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International Journal of Navigation and Observation
Volume 2014 (2014), Article ID 502158, 17 pages
Research Article

A Simple Three-Dimensional Matrix Method for Global Constellation Intrasatellite Link Topological Design

1Institute of Navigation and Intra Satellite Link Technology, Academy of Space Electronic Information Technology, Weiqu West Street No. 150, Changan Xi’an 710100, China
2Institute of Aerospace Science and Technology, Shanghai Jiaotong University, Shanghai 200240, China

Received 3 October 2013; Accepted 6 February 2014; Published 30 March 2014

Academic Editor: Sandro M. Radicella

Copyright © 2014 Xiaoliang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A three-dimensional matrix method is proposed in this paper for Global Navigation Satellite System (GNSS) constellation Intrasatellite Link (ISL) topological design. The rows and columns of proposed matrix contain the information of both constellation orbit planes and satellites in each orbit plane. The third dimension of proposed matrix represents the time sequences during constellation movement. The proposed method has virtues of better advantage of conceptual clarity and computational efficiency, meanwhile, some properties of ISLs in the constellation can be proved easily. At the second part of this paper, a link assignment and optimal routing problem is proposed using three-dimensional topology matrixes, which aimed to minimize the relay hops during the process of data uploading to whole constellation network. Moreover, some practical constrains as antenna beam coverage and relative velocity are considered and analyzed in detail. Finally, some numerical simulations are provided, and the results demonstrated the promising performance of proposed topological method in reduction of computation burden, clear ISL conception, and so forth; the efficiency of provided optimal ISL routing problem is also proved.