Integer-ambiguity resolution in astronomy and geodesy

Autor:	Lannes, André, Prieur, Jean-Louis
Rok vydání:	2013
Předmět:	Computer Science - Discrete Mathematics Astrophysics - Instrumentation and Methods for Astrophysics Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
DOI:	10.1002/asna.201211947
Popis:	Recent theoretical developments in astronomical aperture synthesis have revealed the existence of integer-ambiguity problems. Those problems, which appear in the self-calibration procedures of radio imaging, have been shown to be similar to the nearest-lattice point (NLP) problems encountered in high-precision geodetic positioning, and in global navigation satellite systems. In this paper, we analyse the theoretical aspects of the matter and propose new methods for solving those NLP problems. The related optimization aspects concern both the preconditioning stage, and the discrete-search stage in which the integer ambiguities are finally fixed. Our algorithms, which are described in an explicit manner, can easily be implemented. They lead to substantial gains in the processing time of both stages. Their efficiency was shown via intensive numerical tests. Comment: 12 pages. Soumis et accept\'e pour publication dans "Astronomische Nachrichten"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.4920 Zobrazit plný text záznamu View this record from Arxiv