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eISSN 2029-7092 online
eISBN 978-609-457-640-9
ISBN 978-609-457-690-4 CD
Technologies of Geodesy and Cadastre

Slawomir Cellmer

Approximation of ambiguity covariance matrix for integer de-correlation procedure in single-epoch GNSS positioning

Conference Information: 9th International Conference “Environmental Engineering”, 22–23 May 2014, Vilnius, LITHUANIA
Source: ICEE-2014 - International Conference on Environmental Engineering
Book Series: International Conference on Environmental Engineering (ICEE) Selected papers
ISSN: eISSN 2029-7092 online
ISBN: eISBN 978-609-457-640-9
ISBN: ISBN 978-609-457-690-4 CD
Year: 2014
Publisher: Vilnius Gediminas Technical University Press Technika

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An ambiguity resolution plays the key role in GNSS carrier phase processing. Recently the LAMBDA method is widely used for this purpose. The algorithm of this method contains integer de-correlation procedure. An ambiguity covariance matrix is input data in this procedure. This matrix should to be positive definite. In traditional approach the observation data has to be complemented with additional group of code observations. It is necessary to obtain 'positive definiteness' in the case of single-epoch positioning. In the article new formula for approximation of positive definite ambiguity covariance matrix is presented. This formula does not require code observations. The numerical tests were carried out in order to show the efficiency of proposed solution. The results of these tests are presented.

Keywords: GNSS data processing; single-epoch positioning; ambiguity resolution.

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