基于张量分析的BDS基线解算方法  

Research on BDS Baseline Solution Method Based on Tensor Analysis

作　　者：潘琼玉 陶庭叶 孟宪伟 戴菊 PAN Qiongyu;TAO Tingye;MENG Xianwei;DAI Ju(Hefei University of Technology,Hefei 230009,China;Hefei Institutes of Physical Science,Chinese Academy of Sciences,Hefei 230031,China)

机构地区：[1]合肥工业大学,安徽合肥230009 [2]中国科学院合肥物质科学研究院,安徽合肥230031

出　　处：《东华理工大学学报（自然科学版）》2024年第5期459-465,共7页Journal of East China University of Technology(Natural Science)

基　　金：国家自然科学基金项目(42374048);安徽省自然科学基金项目(2308085MD125)。

摘　　要：针对基于最小二乘方法的北斗卫星导航系统(BDS)基线解算过程中高阶多维数据的舍去而影响定位精度的问题,提出了一种新的BDS基线解算算法。该算法利用张量可以描述多维数据和捕捉数据之间关联性,构建了一种基于张量分析的BDS基线解算模型。采集B3I频段的北斗数据进行实验,结果表明,张量构建BDS基线解算模型可用于BDS基线解算。为了进一步验证该模型的可靠性,比较张量解算与最小二乘方法的结果,在零基线解算中,张量解算结果优于最小二乘方法解算结果,所占比例为75%;在非零基线解算中,张量解算误差优于最小二乘方法解算误差,所占比例为72%。张量解算可得出更高精度的结果。A new Beidou navigation satellite system(BDS)baseline solution algorithm is proposed to address the issue of high-order multi-dimensional data rounding affecting positioning accuracy in the process of least squares-based BDS baseline solution.This algorithm utilizes the characteristic that tensors can describe the correlation between multidimensional data and captured data,and constructs a BDS baseline solution model based on tensor analysis.It collects Beidou data in the B3I frequency band for experiments,and the results show that tensor-based BDS baseline solution models can be used for BDS baseline solution.In order to further verify the reliability of the model,the results of tensor solution were compared with those of the least squares method.In the zero baseline solution,the proportion of tensor solution results superior to the least squares method solution results was 75%.In non-zero baseline calculations,the tensor solution error outperforms the least squares method solution error by 72%.The tensor solution can yield higher precision outcomes.

关 键 词：北斗卫星导航系统 张量 基线解算 最小二乘 高精度定位 

分 类 号：P237[天文地球—摄影测量与遥感]