Ambiguity Resolution Validation Based on LAMBDA and Eigen-Decomposition

Yung-Fu Tsai and Jyh-Ching Juang

Abstract: Integer carrier phase ambiguity resolution is a major challenge for sub-centimeter level precision positioning or sub-degree level attitude determination. In such estimation problems, the key point is the resolution and validation of the integer ambiguity. The estimation process is typically formulated as the linear system equation. The unknown terms of the equations are the baseline vector and the double-differenced ambiguity vector. In the paper, a method based on linear matrix inequality and eigen-decomposition is adopted. The GPS data collected at various surveyed sites in Taiwan region are used for analysis. Both the LAMBDA and eigendecomposition methods are applied for the baseline determination. The comparisons between the two methods in terms of computational load, convergence rate, and reliability are assessed.
Published in: Proceedings of the 63rd Annual Meeting of The Institute of Navigation (2007)
April 23 - 25, 2007
Royal Sonesta Hotel
Cambridge, MA
Pages: 299 - 304
Cite this article: Tsai, Yung-Fu, Juang, Jyh-Ching, "Ambiguity Resolution Validation Based on LAMBDA and Eigen-Decomposition," Proceedings of the 63rd Annual Meeting of The Institute of Navigation (2007), Cambridge, MA, April 2007, pp. 299-304.
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