Optimal Estimation of a Subset of Integers with Application to GNSS
By:
References
- Agrell E., Eriksson T., Vardy A., Zeger K. (2002) Closest Point Search in Lattices, IEEE Transactions on Information Theory, Vol. 48, No. 8, 2201-2214.
- Babai L. (1986) On Lovász Lattice Reduction and the Nearest Lattice Point Problem, Combinatorica, Vol. 6, No. 1, 1-13.
- Blewitt G. (1989) Carrier phase ambiguity resolution for the Global Positioning System applied to geodetic baselines up to 2000 km, Journal of Geophysical Research: Solid Earth, Vol. 94, No. B8, 10187-10203.
- Brack A. (2015) On reliable data-driven partial GNSS ambiguity resolution, GPS Solutions, Vol. 19, No. 3, 411-422.
- Brack A. (2016) Partial Ambiguity Resolution for Reliable GNSS Positioning - a Useful Tool?, Proc. IEEE Aerospace Conference 2016, Big Sky, USA.
- Brack A., Günther C. (2014) Generalized integer aperture estimation for partial GNSS ambiguity fixing, Journal of Geodesy, Vol. 88, No. 5, 479-490.
- Euler H.J., Goad C.C. (1991) On optimal filtering of GPS dual frequency observations without using orbit information, Bulletin Géodésique, Vol. 65, No. 2, 130-143.
- Hatch R.R. (1982) The synergism of GPS code and carrier measurements, Proc. of the 3rd Int. Symp. on Satellite Doppler Positioning 1982, Las Cruces, USA, 1213-1231.
- Jazaeri S., Amiri-Simkooei A., Sharifi M.A. (2014) On lattice reduction algorithms for solving weighted integer least squares problems: comparative study, GPS Solutions, Vol. 18, No. 1, 105-114.
- Khanafseh S., Pervan B. (2010) New Approach for Calculating Position Domain Integrity Risk for Cycle Resolution in Carrier Phase Navigation Systems, IEEE Transactions on Aerospace and Electronic Systems, Vol. 46, No. 1, 296-307.
- Nardo A., Li B., Teunissen P.J.G. (2016) Partial Ambiguity Resolution for Ground and Space-Based Applications in a GPS+Galileo scenario: A simulation study, Advances in Space Research, Vol. 57, No. 1, 30-45.
- Odijk D., Arora B.S., Teunissen P.J.G. (2014) Predicting the Success Rate of Long-baseline GPS+Galileo (Partial) Ambiguity Resolution, Journal of Navigation, Vol. 67, No. 3, 385-401.
- Teunissen P.J.G. (1993) Least-squares estimation of the integer GPS ambiguities, Invited lecture, section IV theory and methodology, IAG general meeting 1993, Beijing, China.
- Teunissen P.J.G. (1995) The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation, Journal of Geodesy, Vol. 70, No. 1-2, 65-82.
- Teunissen P.J.G. (1998) Success probability of integer GPS ambiguity rounding and bootstrapping, Journal of Geodesy, Vol. 72, No. 10, 606-612.
- Teunissen P.J.G. (1999) An optimality property of the integer least-squares estimator, Journal of Geodesy, Vol. 73, No. 11, 587-593.
- Teunissen P.J.G. (2005) On the computation of the best integer equivariant estimator, Artificial Satellites, Vol. 40, No. 3, 161-171.
- Teunissen P.J.G., Joosten P., Tiberius C.C.J.M. (1999) Geometry-free ambiguity success rates in case of partial fixing, Proc. ION NTM 1999, San Diego, USA, 201-207.
- Verhagen S., Li B., Teunissen P.J.G. (2013) Ps-LAMBDA: Ambiguity success rate evaluation software for interferometric applications, Computers & Geosciences, Vol. 54, 361-376.
- Verhagen S., Teunissen P.J.G., van der Marel H., Li B. (2011) GNSS ambiguity resolution: which subset to fix, Proc. IGNSS Symposium 2011, Sydney, Australia.
Language: English
Page range: 123 - 134
Submitted on: May 25, 2016
Accepted on: Nov 2, 2016
Published on: Dec 23, 2016
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Related subjects:
© 2016 A. Brack, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.