{"title":"Analytical Solution for Positioning Based on Iridium NEXT SOPs TOA/FDOA","authors":"Zhenbo Xu;Honglei Qin;Yansong Du","doi":"10.1109/JSEN.2024.3486099","DOIUrl":null,"url":null,"abstract":"The low Earth orbit (LEO) satellite signals of opportunity (SOPs), with their strong antijamming capabilities, can fulfill the positioning requirements of users in global navigation satellite system (GNSS)-denied environments. Traditional LEO satellite SOPs positioning methods typically employ numerical techniques to solve nonlinear equations. However, such methods are sensitive to initial conditions, and under the circumstances of significant initial errors, the positioning results may converge slowly or even diverge. In this article, a two-step weighted least squares (TSWLSs) analytical solution method is proposed based on Iridium NEXT SOPs. This method utilizes Iridium NEXT satellite pseudorange and pseudorange-rate measurements, eliminating the need for prior knowledge about the receiver’s position and directly estimating the receiver’s position. Theoretical derivations and simulation results demonstrate that the proposed method, under the assumption of Gaussian measurement noise, achieves the Cramér-Rao lower bound (CRLB) based on the pseudorange/pseudorange-rate positioning model. A practical evaluation is conducted by comparing the traditional Iridium NEXT pseudorange-rate single-point positioning method with the proposed method. Experimental results indicate that the proposed method reduces convergence time by 78.7% and improves positioning accuracy by 34.1%, while also eliminating the need for initial position information.","PeriodicalId":447,"journal":{"name":"IEEE Sensors Journal","volume":"24 24","pages":"41451-41461"},"PeriodicalIF":4.3000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Sensors Journal","FirstCategoryId":"103","ListUrlMain":"https://ieeexplore.ieee.org/document/10739398/","RegionNum":2,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The low Earth orbit (LEO) satellite signals of opportunity (SOPs), with their strong antijamming capabilities, can fulfill the positioning requirements of users in global navigation satellite system (GNSS)-denied environments. Traditional LEO satellite SOPs positioning methods typically employ numerical techniques to solve nonlinear equations. However, such methods are sensitive to initial conditions, and under the circumstances of significant initial errors, the positioning results may converge slowly or even diverge. In this article, a two-step weighted least squares (TSWLSs) analytical solution method is proposed based on Iridium NEXT SOPs. This method utilizes Iridium NEXT satellite pseudorange and pseudorange-rate measurements, eliminating the need for prior knowledge about the receiver’s position and directly estimating the receiver’s position. Theoretical derivations and simulation results demonstrate that the proposed method, under the assumption of Gaussian measurement noise, achieves the Cramér-Rao lower bound (CRLB) based on the pseudorange/pseudorange-rate positioning model. A practical evaluation is conducted by comparing the traditional Iridium NEXT pseudorange-rate single-point positioning method with the proposed method. Experimental results indicate that the proposed method reduces convergence time by 78.7% and improves positioning accuracy by 34.1%, while also eliminating the need for initial position information.
近地轨道卫星机会信号(SOPs)具有较强的抗干扰能力,可以满足全球卫星导航系统(GNSS)拒信环境下用户的定位需求。传统的LEO卫星SOPs定位方法通常采用数值方法求解非线性方程。但是,这种方法对初始条件比较敏感,在初始误差较大的情况下,定位结果可能收敛缓慢甚至发散。本文提出了一种基于Iridium NEXT sop的两步加权最小二乘(TSWLSs)解析求解方法。该方法利用铱星NEXT伪距和伪距速率测量,消除了对接收机位置的先验知识和直接估计接收机位置的需要。理论推导和仿真结果表明,该方法在假设测量噪声为高斯的情况下,实现了基于伪距/伪距速率定位模型的cram - rao下界(CRLB)。将传统的铱星NEXT伪橙率单点定位方法与本文提出的方法进行了比较。实验结果表明,该方法的收敛时间缩短了78.7%,定位精度提高了34.1%,同时不需要初始位置信息。
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