Print Email Facebook Twitter The affine constrained GNSS attitude model and its multivariate integer least-squares solution Title The affine constrained GNSS attitude model and its multivariate integer least-squares solution Author Teunissen, P.J.G. Faculty Civil Engineering and Geosciences Department Geoscience and Remote Sensing Date 2012-07-01 Abstract 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. Subject global navigation satellite systemsattitude determinationaffine constrained attitude modelmultivariate integer least squares estimationambiguity dilution of precision To reference this document use: http://resolver.tudelft.nl/uuid:4cd5e45b-1752-484f-9570-3a5b1795d80f DOI https://doi.org/10.1007/s00190-011-0538-z Publisher Springer-Verlag ISSN 1432-1394 Source http://link.springer.com/article/10.1007/s00190-011-0538-z Source Journal of Geodesy, 86(7)2012 Part of collection Institutional Repository Document type journal article Rights (c)2012 Teunissen, P.J.G., and Springer Files PDF teunissen.pdf 418.49 KB Close viewer /islandora/object/uuid:4cd5e45b-1752-484f-9570-3a5b1795d80f/datastream/OBJ/view