EXISTENCE AND UNIQUENESS OF GPS SOLUTIONS

被引:67
|
作者
ABEL, JS [1 ]
CHAFFEE, JW [1 ]
机构
[1] SCI APPLICAT INT CORP,SAN DIEGO,CA 92121
关键词
7;
D O I
10.1109/7.104271
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
The existence and uniqueness of positions computed from Global Positioning System (GPS) pseudorange (PR) measurements is studied. Contrary to several recent claims [2, 3], in the case of n = 4 satellites a fix may not exist, and, if a fix exists, it is not guaranteed to be unique. In the case of n greater-than-or-equal-to 5 satellites a unique fix is assured, except in certain degenerate cases such as coplanar satellites. Finally, an alternate formulation of the direct n = 4 PR to three-space position solutions [2, 3] is presented, and simple tests for existence and uniqueness are derived.
引用
收藏
页码:952 / 956
页数:5
相关论文
共 50 条
  • [31] Existence and uniqueness of solutions to singular ODE's
    Gorka, Przemyslaw
    Rybka, Piotr
    ARCHIV DER MATHEMATIK, 2010, 94 (03) : 227 - 233
  • [32] IMPLICIT LANGUAGE EQUATIONS - EXISTENCE AND UNIQUENESS OF SOLUTIONS
    LEISS, EL
    THEORETICAL COMPUTER SCIENCE, 1995, 145 (1-2) : 71 - 93
  • [33] Existence and uniqueness of solutions of uncertain linear systems
    Roomi, Vahid
    Ahmadi, Hamid Reza
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (01): : 289 - 299
  • [34] On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
    Gordji, M. Eshaghi
    Baghani, H.
    Baghani, O.
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [35] Existence and uniqueness of solutions to discrete diffusion equations
    Anderson, DR
    Avery, RI
    Davis, JM
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (6-9) : 1075 - 1085
  • [36] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF DEGENERATE CHEMOTAXIS SYSTEM
    Shangerganesh, L.
    Balan, N. Barani
    Balachandran, K.
    TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (05): : 1605 - 1622
  • [37] Existence and Uniqueness of Solutions to Nonlinear FunctionalIntegral Itô Equations
    Kadiev, R. I.
    Ponosov, A.
    DIFFERENTIAL EQUATIONS, 2024, 60 (09) : 1160 - 1182
  • [38] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NONLINEAR NEUMANN PROBLEMS
    BANDLE, C
    POZIO, MA
    TESEI, A
    MATHEMATISCHE ZEITSCHRIFT, 1988, 199 (02) : 257 - 278
  • [39] Existence and uniqueness of analytic solutions of the Shabat equation
    Petropoulou, Eugenia N.
    ABSTRACT AND APPLIED ANALYSIS, 2005, (08) : 855 - 862
  • [40] Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity
    Hu, Yu
    Meir, A. J.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 431