GNSS多天线基线网单历元模糊度同步解算法
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摘要
提出多天线基线网单历元模糊度同步解算法,其具体实现步骤为:1)根据宽巷组合模糊度易于固定的优点,采用附加已知基线长度约束法同步解算各基线的宽巷模糊度,得到dm～cm级精度的近似基线分量;2)将解算得到的各近似基线分量作为约束,同步解算各基线的基频模糊度,以获取mm级精度的基线矢量。该方法的关键在于检验各历元宽巷模糊度解算的正确性,以获取可靠的近似基线分量,为解算各基线的基频模糊度提供准确的基线先验信息。由于动态情况下各历元观测信息比较少,单纯依赖ratio检验不可靠,提出结合基线误差、单位权中误差、基线网模糊度闭合环及ratio值等对多组宽巷模糊度进行检验,避免ratio值设置不当导致模糊度检验中发生纳伪和弃真问题。实测数据结果证明,该处理方法使得模糊度解算的成功率提高1%～2%,可以获取移动平台更丰富的导航信息,提高其服务能力。
We propose a method of simultaneous ambiguity resolution based on multi-antenna network for single epoch, applying the following steps. Firstly, wide lane ambiguities from each baseline with length constraints are resolved synchronously, and the approximate baseline vector of the dm～cm level precision is obtained. Then, the basic frequency ambiguities of each baseline are resolved with the wide-lane baseline components constraints, and the mm level baseline components are derived. The key of this approach is to verify that wide lane ambiguities are correct, namely, the priori information for resolving the basic frequency ambiguities is accurate. Owing to few observations for one epoch, the tested ambiguity using only ratio is not reliable. A comprehensive judging criterion combining baseline error, mean square error of weight unit, the closed loop of baseline network, and ratio value is proposed; this can avoid accepting the wrong ambiguity and rejecting the correct ambiguity. The successful rate of ambiguity resolution using the above-mentioned algorithm is increased by 1%～2%. More navigational information for the mobile platform can be obtained and its service ability can be improved.
We propose a method of simultaneous ambiguity resolution based on multi-antenna network for single epoch, applying the following steps. Firstly, wide lane ambiguities from each baseline with length constraints are resolved synchronously, and the approximate baseline vector of the dm～cm level precision is obtained. Then, the basic frequency ambiguities of each baseline are resolved with the wide-lane baseline components constraints, and the mm level baseline components are derived. The key of this approach is to verify that wide lane ambiguities are correct, namely, the priori information for resolving the basic frequency ambiguities is accurate. Owing to few observations for one epoch, the tested ambiguity using only ratio is not reliable. A comprehensive judging criterion combining baseline error, mean square error of weight unit, the closed loop of baseline network, and ratio value is proposed; this can avoid accepting the wrong ambiguity and rejecting the correct ambiguity. The successful rate of ambiguity resolution using the above-mentioned algorithm is increased by 1%～2%. More navigational information for the mobile platform can be obtained and its service ability can be improved.
引文
[1] Teunissen P J G, Giorgi G, Buist P J. Testing of a New Single-Frequency GNSS Carrier Phase Attitude Determination Method: Land, Ship and Aircraft Experiments[J]. GPS Solutions, 2011, 15(1):15-28
[2] Chen W, Qin H. New Method for Single Epoch, Single Frequency Land Vehicle Attitude Determination Using Low-End GPS Receiver[J]. GPS Solutions, 2012, 16(3):329-338
[3] Wang B, Miao L, Wang S, et al. A Constrained LAMBDA Method for GPS Attitude Determination[J]. GPS Solutions, 2009, 13(2):97-107
[4] 唐卫明, 孙红星, 刘经南. 附有基线长度约束的单频数据单历元LAMBDA方法整周模糊度确定[J]. 武汉大学学报:信息科学版, 2005,30(5):444-446(Tang Weiming, Sun Hongxing,Liu Jingnan. Ambiguity Resolution of Single Epoch Single Frequency Data with Baseline Length Constraint Using LAMBDA Algorithm[J]. Geomatics and Information Science of Wuhan University, 2005,30(5):444-446)
[5] Teunissen P J G. The Affine Constrained GNSS Attitude Model and Its Multivariate Integer Least-Squares Solution[J]. Journal of Geodesy, 2012, 86(7):547-563
[6] Wang C. Development of a Low-Cost GPS-Based Attitude Determination System[D]. Calgary:University of Calgary, 2003
[7] 欧吉坤,王振杰.单频GPS快速定位中模糊度解算的一种新方法[J].科学通报, 2003, 48(24):2 572-2 575(Ou Jikun, Wang Zhenjie. An Improved Regularization Method to Resolve Integer Ambiguity in Rapid Positioning Using Single Frequency GPS Receivers[J]. Chinese Science Bulletin, 2003, 48(24):2 572-2 575)
[8] Verhagen S, Teunissen P J G. The Ratio Test for Future GNSS Ambiguity Resolution[J]. GPS Solutions, 2013, 17(4):535-548
[9] Luo X. Mathematical Models for GPS Positioning[M]. Berlin: Springer Berlin Heidelberg, 2013
[10] Luo N. Precise Relative Positioning of Multiple Moving Platforms Using GPS Carrier Phase Observables[J]. Adviser: Gerard Lachap, 2001,62(12):5 601
[2] Chen W, Qin H. New Method for Single Epoch, Single Frequency Land Vehicle Attitude Determination Using Low-End GPS Receiver[J]. GPS Solutions, 2012, 16(3):329-338
[3] Wang B, Miao L, Wang S, et al. A Constrained LAMBDA Method for GPS Attitude Determination[J]. GPS Solutions, 2009, 13(2):97-107
[4] 唐卫明, 孙红星, 刘经南. 附有基线长度约束的单频数据单历元LAMBDA方法整周模糊度确定[J]. 武汉大学学报:信息科学版, 2005,30(5):444-446(Tang Weiming, Sun Hongxing,Liu Jingnan. Ambiguity Resolution of Single Epoch Single Frequency Data with Baseline Length Constraint Using LAMBDA Algorithm[J]. Geomatics and Information Science of Wuhan University, 2005,30(5):444-446)
[5] Teunissen P J G. The Affine Constrained GNSS Attitude Model and Its Multivariate Integer Least-Squares Solution[J]. Journal of Geodesy, 2012, 86(7):547-563
[6] Wang C. Development of a Low-Cost GPS-Based Attitude Determination System[D]. Calgary:University of Calgary, 2003
[7] 欧吉坤,王振杰.单频GPS快速定位中模糊度解算的一种新方法[J].科学通报, 2003, 48(24):2 572-2 575(Ou Jikun, Wang Zhenjie. An Improved Regularization Method to Resolve Integer Ambiguity in Rapid Positioning Using Single Frequency GPS Receivers[J]. Chinese Science Bulletin, 2003, 48(24):2 572-2 575)
[8] Verhagen S, Teunissen P J G. The Ratio Test for Future GNSS Ambiguity Resolution[J]. GPS Solutions, 2013, 17(4):535-548
[9] Luo X. Mathematical Models for GPS Positioning[M]. Berlin: Springer Berlin Heidelberg, 2013
[10] Luo N. Precise Relative Positioning of Multiple Moving Platforms Using GPS Carrier Phase Observables[J]. Adviser: Gerard Lachap, 2001,62(12):5 601