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

来源：

IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS | 1991年 / 27卷 / 06期

关键词：

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

页码：952 / 956

页数：5

共 7 条

[1] A DIVIDE-AND-CONQUER APPROACH TO LEAST-SQUARES ESTIMATION [J].