On exact solutions of the multi-constellation GNSS navigation problem |
| |
| Authors: | Jyh-Ching Juang Yung Fu Tsai |
| |
| Institution: | (1) Department of Electrical Engineering, National Cheng Kung University, Tainan City, Taiwan |
| |
| Abstract: | In Global Navigation Satellite System (GNSS) positioning, the receiver measures the pseudorange with respect to each observable
navigation satellite and determines the position and clock bias. In addition to the GPS, several other navigation satellite
constellations including Glonass, Galileo and Compass can/will also be used to provide positioning, navigation, and timing
information. The paper is concerned with the solvability of the navigation problem when the receiver attempts to process measurements
from different constellations. As two different constellations may not be time-synchronized, the navigation problem involves
the determination of position of the receiver and clock bias with respect to each constellation. The paper describes an analytic
approach to account for the two-constellation navigation problem with three measurements from one constellation and two measurements
from another constellation. It is shown that the two-constellation GNSS navigation problem becomes the solving of a set of
two simultaneous quadratic equations or, equivalently, a quartic equation. Furthermore, the zero-crossover of the leading
coefficient and the sign of the discriminant of the quartic equation are shown to play a significant role in governing the
solvability, i.e., the existence and uniqueness of the navigation solutions.
|
| |
| Keywords: | Satellite navigation GNSS Solvability Algebraic solutions |
| 本文献已被 SpringerLink 等数据库收录！ |
|
