星间差分GRAPHIC观测量单频精密单点定位算法

提出了一种基于星间差分GRAPHIC观测量的单频精密单点定位算法,采用正反向滤波实现了静态和动态解算功能。该算法的优点是不需要外部电离层模型进行电离层延迟改正。采用4个IGS站7d的数据和一组机载GPS动态数据进行解算实验,结果表明:静态定位E,N和U方向的RMS分别为0.035,0.007和0.080m;动态定位E,N和U方向的RMS分别为0.117,0.122和0.180m。     

单频精密单点定位观测模型和电离层处理方法比较

利用单频码、相位和GRAPHIC组合3个观测量的两两组合可以构造3种单频精密单点定位观测模型:基于码和GRAPHIC观测量的C-G模型,基于GRAPHIC和相位观测量的G-P模型和基于码和相位观测量的C-P模型。针对电离层延迟改正问题,考虑了最高精度的模型改正方法——IGS格网电离层改正和估计电离层延迟参数两种方案。采用全球分布的15个IGS监测站16d的数据和一组机载动态GPS数据进行解算实验。结果表明,不同观测模型和不同的电离层延迟处理方法,定位效果有明显差异。     

局域观测网高精度电离层延迟估计和应用

针对用户对高精度电离层延迟产品的迫切需求,研究了基于局域参考站网络进行高精度电离层延迟的估计和内插方法,分析讨论了应用获取的电离层延迟进行单频单站数据处理的精度。结果表明,通过局域参考站观测可以实现优于7 cm的高精度电离层延迟服务。采用高精度的电离层延迟产品,单频单站用户2 h静态观测在N、E和U这3个方向的精度可分别达到3.5、5.5和8.6 cm。动态定位结果表明,受电离层延迟内插结果与解算模式影响,模糊度参数收敛速度较慢,但收敛之后,N、E和U这3个方向的均方根可分别达到3.1、5.2和7.0 cm。研究成果可为高精度电离层延迟的解算与产品服务提供理论依据与技术保障,并为单频单站用户在导航定位中的应用提供参考。     

山东区域电离层模型的建立及精度评估

针对电离层延迟改正对单频接收机用户带来误差较大的问题,该文基于球谐函数借助山东区域CORS双频观测数据建立山东区域电离层模型,并对硬件延迟偏差(DCB)和电子含量进行可靠性、稳定性分析,进一步使用单频精密单点定位(PPP)验证山东区域电离层模型的有效性。实验结果表明:测站DCB解算精度稳定在0.4ns内,解算卫星DCB与欧洲定轨中心(CODE)的偏差总体稳定在0.5ns内,区域电离层模型与CODE解算VTEC差值的均方根为1.22TECU,STD为0.93TECU,对山东区域单频PPP而言,山东区域电离层模型比CODE发布全球电离层模型在N、E、U方向精度明显提高。同时,建立的山东区域电离层模型从时间分辨率、空间分辨率上均优于CODE中心发布全球电离层模型。     

新的区域电离层模型及单频长基线精度分析

电离层延迟是影响GPS精密定位的主要因素,对单频接收机的影响尤为明显。介绍了一种新的基于区域双频观测网构建电离层模型的方法,并选取德国境内平均基线超过300 km(最长基线为461 km)的一个长距离观测网连续10 d的数据对模型进行了检测分析。实验证明,基于该电离层模型,网内单频接收机用户可获得接近双频观测数据的解算精度,即使对于200 km的长距离基线,单频数据的基线解算结果都能够达到平面方向6 mm,高程方向2.5 cm。区域电离层延迟模型构造方法可被有效应用于GPS、GLONASS和GALILEO等各类卫星导航定位系统,满足事后、实时或准实时单频接收机精密数据处理的需要。     

基于原始观测值的单频精密单点定位算法

研究了一种基于GPS原始观测值的单频PPP算法。该算法通过增加电离层延迟先验信息、空间和时间约束的虚拟观测方程,将电离层延迟当作未知参数与其他定位参数一并进行估计来高效修正电离层延迟误差。通过使用全球178个IGS站1d的实测数据对本算法的收敛速度、定位精度和电离层VTEC的精度进行检验与分析。结果表明,该算法的收敛速度和稳定性均得到了改善,其静态单频单天PPP解的精度可达2~3cm、模拟动态单频单天PPP解的精度可达2~3dm,并且单频PPP与双频PPP提取的电离层总电子含量平均偏差小于5个TECU,可作为一种附属定位产品使用。     

基于北斗GEO的电离层延迟修正方法比较与分析

电离层延迟是影响导航定位精度的最主要因素。北斗卫星导航系统采用Klobuchar模型修正单频接收机用户的电离层延迟误差,对于双频接收机,可以利用不同频率信号的伪距观测数据解算得到电离层延迟值。为比较两种方法在天津地区的电离层延迟修正效果,利用NovAtel GPStation6接收机(GNSS电离层闪烁和TEC监测接收机)采集到的卫星实测数据进行计算。以国际全球导航卫星系统服务组织(IGS)发布的全球电离层格网数据为参考,对两种方法的修正效果进行比较分析。结果表明,在天津地区,利用双频观测值解算电离层延迟比Klobuchar模型计算结果更加精确,且平均每天的修正值达到IGS发布数据的82.11％,比Klobuchar模型计算值高948％      

GPS静态精密单点定位算法精度分析

采用精密轨道和钟差，利用Bernese软件解算得到亚洲地区13个IGS跟踪站的站坐标、对流层ZTD和接收机钟差，将解算的结果与CODE发布的结果对比发现：静态PPP算法解算的N方向收敛精度明显优于E方向和U方向，4~6 h后，坐标偏差在1 cm左右；NEU RMS均值分别为0.45、0.29、0.69 cm，ZTD RMS均值为0.85 cm，接收机钟差RMS均值为0.14 ns。试验表明：精密单点定位算法具有较高的精度和可靠性，可为实际工程测量及相关地球物理信号研究提供理论依据。     

精密单点定位模糊度快速固定算法

精密单点定位非差模糊度解算和收敛时间是制约其应用和发展的主要因素。本文从基本观测模型出发,将消电离层模糊度分解为宽巷和窄巷分别固定,并对固定方法做了改进,削弱了初始历元相关性对收敛速度的影响;提出非差相位延迟估计(PDE)解算模型,在不利用区域或全球参考站的前提下解算卫星与接收机相位延迟。通过对中国6个IGS站数据处理结果显示,93%的模糊度可以在20 min内固定。固定后定位精度在E,N和U方向上分别提高了63%,53%和24%;定位精度可以达到毫米至厘米级。对于数据质量较好的站点(如上海站)平面精度可达3 mm,模糊度固定后精密单点定位有了很大提高。     

电离层延迟变化自模型化的载波相位平滑伪距算法

传统的单频载波相位平滑伪距算法因受到电离层延迟变化的影响，容易出现平滑结果发散和精度下降的问题，而现有的解决方案对精度提高有限或需要外部精密电离层改正数据的支持。本文研究了电离层的变化规律并建立回归模型，在此基础上提出了一种自模型化电离层延迟变化的单频载波相位平滑伪距算法。此算法利用伪距和载波观测量中含有的电离层延迟信息进行电离层延迟建模，从平滑伪距中扣除了历元间电离层延迟变化值，有效避免了平滑伪距的发散问题。利用自编软件GNSSer实现了电离层自模型化的载波平滑伪距算法，并采用静态与动态实测观测数据进行了定位试验和精度分析。算例结果表明：①长时段常规Hatch滤波受电离层影响非常严重；②自模型化电离层延迟可达厘米级的精度，在30 min窗口内，使用线性移动开窗拟合法效果最佳；③自模型化电离层改正可以有效消除平滑伪距电离层影响，随着时段窗口的增加，精度没有降低；④利用本文提出的算法进行逐历元单频平滑伪距单点定位，在静态与动态的NEU方向都达到了亚分米级别的定位精度，其中，动态定位测试中水平和高程方向精度为6.25和10.4 cm，比原始伪距分别提高了5.4倍和3.3倍。     

GPS/BDS组合实时动态精密单点定位

针对常规模式下。单系统实时精密单点定位精度受接收机环境和可视卫星数量影响严重等问题,研究了GPS/BDS双系统实时精密单点定位,采用非差无电离层组合载波和伪距观测值,详细推论了Kalman滤波参数估计方法的基本原理,并利用其进行参数估计,最后通过IGS站和实测数据进行了实时PPP实验,实验表明:GPS/BDS双系统定位模式较GPS单系统有明显改善,在E、N、U方向收敛后RMS值分别达到0.125 m、0.117 m、0.289 m,较单系统在各方向分别改善了11.9%、18.1%、22.5%。证明了GPS/BDS实时PPP能够达到分米级到厘米级定位精度。     

改正通道延迟的GLONASS/BDS组合伪距定位

由于俄罗斯的GLONASS卫星间频率存在差异,测站硬件延迟误差无法被接收机钟差参数吸收,提出为每颗卫星估计一个通道延迟改正参数的方法,以提升GLONASS/BDS组合伪距定位精度.?实验表明:加入通道延迟改正能有效降低GLONASS定位误差,改正后东(E)、北(N)、天顶(U)方向误差的均方根(RMS)值分别减小了0....     

Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites

China completed a basic COMPASS navigation network with three Geostationary and three Inclined Geosynchronous satellites in orbit in April 2011. The network has been able to provide preliminary positioning and navigation functions. We first present a quality analysis using 1-week COMPASS measurements collected in Wuhan. Satellite visibility and validity of measurements, carrier-to-noise density ratio and code noise are analyzed. The analysis of multipath combinations shows that the noise level of COMPASS code measurements is higher than that of GPS collected using the same receiver. Second, the results of positioning are presented and analyzed. For the standalone COMPASS solutions, an accuracy of 20 m can be achieved. An accuracy of 3.0 m for the vertical, 1.5 m for the North and about 0.6–0.8 m for the East component is obtained using dual-frequency code only measurements for a short baseline. More importantly, code and phase measurements of the short baseline are processed together to obtain precise relative positioning. Kinematic solutions are then compared with the ground truth. The precision of COMPASS only solutions is better than 2 cm for the North component and 4 cm for the vertical. The standard deviation of the East component is smaller than 1 cm, which is even better than that of the East component of GPS solutions. The accuracy of GPS/COMPASS combination solutions is at least 20 % better than that of GPS alone. Furthermore, the geometry-based residuals of double differenced phase and code measurements are analyzed. The analysis shows that the noise level of un-differenced phase measurements is about 2–4 mm on both B1 and B2 frequencies. For the code measurements, the noise level is less than 0.45 m for B1 CA and about 0.35 m for B2 P code. Many of the COMPASS results presented are very promising and have been obtained for the first time.     

BDS-3精密单点定位模糊度解算及性能评估

基于国际GNSS服务(IGS)提供的MGEX (Multi-GNSS Experiment)的观测数据,对北斗三号卫星导航系统(BDS-3)相位小数偏差(UPD)进行估计,进一步开展基于精密单点定位(PPP)的浮点/固定解试验,分析评估其定位性能. 结果表明:北斗卫星导航系统(BDS)定位精度与GPS大致相当; BDS-3 PPP在东(E)、北(N)、天顶(U)三个方向上浮点解的平均均方根(RMS)分别为1.4 cm、1.0 cm、1.6 cm;通过模糊度固定算法,可将三个方向的定位精度提升至0.9 cm、0.7 cm、1.4 cm.      

Characterization of between-receiver GPS-Galileo inter-system biases and their effect on mixed ambiguity resolution

The Global Positioning System (GPS) and Galileo will transmit signals on similar frequencies, that is, the L1–E1 and L5–E5a frequencies. This will be beneficial for mixed GPS and Galileo applications in which the integer carrier phase ambiguities need to be resolved, in order to estimate the positioning unknowns with centimeter accuracy or better. In this contribution, we derive the mixed GPS + Galileo model that is based on “inter-system” double differencing, that is, differencing the Galileo phase and code observations relative to those corresponding to the reference or pivot satellite of GPS. As a consequence of this, additional between-receiver inter-system bias (ISB) parameters need to be solved as well for both phase and code data. We investigate the size and variability of these between-receiver ISBs, estimated from L1 and L5 observations of GPS, as well as E1 and E5a observations of the two experimental Galileo In-Orbit Validation Element (GIOVE) satellites. The data were collected using high-grade multi-GNSS receivers of different manufacturers for several zero- and short-baseline setups in Australia and the USA. From this analysis, it follows that differential ISBs are only significant for receivers of different types and manufacturers; for baselines formed by identical receiver types, no differential ISBs have shown up; thus, implying that the GPS and GIOVE data are then fully interoperable. Fortunately, in case of different receiver types, our analysis also indicates that the phase and code ISBs may be calibrated, since their estimates, based on several datasets separated in time, are shown to be very stable. When the single-frequency (E1) GIOVE phase and code data of different receiver types are a priori corrected for the differential ISBs, the short-baseline instantaneous ambiguity success rate increases significantly and becomes comparable to the success rate of mixed GPS + GIOVE ambiguity resolution based on identical receiver types.     

TJS-2 geostationary satellite orbit determination using onboard GPS measurements

This study analyzes the quality of onboard data of tracking signals from GPS satellites on the far side of the earth and determines the orbit of the geostationary satellite using code and carrier phase observations with 30-h and 3-day orbit arc length. According to the analysis results, the onboard receiver can track 6–8 GPS satellites, and the minimum and maximum carrier to noise spectral densities were 24 and 45 dB-Hz, respectively. For a GPS receiver on a high-altitude platform above the navigation constellations, the blocking of the earth and a weak signal strength usually cause a piece-wise GPS signal tracking and an increase in the number of ambiguity parameters. Individual GPS satellites may be continuously tracked for as little as several minutes and as long as 3 h. Moreover, considering the negative sign of elevation angles reflects the fact that GPS satellites are tracked below the receiver in the study. GPS satellites appear mainly in the elevation angle range of ??53° to ??83°, and dilution of precision values could reach ten or one hundred and more. Also, it is observed that when a signal suffers from atmospheric refraction, other GPS signals tracked simultaneously by the receiver experience strong systematic errors in the code observations. Based on single-frequency code and carrier phase measurements, the mean 3D root mean square (RMS) value of the overlap comparisons between 30-h orbit determination arcs is 2.14 m. However, we found that there were also some biases in the carrier phase residuals, which contributed to poor orbit accuracy. To eliminate the effects of the biases, we established a correction sequence for each GPS satellite. After corrections, the mean 3D RMS was reduced to 0.99 m, representing a 53% improvement.     

Performance of the L2C civil GPS signal under various ionospheric scintillation effects

As GPS is modernizing, there are currently fourteen satellites transmitting L2C civil code and seven satellites transmitting L5 signal. While the GPS observables are subject to several sources of errors, the ionosphere is one of the largest error sources affecting GPS signals. Small irregularities in the electrons density along the GPS radio signal propagation path cause ionospheric scintillation that is characterized by rapid fluctuations in the signal amplitude and phase. The ionospheric scintillation effects are stronger in equatorial and high-latitude geomagnetic latitude regions and occur mainly due to equatorial anomaly and solar storms. Several researchers have analyzed the L2C signal quality since becoming available in December, 2005. We analyze the performance of L2C using GPS data from stations in the equatorial region of Brazil, which is subject of weak, moderate and strong ionospheric scintillation conditions. The GPS data were collected by Septentrio PolaRxS–PRO receivers as part of the CIGALA/CALIBRA network. The analysis was performed as a function of scintillations indexes S4 and Phi60, lock time (time interval in seconds that the carrier phase is tracked continuously without cycle slips), multipath RMS and position variation of precise point positioning solutions. The analysis shows that L2C code solutions are less affected by multipath effects than that of P2 when data are collected under weak ionospheric scintillation effects. In terms of analysis of positions, the kinematic PPP results using L2C instead P2 codes show accuracy improvements up to 33 % in periods of weak or strong ionospheric scintillation. When combining phase and code collected under weak scintillation effects, the results by applying L2C against P2 provide improvement in accuracy up to 59 %. However, for data under strong scintillation effects, the use of L2C for PPP with code and phase does not provide improvements in the positioning accuracy.     

Experiment on driving precipitable water vapor from ground-based GPS network in Chengdu Plain

The estimates of total zenith delay are derived using Bernese GPS Software V4. 2 based on GPS data every 30 s from the first measurement experiment of a ground-based GPS network in Chengdu Plain of Southwest China during the period from July to September 2004. Then the estimates of 0.5 hourly precipitable water vapor (PWV) derived from global positioning system (GPS) are obtained using meteorological data from automatic weather stations (AWS). The comparison of PWV derived from GPS and those from radiosonde observations is given for the Chengdu station, with RMS (root mean square) differences of 3.09m. The consistency of precipitable water vapor derived from GPS to those from radiosonde is good. It is concluded that Bevis’ empirical formula for estimating the weighted atmospheric mean temperature can be applicable in Chengdu area because the relationship of GPS PWV with Bevis’ formula and GPS PWV with radiosonde method shows a high correlation. The result of this GPS measurement experiment is helpful both for accumulating the study of precipitable water vapor derived from GPS in Chengdu areas located at the eastern side of the Tibetan Plateau and for studying spatial-temporal variations of regional atmospheric water vapor through many disciplines cooperatively.     

Analyses and Solutions of Errors on GPS／GLONASS Positioning

This paper focuses mainly on the major errors and their reduction approaches pertaining to combined GPS/GLONASS positioning.To determine thd difference in the time reference systems,different receiver clock offsets are introduced with respect to GPS and GLONASS system time.A more desirable method for introducing a independent unknown parameter of fifth receiver,which can be canceled out when forming difference measurements,is discussed.The error of orbit integration and the error of transformation parameters are addressed in detail.Results of numerical integration are give.To deal with the influence of ionospheric delay,a method for forming dual-frequency ionospheric free carrier phase measurements is detailed.