顾及病态性的BDS-3三频周跳探测与修复新方法  

A new triple-frequency BDS-3 cycle slip detection and repair method considering theⅢ-condition problem based on the WACMRI algorithm

作　　者：闫文杰 沈佳磊 皮秋阳 邵梓铭 章繁 YAN Wenjie;SHEN Jialei;PI Qiuyang;SHAO Ziming;ZHANG Fan(Army Engineering University of PLA,Nanjing 210000,China)

机构地区：[1]陆军工程大学,南京210000

出　　处：《测绘科学》2024年第9期30-38,共9页Science of Surveying and Mapping

基　　金：陆军工程大学青年自主创新基金项目(KYTYHKQTZQ23010)。

摘　　要：针对现有三频GNSS周跳修复存在的法方程病态性及可靠性问题,提出一种基于残差信息动态调整系数矩阵的三频周跳加权估计算法,该算法通过构造系数矩阵补偿观测向量误差的方式解决周跳估值方程病态性的问题,并提出基于残差信息的ratio检验统计量构造方法,大幅提升算法可靠性。采用BDS-3实测数据验证算法有效性,结果表明:随着探测系数组合条件数增加,所提算法周跳修复效果提升显著。当条件数增加至10901时,所提算法修复成功率依然可达86.8%,明显优于最小二乘取整法的45.7%和LAMBDA搜索算法的76.8%。即使面对病态性较弱的探测系数组合时,所提算法依然能够实现近100%的周跳修复成功率。基于构造的ratio假设检验方法,有效降低了系统错判、误判风险,提升了修复可靠性。To address the issues of ill-conditioning and reliability in the existing three-frequency GNSS cycle slip repair,this paper proposes a triple-frequency cycle slip weighted estimation algorithm that dynamically adjusts the coefficient matrix based on residual information.The algorithm resolves the issue of ill-conditioning in the cycle slip estimation equation by constructing a coefficient matrix to compensate for the errors in the observation vector.Additionally,a ratio test statistic construction method based on residual information is proposed,which significantly enhances the reliability of the algorithm.The effectiveness of the algorithm is validated using actual data from the BDS-3 system.The results indicate that:with the increasement of the condition number of the detection coefficient combinations,the repaired performance of the proposed algorithm in cycle slip repair is significantly improved.When the condition number reaches 10901,the success rate of the proposed algorithm in repairing cycle slips is still as high as 86.8%,outperforming the least squares integer method at 45.7%and the LAMBDA search algorithm at 76.8%.When facing detection coefficient combinations with less severe ill-conditioning,the proposed algorithm can still achieve a cycle slip repair success rate close to 100%.The ratio hypothesis test method constructed in this study effectively reduces the risk of system misjudgment and false judgment,thereby enhancing the reliability of the repair.

关 键 词：三频观测值 病态性 ratio检验 周跳探测与修复 

分 类 号：P228[天文地球—大地测量学与测量工程]