Nonlinear and Robust Location for Low-cost Shipborne Laser Ranging Positioning

References

• Awange, J. and E. Grafarend. 2003. Explicit solution of the overdetermined three-dimensional resection problem. Journal of Geodesy 76(11–12):605–616.
   Web of Science ®Google Scholar
• Bates, D.M. and D.G. Watts. 1980. Relative curvature measures of nonlinearity. Journal of the Royal Statistical Society. Series B (Methodological) 42(1):1–25.
   Google Scholar
• Biasion, A., A. Cina, M. Pesenti, and F. Rinaudo. 2005. An integrated GPS and Total Station instrument for cultural heritage surveying: the LEICA SmartStation example. Proceeding Cipa XX international symposium, Torino, Canada.
   Google Scholar
• Box, M. 1971. Bias in nonlinear estimation. Journal of the Royal Statistical Society. Series B (Methodological) 33(2):171–201.
   Web of Science ®Google Scholar
• Chan, W.L. and F.B. Hsiao. 2010. Implementation of the Rauch-Tung-Striebel smoother for sensor compatibility correction of a fixed-wing unmanned air vehicle. Sensors 11(4):3738–64.
   Web of Science ®Google Scholar
• Chang, X.-W. and Y. Guo. 2005. Huber's M-estimation in relative GPS positioning: computational aspects. Journal of Geodesy 79(6–7):351–362.
   Web of Science ®Google Scholar
• Clarke, G. 1980. Moments of the least squares estimators in a non-linear regression model. Journal of the Royal Statistical Society. Series B (Methodological) 42(2):227–237.
   Google Scholar
• Dai, Z., R. Ziebold, A. Born, and E. Engler. 2012. Heading-determination using the sensor-fusion based maritime PNT Unit. Vol. 4388, 799–807.
   Google Scholar
• Dang, Y. and S. Xue. 2014. A New Newton-type Iterative Formula for Over-determined Distance Equations. Proceedings of Joint IAG Assembly “Earth on the Edge: Science for a Sustainable Planet (Rizos, Chris, Willis, Pascal (Eds.))”, 2011, Berlin/Heidelberg: Springer, IAG Symp, vol. 139, 607–614.
   Google Scholar
• Hu, P., Z. Gao, Y. She, L. Cai, and F. Han. 2015. Shipborne heading determination and error compensation based on a dynamic baseline. GPS Solutions 19(3):403–410.
   Web of Science ®Google Scholar
• Huber, P.J. 1964. Robust estimation of a location parameter. The Annals of Mathematical Statistics 35(1):73–101.
   Google Scholar
• Jazaeri, S. and A. Amiri-Simkooei. 2014. Weighted total least squares for solving non-linear problem: GNSS point positioning. Survey Review: 1752270614Y.0000000132.
   Google Scholar
• Jeudy, L.M.A. 1988. First and second moments of non-linear least-squares estimators application to explicit least-square adjustments. Bulletin Geodesique 62(2):113–124.
   Google Scholar
• Junlin, Y., C.C.J.M. Tiberius, P.J.G. Teunissen, G. Bellusci, and G.J.M. Janssen. 2010. A framework for low complexity least-squares localization with high accuracy. IEEE Transactions on Signal Processing 58(9):4836–4847.
   Web of Science ®Google Scholar
• Kołakowska, M. and E. Świerczyńska. 2013. Selected aspects of using terrestrial laser scanning technology as the source of additional data for building information modeling. Challenges of Modern Technology 4(4):26–32.
   Google Scholar
• Ojeda, L. and J. Borenstein. 2000. Experimental results with the KVH C-100 fluxgate compass in mobile robots. Social Sciences Journal of Colleges of Shanxi 9(3):e91846.
   Google Scholar
• Rezvani, M.-H., A. Sabbagh, and A.A. Ardalan. 2015. Robust automatic reduction of multibeam bathymetric data based on M-estimators. Marine Geodesy 38(4):327–344.
   Web of Science ®Google Scholar
• Sirola, N. 2010. Closed-form algorithms in mobile positioning: Myths and misconceptions. 7th Workshop on Positioning Navigation and Communication (WPNC), 38–44.
   Google Scholar
• Sweeney, A.D., C.D. Chadwell, J.A. Hildebrand, and F.N. Spiess. 2005. Centimeter-level positioning of seafloor acoustic transponders from a deeply-towed interrogator. Marine Geodesy 28(1):39–70.
   Web of Science ®Google Scholar
• Teunissen, P.J.G. 1989. First and second moments of non-linear least-squares estimators. Journal of Geodesy 63(3):253–262.
   Google Scholar
• Teunissen, P.J.G. 1990a. Nonlinear inversion of geodetic and geophysical data: Diagnosing nonlinearity. In: Developments in Four-Dimensional Geodesy. Brunner, F.K. and C. Rizos (eds.), Berlin/Heidelberg: Springer, 241–264.
   Google Scholar
• Teunissen, P.J.G. 1990b. Nonlinear least squares. Manuscripta Geodaetica 15(3):137–150.
   Google Scholar
• Xue, S. and Y. Yang. 2014. Gauss-Jacobi combinatorial adjustment and its modification. Survey Review 46(337):298–304.
   Web of Science ®Google Scholar
• Xue, S. and Y. Yang. 2015. Positioning configurations with the lowest GDOP and their classification. Journal of Geodesy 89(1):49–71.
   Web of Science ®Google Scholar
• Xue, S., Y. Yang, and Y. Dang. 2014a. A closed-form of Newton method for solving over-determined pseudo-distance equations. Journal of Geodesy 88(5):441–448.
   Web of Science ®Google Scholar
• Xue, S., Y. Yang, and Y. Dang. 2016. Barycentre method for solving distance equations. Survey Review 48(348):188–194.
   Web of Science ®Google Scholar
• Xue, S., Y. Yang, Y. Dang, and W. Chen. 2014b. Dynamic positioning configuration and its first-order optimization. Journal of Geodesy 88(2):127–143.
   Web of Science ®Google Scholar
• Yan, J., C. Tiberius, G. Bellusci, and G. Janssen. 2008. Feasibility of Gauss-Newton method for indoor positioning. IEEE/ION Position, Location and Navigation Symposium. IEEE, 660–670.
   Google Scholar
• Yang, F., X. Lu, J. Li, L. Han, and Z. Zheng. 2011. Precise positioning of underwater static objects without sound speed Profile. Marine Geodesy 34(2):138–151.
   Web of Science ®Google Scholar
• Yang, Y. 1994. Robust estimation for dependent observations. Manuscripta Geodaetica 19(1):10–17.
   Google Scholar
• Yang, Y. 1999. Robust estimation of geodetic datum transformation. Journal of Geodesy 73(5):268–274.
   Web of Science ®Google Scholar
• Yang, Y. and W. Gao. 2006. An optimal adaptive Kalman filter. Journal of Geodesy 80(4):177–183.
   Web of Science ®Google Scholar
• Yang, Y., L. Song, and T. Xu. 2002. Robust estimator for correlated observations based on bifactor equivalent weights. Journal of Geodesy 76(6):353–358.
   Web of Science ®Google Scholar
• Young, L.E., S.C. Wu, and T.H. Dixon. 1987. Decimeter GPS positioning for surface element of sea floor geodesy system. Proceedings International Symposium on Marine Positioning. Springer, 223–232.
   Google Scholar
• Yuanxi, Y. 1991. Robust bayesian estimation. Bulletin Géodésique 65(3):145–150.
   Google Scholar
• Zhang, K., Y. Li, J. Zhao, and C. Rizos. 2016. Underwater navigation based on real-time simultaneous sound speed profile correction. Marine Geodesy 39(1):98–111.
   Web of Science ®Google Scholar