附加历元间约束的滑动窗单频实时精密单点定位算法  

Sliding window single-frequency real time precise point positioning algorithm with epoch constraints

作　　者：杨凯淳 吕志平[1,2] 李林阳 邝英才[1] 许炜 郑茜 YANG Kaichun;LÜZhiping;LI Linyang;KUANG Yingcai;XU Wei;ZHENG Xi(Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450001,China;Institute of Space Science and Applied Technology, Harbin Institute of Technology, Shenzhen 518055, China;State Key Laboratory of Geodesy and Earth's Dynamics, Innovation Academy for Precision Measurement Science and Technology, Wuhan 430077, China;Xi'an University of Science and Technology, College of Geomatics, Xi'an 710054, China)

机构地区：[1]信息工程大学地理空间信息学院,河南郑州450001 [2]哈尔滨工业大学(深圳)空间科学与应用技术研究院,广东深圳518055 [3]中国科学院精密测量科学与技术创新研究院大地测量与地球动力学国家重点实验室,湖北武汉430077 [4]西安科技大学测绘科学与技术学院,陕西西安710054

出　　处：《测绘学报》2022年第5期648-657,共10页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(42104033);深圳市科技计划(KQTD20180410161218820);广东省基础与应用基础研究基金(2021A1515012600);河南省重点研发与推广专项(科技攻关)(212102310428)。

摘　　要：针对同时估计电离层延迟导致的单频精密单点定位解算秩亏问题,提出了一种附加历元间约束的多历元递推算法。该算法根据无周跳时前后历元模糊度不变的特性,在每一组多历元联合数据解算时,每颗卫星只设置一个模糊度参数,不需要外部先验信息约束即可解决秩亏问题。另外,本文算法同时考虑了参数及观测值之间的时间相关性,采用附加约束的平方根信息滤波对部分参数进行历元间约束,克服多历元算法的病态性,提高了算法的可靠性。试验采用全球分布的15个IGS跟踪站14 d的数据,静态定位精度优于3 cm,仿动态解约为1.5 dm。与同时估计电离层延迟的单频PPP方法相比,收敛速度提高了24%,与双频无电离层组合PPP的收敛速度基本一致,定位精度提高了30%,高程分量定位精度提高更为明显。To solve the rank deficiency problem of single-frequency precise point positioning(PPP)caused by calculating ionospheric delay simultaneously,an algorithm using multi-epoch observations is proposed in this paper.Based on the characteristic that the ambiguity is invariable without cycle slip,only one ambiguity parameter is set in the multi-epoch joint data,so as to solve the rank deficiency without the constraint of external prior information.In addition,the time correlation between parameters and observations are considered,and the square root information filtering(SRIF)with additional constraints to some parameters between epochs is utilized to overcome the ill-conditioned nature and obtain more reliable results.14 days observation data from 15 IGS stations are used in the experiment,the static positioning accuracy is better than 3 cm,and the simulated dynamic solution is 1.5 dm.Compared with the single-frequency PPP method which estimates the ionospheric delay,the convergence speed is increased by 24%,and approximately reaches the level of the dual-frequency ionospheric-free PPP algorithm.The positioning accuracy is improved by 30%,and especially a significant increase in the vertical component.

关 键 词：多历元递推算法 单频精密单点定位 约束条件 病态性 电离层延迟 

分 类 号：P228[天文地球—大地测量学与测量工程]