一种新的GNSS相对定位解算模型  

New Mathematical Model for GNSS Relative Positioning Resolving

作　　者：张熙[1,2] 黄丁发[1,2] 廖华 冯威[1,2] 

机构地区：[1]西南交通大学地球科学与环境工程学院,四川成都610031 [2]西南交通大学高速铁路运营安全空间信息技术国家地方联合工程实验室,四川成都610031 [3]四川地震局减灾救助研究所,四川成都610041

出　　处：《西南交通大学学报》2015年第3期485-489,共5页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(41374032);国家863计划资助项目(2012AA12A209);长江学者和教育部创新团队发展计划资助项目

摘　　要：为克服传统模型在全球导航卫星系统(GNSS)相对定位解算中存在的不足,提出了一种新的解算模型.与传统的一阶泰勒展开式不同,该模型利用参考站坐标事先已知,可使最小二乘解算过程中系数矩阵保持不变,从而能够清晰地描述最小二乘解算的收敛过程,有利于定位结果的误差分析和提高模糊度函数法等坐标域搜索方法的效率.实验结果显示,新模型与传统的一阶泰勒展开式的定位精度一致,验证了模型的有效性和可靠性,可以在相对定位解算中代替一阶泰勒展开式使用.In order to overcome the problem of the traditional model, a new model was proposed for relative positioning resolving of global navigation satellite system （GNSS）. With the coordinates of reference station known in advance, this model is different from the traditional model that its coefficient matrix remains unchanged in resolving, so it is convenient to describe the converging process of the least squares and benefit for error analysis and improving search efficiency in coordinate domain, and this model has certain application potentiality. The experimental results show that the proposed model has the same position accuracy as the traditional model, i. e. , the first-order Taylor series expansion, to verify its validity and reliability, so it can be used to replace the traditional model in relative positioning.

关 键 词：相对定位 解算模型 一阶泰勒展开式 最小二乘解算 基线向量 

分 类 号：P228[天文地球—大地测量学与测量工程]