EXISTENCE AND UNIQUENESS OF GPS SOLUTIONS

被引：66
|
作者：
ABEL, JS [1 ]
CHAFFEE, JW [1 ]
机构：
[1] SCI APPLICAT INT CORP,SAN DIEGO,CA 92121
来源：
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS | 1991年 / 27卷 / 06期
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.
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页码：952 / 956
页数：5
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