Baseline configuration for GNSS attitude determination with an analytical least-squares solution. (2nd November 2016)

• Record Type: Journal Article
• Authors: Chang, Guobin; Xu, Tianhe; Wang, Qianxin
• Is Part Of: Measurement science & technology. Volume 27:Number 12(2016:Dec.)
• Publication Date: 2016-11-02
• Subjects: GNSS attitude determination -- carrier phase -- configuration -- least-squares -- analytical solution; Physical measurements -- Periodicals; Scientific apparatus and instruments -- Periodicals; Equipment and Supplies -- Periodicals; Science -- instrumentation -- Periodicals; Technology -- instrumentation -- Periodicals; Mesures physiques -- Périodiques; Physical measurements; Scientific apparatus and instruments; Periodicals; 502.87
• DOI: 10.1088/0957-0233/27/12/125105
• Languages: English
• ISSNs: 0957-0233

Abstract

Abstract: The GNSS attitude determination using carrier phase measurements with 4 antennas is studied on condition that the integer ambiguities have been resolved. The solution to the nonlinear least-squares is often obtained iteratively, however an analytical solution can exist for specific baseline configurations. The main aim of this work is to design this class of configurations. Both single and double difference measurements are treated which refer to the dedicated and non-dedicated receivers respectively. More realistic error models are employed in which the correlations between different measurements are given full consideration. The desired configurations are worked out. The configurations are rotation and scale equivariant and can be applied to both the dedicated and non-dedicated receivers. For these configurations, the analytical and optimal solution for the attitude is also given together with its error variance–covariance matrix.