메뉴 건너뛰기




Volumn 79, Issue 6-7, 2005, Pages 351-362

Huber's M-estimation in relative GPS positioning: Computational aspects

Author keywords

Computer implementation; Huber's M estimation; Netwon's method for minimization; Relative GPS positioning

Indexed keywords

GPS; SIGNAL PROCESSING;

EID: 24344445239     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-005-0473-y     Document Type: Article
Times cited : (59)

References (33)
  • 1
    • 0001393633 scopus 로고    scopus 로고
    • GPS navigation algorithms
    • Parkinson BW, Spilker JJ, Axelrad P, Enge P (eds) American Institute of Aeronautics and Astronautics Inc
    • Axelrad P, Brown RG (1996) GPS navigation algorithms. In: Parkinson BW, Spilker JJ, Axelrad P, Enge P (eds) Global positioning system: Theory and applications, vol 1. American Institute of Aeronautics and Astronautics Inc, pp 409-433
    • (1996) Global Positioning System: Theory and Applications , vol.1 , pp. 409-433
    • Axelrad, P.1    Brown, R.G.2
  • 2
    • 8344263360 scopus 로고
    • Recursive robust regression: Computational aspects and comparison
    • Antoch J, Ekblom H (1995) Recursive robust regression: Computational aspects and comparison. Comput Stat Data Anal 19:115-234
    • (1995) Comput. Stat. Data Anal. , vol.19 , pp. 115-234
    • Antoch, J.1    Ekblom, H.2
  • 3
    • 0032718257 scopus 로고    scopus 로고
    • An evaluation of some robust estimation techniques in the estimation of geodetic parameters
    • Awange JL, Aduol FWO (1999) An evaluation of some robust estimation techniques in the estimation of geodetic parameters. Surv Rev 35:146-162
    • (1999) Surv. Rev. , vol.35 , pp. 146-162
    • Awange, J.L.1    Aduol, F.W.O.2
  • 5
    • 0013431448 scopus 로고    scopus 로고
    • Receiver autonomous integrity monitoring
    • Parkinson BW, Spilker JJ, Axelrad P, Enge P (ed) American Institute of Aeronautics and Astronautics Inc
    • Brown RG (1996) Receiver autonomous integrity monitoring. In: Parkinson BW, Spilker JJ, Axelrad P, Enge P (ed) Global positioning system: Theory and spplications, vol 2. American Institute of Aeronautics and Astronautics Inc, pp 143-165
    • (1996) Global Positioning System: Theory and Applications , vol.2 , pp. 143-165
    • Brown, R.G.1
  • 6
    • 33744492962 scopus 로고    scopus 로고
    • Computation of the Huber M-estimates for a blockangular regression problem
    • (in press)
    • Chang X-W (2005) Computation of the Huber M-estimates for a blockangular regression problem. Comput Stat Data Anal (in press)
    • (2005) Comput. Stat. Data Anal.
    • Chang, X.-W.1
  • 7
    • 4043166956 scopus 로고    scopus 로고
    • An algorithm for combined code and carrier phase based GPS positioning
    • Chang X-W, Paige CC (2003) An algorithm for combined code and carrier phase based GPS positioning. BIT Numer Math 43:915-927
    • (2003) BIT Numer. Math. , vol.43 , pp. 915-927
    • Chang, X.-W.1    Paige, C.C.2
  • 8
    • 24344449844 scopus 로고    scopus 로고
    • Code and carrier phase based short baseline GPS positioning: Computational aspects
    • Chang X-W, Paige CC, Yin L (2004) Code and carrier phase based short baseline GPS positioning: Computational aspects. GPS Solut 7:230-240
    • (2004) GPS Solut. , vol.7 , pp. 230-240
    • Chang, X.-W.1    Paige, C.C.2    Yin, L.3
  • 9
    • 0000458672 scopus 로고
    • Contribution on the adjustment by minimizing the sum of absolute residuals
    • Fuchs H (1982) Contribution on the adjustment by minimizing the sum of absolute residuals. Manuscr Geod 7:151-207
    • (1982) Manuscr. Geod. , vol.7 , pp. 151-207
    • Fuchs, H.1
  • 10
    • 0032442770 scopus 로고    scopus 로고
    • Robust biased estimation and its applications in geodetic adjustments
    • Gui Q, Zhang J (1998) Robust biased estimation and its applications in geodetic adjustments. J Geod 71:430-435
    • (1998) J. Geod. , vol.71 , pp. 430-435
    • Gui, Q.1    Zhang, J.2
  • 11
    • 0003157339 scopus 로고
    • Robust estimation of a location parameter
    • Huber PH (1964) Robust estimation of a location parameter. Annals Math Statist 35:73-101
    • (1964) Annals Math. Statist. , vol.35 , pp. 73-101
    • Huber, P.H.1
  • 14
    • 0011507526 scopus 로고    scopus 로고
    • The Linear model, RNP, and the near-optimum fault detection and exclusion algorithm
    • The Institute of Navigation, Alexandria
    • Kelly RJ (1998) The Linear model, RNP, and the near-optimum fault detection and exclusion algorithm. In: Global positioning system, vol 5. The Institute of Navigation, Alexandria, pp 227-259
    • (1998) Global Positioning System , vol.5 , pp. 227-259
    • Kelly, R.J.1
  • 16
    • 0032438418 scopus 로고    scopus 로고
    • Robust Kalman filter for rank deficient observation models
    • Koch KR, Yang Y (1998) Robust Kalman filter for rank deficient observation models. J Geod 72:436-441
    • (1998) J. Geod. , vol.72 , pp. 436-441
    • Koch, K.R.1    Yang, Y.2
  • 17
    • 0000793765 scopus 로고
    • Finite algorithms for robust linear regression
    • Madsen K, Nielsen HB (1990) Finite algorithms for robust linear regression. BIT 30:682-699
    • (1990) BIT , vol.30 , pp. 682-699
    • Madsen, K.1    Nielsen, H.B.2
  • 20
    • 0000115216 scopus 로고
    • Robust regression computation using iteratively reweighted least squares
    • O'Leary DP (1990) Robust regression computation using iteratively reweighted least squares. SIAM J Matrix Anal Appl 11:466-488
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 466-488
    • O'Leary, D.P.1
  • 21
    • 0003940656 scopus 로고
    • Finite algorithms in optimization and data analysis
    • Wiley, Toronto
    • Osborne MR (1985) Finite algorithms in optimization and data analysis. Wiley, Toronto
    • (1985)
    • Osborne, M.R.1
  • 22
    • 24344445693 scopus 로고    scopus 로고
    • Robust statistics, data analysis and computer intensive methods proceedings of the conference in honor of Peter Huber's 60th birthday
    • (ed) Lecture Notes in Statistics (109). Springer, Berlin Heidelberg New York
    • Rieder H (ed) (1996) Robust statistics, data analysis and computer intensive methods proceedings of the conference in honor of Peter Huber's 60th birthday. Lecture Notes in Statistics (109). Springer, Berlin Heidelberg New York
    • (1996)
    • Rieder, H.1
  • 24
    • 0003442008 scopus 로고    scopus 로고
    • Recursive data processing for kinematic GPS surveying
    • PhD Thesis, Department of Mathematical Geodesy and Positioning, Delft University of Technology
    • Tiberius CCJM (1998) Recursive data processing for kinematic GPS surveying. PhD Thesis, Department of Mathematical Geodesy and Positioning, Delft University of Technology
    • (1998)
    • Tiberius, C.C.J.M.1
  • 25
    • 0037321919 scopus 로고    scopus 로고
    • Variance component estimation and precise GPS positioning: Case study
    • Tiberius CCJM, Kenselaar F (2003) Variance component estimation and precise GPS positioning: Case study. J Surv Eng 129:11-18
    • (2003) J. Surv. Eng. , vol.129 , pp. 11-18
    • Tiberius, C.C.J.M.1    Kenselaar, F.2
  • 26
    • 8344230257 scopus 로고    scopus 로고
    • Short static GPS sessions: Robust estimation results
    • Wieser A, Brunner FK (2002) Short static GPS sessions: Robust estimation results. GPS Solut 5:70-79
    • (2002) GPS Solut. , vol.5 , pp. 70-79
    • Wieser, A.1    Brunner, F.K.2
  • 27
    • 24344447103 scopus 로고
    • Iteratively reweighted least squares: A comparison of several single step algorithms for linear models
    • Wolke R (1992) Iteratively reweighted least squares: A comparison of several single step algorithms for linear models. BIT 32:506-524
    • (1992) BIT , vol.32 , pp. 506-524
    • Wolke, R.1
  • 28
    • 51649152055 scopus 로고
    • On robust estimation with correlated observations
    • Xu P (1989) On robust estimation with correlated observations. Bull geod 63:237-252
    • (1989) Bull. Geod. , vol.63 , pp. 237-252
    • Xu, P.1
  • 29
    • 0001127528 scopus 로고
    • Robust Bayesian estimation
    • Yang Y (1991) Robust Bayesian estimation. Bull Geod 65:145-150
    • (1991) Bull. Geod. , vol.65 , pp. 145-150
    • Yang, Y.1
  • 30
    • 0002620369 scopus 로고
    • Robust estimation for dependent observations
    • Yang Y (1994) Robust estimation for dependent observations. Manuscr Geod 19:10-17
    • (1994) Manuscr. Geod. , vol.19 , pp. 10-17
    • Yang, Y.1
  • 31
    • 0034980083 scopus 로고    scopus 로고
    • Adaptively robust filtering for kinematic geodetic positioning
    • Yang Y, He H, Xu G (2001) Adaptively robust filtering for kinematic geodetic positioning. J Geod 75:109-116
    • (2001) J. Geod. , vol.75 , pp. 109-116
    • Yang, Y.1    He, H.2    Xu, G.3
  • 32
    • 0031426506 scopus 로고    scopus 로고
    • Robustness estimation and optimal selection of polynomial parameters for the interpolation of GPS geoid heights
    • Zhong D (1997) Robustness estimation and optimal selection of polynomial parameters for the interpolation of GPS geoid heights. J Geod 71:552-561
    • (1997) J. Geod. , vol.71 , pp. 552-561
    • Zhong, D.1
  • 33
    • 0030481671 scopus 로고    scopus 로고
    • Robustness and the robust estimate
    • Zhu J (1996) Robustness and the robust estimate. J Geod 70:586-590
    • (1996) J. Geod. , vol.70 , pp. 586-590
    • Zhu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.