305
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Ambiguity resolution with double troposphere parameter restriction for long range reference stations in NRTK System

, , , &
Pages 429-437 | Received 11 Jan 2014, Accepted 27 Oct 2014, Published online: 17 Nov 2014

References

  • Belsley D. A. 1991. Conditioning diagnostics – collinearity and weak data in regression. New York: Wiley.
  • Böhm J., Niell A., Tregoning P. and Schuh H. 2006. Global Mapping Function (GMF): a new empirical mapping function based on numerical weather model data. Geophysical Research Letters, 33(7), pp. 1–4.
  • Chen H. Y., Rizos C. and Han S. 2004. An instantaneous ambiguity resolution procedure suitable for medium-scale GPS reference station networks. Survey Review, 37(291), pp. 396–410. doi: 10.1179/sre.2004.37.291.396
  • Hansen PC. 1987.The truncated SVD as a method for regularization. BIT Numerical Mathematics, 27(4). pp. 534–553. doi: 10.1007/BF01937276
  • Hansen P. C. and O’Leary DP. 1993. The use of the L-curve in the regularization of discrete ill-posed problems. SIAM Journal on Scientific Computing, 14(6), pp. 1487–1503. doi: 10.1137/0914086
  • Hu G., Abbey D. A., Castleden N., Featherstone W. E., Earls C., Ovstedal O. and Weihing D. 2005. An approach for instantaneous ambiguity resolution for medium-to long-range multiple reference station networks. GPS Solutions, 9(1), pp. 1–11. doi: 10.1007/s10291-004-0120-8
  • Boehm J., Heinkelmann R. and Schuh H. 2007, Short note: a global model of pressure and temperature for geodetic applications. Journal of Geodesy, 81, pp. 679–683. doi: 10.1007/s00190-007-0135-3
  • Lagler K., Schindelegger M. Böhm J., Krásná H. and Nilsson T. 2013. GPT2: empirical slant delay model for radio space geodetic techniques. Geophysical Research Letters, 40, pp. 1–5. doi: 10.1002/grl.50288
  • Kouba J. 2008. Implementation and testing of the gridded Vienna Mapping Function 1 (VMF1). Journal of Geodesy, 82(4), pp. 193–205. doi: 10.1007/s00190-007-0170-0
  • Li T. and Wang JL. 2012. Some remarks on GNSS integer ambiguity validation methods. Survey Review, 44(326), pp. 230–238. doi: 10.1179/1752270611Y.0000000027
  • Luo X. W., Ou J. K., Yuan Y. B., Gao J. Y., Jin X. L., Zhang K. F. and Xu HJ. 2008. An improved regularization method for estimating near real-time systematic errors suitable for medium-long GPS baseline solutions. Earth Planets and Space, 60(8), pp. 793–800. doi: 10.1186/BF03352830
  • Niell AE. 1996. Global mapping functions for the atmosphere delay at radio wavelengths. Journal of Geophysical Research, 101(B2), pp. 3227–3246. doi: 10.1029/95JB03048
  • Ou J. K. and Wang ZJ. 2004. An improved regularization method to resolve integer ambiguity in rapid positioning using single frequency GPS receivers. Chinese Science Bulletin, 49(2), pp. 196–200. doi: 10.1360/03WD0210
  • Ou JK. 2004. Uniform expression of solutions of ill-posed problems in surveying adjustment and the fitting method by a selection of the parameter weights. Actageodaetica et Cartographica Sinica, 33(4), pp. 284–288 (in Chinese).
  • Pan S. G., Ke F. Y., Wang Q. and Deng J. 2009. Method for integer ambiguity resolution in GPS network RTK. Journal of Southeast University, 25(4), pp. 491–495.
  • Rizos C. 2002. Network RTK research and implementation: a geodetic perspective. Journal of Global Positioning Systems, 1(2), pp. 144–150. doi: 10.5081/jgps.1.2.144
  • Rizos C. and Han S. 2003. Reference station network based RTK systems-concepts and progress. Wuhan University Journal of Natural Sciences, 8(2), pp. 566–574. doi: 10.1007/BF02899820
  • Sun H., Cannon M. E. and Melgard TE. 1999. Real-time GPS reference network carrier phase ambiguity resolution. In: Proceedings of the ION National Technical Meeting, San Diego, CA, USA, 25–27 January 1999, Manassas, VA: ION.
  • Teunissen PJG. 1995. The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70(1–2), pp. 65–82. doi: 10.1007/BF00863419
  • Tikhonov A. N. and Arsenin VY. 1977. Solution of III-posed problems. Washington, DC: VH Winston & Sons.
  • Vollath U., Buecherl A., Landau H., Pagels C. and Wagner B. 2000. Multi-base RTK positioning using virtual reference stations. Proceedings of ION GPS, 95, pp. 123–131.
  • Wübbena G., Bagge A., Seeber G., Boeder V. and Hankemeier P. 1996. Reducing distance dependent errors for real-time precise DGPS applications by establishing reference station networks. Proceedings of ION GPS. Institute of Navigation, 9, pp. 1845–1852.
  • Zhou L. T., Huang D. F., Lin G. Y. and Li CG. 2007. A Kalman filtering algorithm for online integer ambiguity resolution in reference station network. Acta Geodaetica et Cartographica Sinica, 36(1), pp. 37–42.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.