薛树强, 杨元喜. 抗差高斯-雅克比组合平差法[J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 932-937. DOI: 10.13203/j.whugis20130247
引用本文: 薛树强, 杨元喜. 抗差高斯-雅克比组合平差法[J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 932-937. DOI: 10.13203/j.whugis20130247
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XUE Shuqiang, YANG Yuanxi. Robust Gauss-Jacobi Combinatorial Adjustment[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 932-937. DOI: 10.13203/j.whugis20130247
Citation: XUE Shuqiang, YANG Yuanxi. Robust Gauss-Jacobi Combinatorial Adjustment[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 932-937. DOI: 10.13203/j.whugis20130247
shu

抗差高斯-雅克比组合平差法

Robust Gauss-Jacobi Combinatorial Adjustment

    摘要
  • 摘要: 基于粗差出现的频率信息,建立了观测污染分布模型和粗差数目二项分布模型,讨论了超定方程组基础解粗差分群的性质。通过对基础解解集进行聚类分析,提取基础解解集的零粗差分群,并提出了抗差高斯雅克比组合平差法。以GPS伪距单点定位为例,利用观测方程基础解的零粗差分群进行了抗差高斯雅可比组合平差。算例表明,即使杠杆观测为粗差观测,抗差高斯雅可比组合平差法仍具有高效性和稳健性。

     

    Abstract: Traditionally,theprocessofgrosserrordetectioniscloselyassociatedwithparameteresti mator.Unreliableinitialparametersmaycausetheprocessofgrosserrordetectiontofail,andviceversa.Inthispaper,themixednormaldistributionofobservationandthebinomialdistributionofgrosserrornumberareintroducedbyusingtheprioroccurrencefrequencyofgrosserror;Thepaperdiscussesthepropertiesofgross errorclusterscomposedofbasicsolutions,andfurtherproposearo bustGauss Jacobicombinatorialadjustmentmethodonthezero gross errorcluster.Atlast,thepro posedmethodisappliedtoGPSpseudo rangingpositioning.showthattheproposedmethodisrobustandhighefficientevengrosserroroccursonleverageobservation.

     

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