The Baseline Constrained LAMBDA Method for Single Epoch, Single Frequency Attitude Determination Applications

Peter Buist

Abstract:	This paper explains the principles of a baseline constrained version of the LAMBDA method. This version of the LAMBDA method is optimal in the way it makes use of the integerness of the initial integer ambiguities and the known baseline length. This paper gives an overview of the theory behind the new method and compares the method with other existing ambiguity resolution methods applied for GNSS-based attitude determination. Emphasis is on the most challenging application: the single frequency, single epoch application. Engineering aspects of the implementation of this method are discussed and the method is demonstrated using data collected in dynamic attitude environments: a slowly moving vessel and a more dynamic aircraft. The influence of the environment, especially dynamics and data quality (multipath) is known to have an impact on the performance of ambiguity resolution methods. In this paper we investigate this influence on the standard and baseline constrained version of the LAMBDA method. Results of the standard LAMBDA method are compared with the baseline constrained version for the single frequency, single epoch, short constrained baseline application, and the latter version demonstrated a much better performance.
Published in:	Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007) September 25 - 28, 2007 Fort Worth Convention Center Fort Worth, TX
Pages:	2962 - 2973
Cite this article:	Buist, Peter, "The Baseline Constrained LAMBDA Method for Single Epoch, Single Frequency Attitude Determination Applications," Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007), Fort Worth, TX, September 2007, pp. 2962-2973.
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