Publication Date:
2011-12-31
Description:
A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it still has a significantly improved ambiguity resolution performance over its unconstrained counterpart. The functional and stochastic model is formulated in multivariate form, for one-, two- and three-dimensional antenna arrays, tracking GNSS signals on an arbitrary number of frequencies with two or more antennas. The stochastic model includes the capability to capture variations in the antenna-quality within the array. The multivariate integer least-squares solution of the model parameters is given and the model’s ambiguity success-rate is analysed by means of the ambiguity dilution of precision (ADOP). A general closed-form expression for the affine-constrained ADOP is derived, thus providing an easy-to-use and insightful rule-of-thumb for the ambiguity resolution capabilities of the affine constrained GNSS attitude model. Content Type Journal Article Category Original Article Pages 1-17 DOI 10.1007/s00190-011-0538-z Authors P. J. G. Teunissen, Department of Spatial Sciences, GNSS Research Centre, Curtin University of Technology, Bentley, Australia Journal Journal of Geodesy Online ISSN 1432-1394 Print ISSN 0949-7714
Print ISSN:
0949-7714
Electronic ISSN:
1432-1394
Topics:
Architecture, Civil Engineering, Surveying
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Geosciences