On reliable data-driven partial GNSS ambiguity resolution

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• 作者：Andreas Brack
• 关键词：Integer ambiguity resolution ; Partial fixing ; Fixed failure rate ; Generalized integer aperture estimation ; GNSS
• 刊名：GPS Solutions
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：19
• 期：3
• 页码：411-422
• 全文大小：1,974 KB
• 参考文献：Agrell E, Eriksson T, Vardy A, Zeger K (2002) Closest point search in lattices. IEEE Trans Inf Theory 48(8):2201鈥?214View Article
  Bazaraa MS, Sherali HD, Shetty CM (2013) Nonlinear programming: theory and algorithms. Wiley, New York
  Blewitt G (1989) Carrier phase ambiguity resolution for the Global Positioning System applied to geodetic baselines up to 2000 km. J Geophys Res Solid Earth 94(B8):10187鈥?0203View Article
  Brack A, G眉nther C (2014) Generalized integer aperture estimation for partial GNSS ambiguity fixing. J Geod 88(5):479鈥?90View Article
  Dai L, Eslinger D, Sharpe T (2007) Innovative algorithms to improve long range RTK reliability and availability. In: Proc ION NTM 2007, Institute of Navigation, San Diego, USA, pp 860鈥?72
  Euler HJ, Goad CC (1991) On optimal filtering of GPS dual frequency observations without using orbit information. Bull G茅od 65(2):130鈥?43View Article
  Euler HJ, Schaffrin B (1991) On a measure for the discernibility between different ambiguity solutions in the static-kinematic GPS-mode. In: IAG Symposia no 107, Kinematic Systems in Geodesy, Surveying, and Remote Sensing, pp 285鈥?95
  Frei E, Beutler G (1990) Rapid static positioning based on the fast ambiguity resolution approach FARA: theory and first results. Manuscr Geod 15(6):325鈥?56
  Han S (1997) Quality-control issues relating to instantaneous ambiguity resolution for real-time GPS kinematic positioning. J Geod 71(6):351鈥?61View Article
  Hassibi A, Boyd S (1998) Integer parameter estimation in linear models with applications to GPS. IEEE Trans Signal Process 46(11):2938鈥?952View Article
  Hatch RR (1982) The synergism of GPS code and carrier measurements. In: Proceedings of 3rd international symposium on satellite Doppler positioning. Las Cruces, pp 1213鈥?231
  Khanafseh S, Pervan B (2010) New approach for calculating position domain integrity risk for cycle resolution in carrier phase navigation systems. IEEE Trans Aerosp Electron Syst 46(1):296鈥?07View Article
  Lenstra AK, Lenstra HW, Lov谩sz L (1982) Factoring polynomials with rational coefficients. Math Ann 261(4):515鈥?34View Article
  Li T, Wang J (2012) Some remarks on GNSS integer ambiguity validation methods. Surv Rev 44(326):230鈥?38View Article
  Odijk D (2000) Weighting ionospheric corrections to improve fast GPS positioning over medium distances. In: Proceedings of ION GPS 2000, Salt Lake City, pp 1113鈥?123
  Odijk D, Teunissen PJG (2013) Characterization of between-receiver GPS-Galileo inter-system biases and their effect on mixed ambiguity resolution. GPS Solut 17(4):521鈥?33View Article
  Odijk D, Arora BS, Teunissen PJG (2014) Predicting the success rate of long-baseline GPS聽+聽Galileo (partial) ambiguity resolution. J Navig 67(3):385鈥?01View Article
  Parkins A (2011) Increasing GNSS RTK availability with a new single-epoch batch partial ambiguity resolution algorithm. GPS Solut 15(4):391鈥?02View Article
  Schaffrin B, Bock Y (1988) A unified scheme for processing GPS dual-band phase observations. Bull Geod 62(2):142鈥?60View Article
  Teunissen PJG (1995a) The invertible GPS ambiguity transformations. Manuscr Geod 20(6):489鈥?97
  Teunissen PJG (1995b) The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. J Geod 70(1鈥?):65鈥?2View Article
  Teunissen PJG (1999) An optimality property of the integer least-squares estimator. J Geodesy 73(11):587鈥?93View Article
  Teunissen PJG (2001) GNSS ambiguity bootstrapping: theory and application. In: Proceedings of international symposium on kinematic systems in geodesy, geomatics and navigation, pp 246鈥?54
  Teunissen PJG (2003a) Integer aperture GNSS ambiguity resolution. Artif Satell 38(3):79鈥?8
  Teunissen PJG (2003b) Towards a unified theory of GNSS ambiguity resolution. J Global Position Syst 2(1):1鈥?2View Article
  Teunissen PJG, Verhagen S (2009) The GNSS ambiguity ratio-test revisited: a better way of using it. Surv Rev 41(312):138鈥?51View Article
  Teunissen PJG, Joosten P, Tiberius CCJM (1999) Geometry-free ambiguity success rates in case of partial fixing. In: Proceedings of ION NTM 1999, Institute of Navigation, San Diego, pp 201鈥?07
  Tiberius CCJM, De Jonge PJ (1995) Fast positioning using the LAMBDA method. In: Proceedings of DSNS-95, Bergen
  Verhagen S (2004) The GNSS integer ambiguities: estimation and validation. Dissertation, Technische Universiteit Delft
  Verhagen S (2004b) Integer ambiguity validation: an open problem? GPS Solut 8(1):36鈥?3View Article
  Verhagen S, Teunissen PJG (2006) New global navigation satellite system ambiguity resolution method compared to existing approaches. J Guid Control Dyn 29(4):981鈥?91View Article
  Verhagen S, Teunissen PJG (2013) The ratio test for future GNSS ambiguity resolution. GPS Solut 17(4):535鈥?48View Article
  Verhagen S, Teunissen PJG, van der Marel H, Li B (2011) GNSS ambiguity resolution: which subset to fix. In: Proceedings of IGNSS symposium, Sydney
  Verhagen S, Li B, Teunissen PJG (2013) Ps-LAMBDA: ambiguity success rate evaluation software for interferometric applications. Comput Geosci 54:361鈥?76View Article
  Wang J, Stewart M, Tsakiri M (1998) A discrimination test procedure for ambiguity resolution on-the-fly. J Geod 72(11):644鈥?53View Article
  Wang J, Stewart M, Tsakiri M (2000) A comparative study of the integer ambiguity validation procedures. Earth Planets Space 52(10):813鈥?18View Article
  
• 作者单位：Andreas Brack (1)
  
  1. Institute for Communications and Navigation, Technische Universit盲t M眉nchen (TUM), Arcisstr. 21, 80333, Munich, Germany
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geophysics and Geodesy
  Meteorology and Climatology
  Extraterrestrial Physics and Space Sciences
  Automotive and Aerospace Engineering and Traffic
  Electronic and Computer Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1521-1886

文摘

In high-precision global navigation satellite system applications, it is often not possible to simultaneously meet the requirements for fast and reliable integer ambiguity resolution. For a given reliability constraint in form of a user-defined, tolerable probability of an incorrect ambiguity estimate, resolving a subset of ambiguities instead of the full set can be beneficial. We discuss a fixed failure rate implementation of a data-driven, likelihood-ratio-based partial ambiguity resolution technique. A key problem in this context is the efficient determination of a scalar that is a model-dependent threshold value. This problem is approached via a conservative functional approximation of the threshold value. The only input parameter of the function is the integer least-squares failure rate of the system model under consideration. Numerically simulated single and combined system GPS/Galileo single baseline cases with single- and dual-frequency measurements are used to analyze the impact of the approximation. The results indicate that the conservative description hardly affects the performance of the algorithm, while the predefined failure rate is not exceeded. Moreover, it is shown that the presented data-driven partial ambiguity resolution approach clearly outperforms a purely model-driven scheme based on the bootstrapping failure rate.