARAMETER-ESTIMATION ALGORITHM ; RATE HAMMERSTEIN SYSTEMS ; INTERFERENCE MITIGATION ; MULTIPATH MITIGATION ; GNSS RECEIVERS ; NOISE
Indexed BySCI
Language英语
Funding ProjectNational Nature Science Foundation of China[61673155] ; National Nature Science Foundation of China[61673405] ; National Nature Science Foundation of China[61672159] ; National Nature Science Foundation of China[U1705262] ; Technology Innovation Platform Project of Fujian Province[2014H2005] ; Fujian Collaborative Innovation Center for Big Data Application in Governments ; Fujian Engineering Research Center of Big Data Analysis and Processing
Funding OrganizationNational Nature Science Foundation of China ; Technology Innovation Platform Project of Fujian Province ; Fujian Collaborative Innovation Center for Big Data Application in Governments ; Fujian Engineering Research Center of Big Data Analysis and Processing
WOS Research AreaEngineering ; Instruments & Instrumentation
WOS SubjectEngineering, Electrical & Electronic ; Instruments & Instrumentation
WOS IDWOS:000448720700001
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/22789
Collection复杂系统管理与控制国家重点实验室_先进控制与自动化
Corresponding AuthorGan, Min
Affiliation1.Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
2.Fuzhou Univ, Fujian Prov Key Lab Network Comp & Intelligent In, Fuzhou 350116, Fujian, Peoples R China
3.Minist Educ, Key Lab Spatial Data Min & Informat Sharing, Fuzhou 350116, Fujian, Peoples R China
4.Fuzhou Univ, Ctr Discrete Math & Theoret Comp Sci, Fuzhou 350116, Fujian, Peoples R China
5.Univ Macau, Fac Sci & Technol, Dept Comp & Informat Sci, Macau 99999, Peoples R China
6.Dalian Maritime Univ, Nav Coll, Dalian 116026, Peoples R China
7.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100080, Peoples R China
8.Univ Macau, Fac Sci & Technol, Macau 99999, Peoples R China
Recommended Citation
GB/T 7714
Chen, Guang-Yong,Gan, Min,Chen, C. L. Philip,et al. A Two-Stage Estimation Algorithm Based on Variable Projection Method for GPS Positioning[J]. IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT,2018,67(11):2518-2525.
APA Chen, Guang-Yong,Gan, Min,Chen, C. L. Philip,&Chen, Long.(2018).A Two-Stage Estimation Algorithm Based on Variable Projection Method for GPS Positioning.IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT,67(11),2518-2525.
MLA Chen, Guang-Yong,et al."A Two-Stage Estimation Algorithm Based on Variable Projection Method for GPS Positioning".IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 67.11(2018):2518-2525.
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