Combined GPS/GLONASS precise positioning for long-distance baselines

Combined GPS/GLONASS can increase the accuracy and reliability of positioning especially in some applications with many impediments. Due to the atmosphere delay, the commonly used methods for processing short distance baselines can not be implemented in long distance baselines. In this paper, a new data processing strategy for long distance baselines is proposed, which uses the properties of some combination observables of combined GPS/GLONASS and distance baselines may come to the order of 10?8 and combined GPS/GLONASS improves the accuracy over that of GPS-only positioning, which brings benefit to crust deformation monitoring and research on geodynamics.     

基于相位差分的GPS/GLONASS组合定位算法研究

针对短基线详细研究GPS/GLONASS组合定位函数模型,引入一种简单易行的模糊度求解方法以正确固定GLONASS模糊度,最后笔者自编软件实现基于相位差分的GPS/GLONASS高精度组合定位,并采用实际数据验证其正确性和有效性。结果表明：GPS/GLONASS组合系统优于单系统,采用相位观测值可获得高精度定位结果。     

Combined GPS/GLONASS data processing

To obtain the GLONASS satellite position at an epoch other than reference time,the satellite‘s equation of motion has to be integrated with broadcasting ephemerides.The iterative detecting and repairing method of cycle slips based on triple difference residuals for combined GPS/GLONASS positioning and the iterative ambiguity resolution approach suitable for combined post processing positioning are discussed systematically.Experiments show that millimter accuracy can be achieved in short baselines with a few hours‘ dual frequency or even single frequency GPS/GLONASS carrier phase observation,and the precision of dual frequency observations is distinctly higher than that of single frequency observations.     

Combined GPS/GLONASS data processing

To obtain the GLONASS satellite position at an epoch other than reference time, the satellite's equation of motion has to be integrated with broadcasting ephemerides. The iterative detecting and repairing method of cycle slips based on triple difference residuals for combined GPS/GLONASS positioning and the iterative ambiguity resolution approach suitable for combined post processing positioning are discussed systematically. Experiments show that millimeter accuracy can be achieved in short baselines with a few hours' dual frequency or even single frequency GPS/GLONASS carrier phase observations, and the precision of dual frequency observations is distinctly higher than that of single frequency observations.     

GLONASS频间码偏差实时估计方法及其在RTK定位中的应用

GLONASS伪距频间偏差难以利用经验模型消除。在RTK定位解算中,尤其是需顾及大气延迟的中长距离异质基线,IFCB会降低模糊度收敛速度,甚至导致模糊度固定错误。本文基于双差HMW组合和消电离层组合,提出一种站间IFCB实时估计算法,实时获取各频段的非组合站间单差IFCB。试验结果表明,站间IFCB长期稳定,可达数个纳秒;在GPS/GLONASS观测值先验误差比值为3：5的条件下,未改正的IFCB可能导致基线GPS/GLONASS组合RTK定位性能比单GPS差。将本文提出算法应用于RTK定位,能够有效消除IFCB的影响,RTK模糊度浮点解精度、定位收敛速度和固定率都有明显改善,部分基线的RTK定位首次固定时间从9.2 s提高到2.1 s,固定解比率从84.5%提高到97.9%。     

Performance analysis of integrated GPS/GLONASS carrier phase-based positioning

Due to the different signal frequencies for the GLONASS satellites, the commonly-used double-differencing procedure for carrier phase data processing can not be implemented in its straightforward form, as in the case of GPS. In this paper a novel data processing strategy, involving a three-step procedure, for integrated GPS/GLONASS positioning is proposed. The first is pseudo-range-based positioning, that uses double-differenced (DD) GPS pseudo-range and single-differenced (SD) GLONASS pseudo-range measurements to derive the initial position and receiver clock bias. The second is forming DD measurements (expressed in cycles) in order to estimate the ambiguities, by using the receiver clock bias estimated in the above step. The third is to form DD measurements (expressed in metric units) with the unknown SD integer ambiguity for the GLONASS reference satellite as the only parameter (which is constant before a cycle slip occurs for this satellite). A real-time stochastic model estimated by residual series over previous epochs is proposed for integrated GPS/GLONASS carrier phase and pseudo-range data processing. Other associated issues, such as cycle slip detection, validation criteria and adaptive procedure(s) for ambiguity resolution, is also discussed. The performance of this data processing strategy will be demonstrated through case study examples of rapid static positioning and kinematic positioning. From four experiments carried out to date, the results indicate that rapid static positioning requires 1 minute of single frequency GPS/GLONASS data for 100% positioning success rate. The single epoch positioning solution for kinematic positioning can achieve 94.6% success rate over short baselines (<6 km).     

PERFORMANCE ANALYSIS OF INTEGRATED GPS/GLONASS CARRIER PHASE-BASED POSITIONING

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GPS／GLONASS组合定位中模糊度的处理

在对GPS／GLONASS组合定位的周跳探测和修复方法进行深入研究的基础上，论述了适合于两种数据联合解算的GPS／GLONASS模糊度迭代处理方法及相应的基于FARA方法的整周模糊度固定方法。在现有BERNESE Ver4.0GSP数据处理软件的基础上，增加及改进了其中的若干模块，从而研制出组合定位系统高精度数据处理软件，并进行了试验计算。结果表明，所开发的组合定位系统数据处理软件内、外符合精度均达到mm级，证明了这种高精度相对定位理论、方法、软件的正确性和可行性。     

基于部分固定策略的多系统长距离基准站间模糊度快速解算

基准站间整周模糊度的快速准确固定是实现网络RTK高精度快速定位的前提。对于GPS/GLONASS/BDS组合系统长基线,模糊度维数大幅度增加,加之观测噪声、大气残余误差等因素的影响,很难快速准确地固定所有模糊度,尤其是低高度角卫星模糊度。提出了一种基于部分固定策略的GPS/GLONASS/BDS组合网络长基线部分模糊度快速解算方法,以截止高度角、模糊度固定成功率以及Ratio值为主要参数,优选模糊度固定子集,以实现长距离基准站间模糊度快速固定。通过实测GPS/GLONASS/BDS三系统长基线数据的实验验证,部分模糊度固定方法可有效避免低高度角卫星对模糊度固定的影响,从而显著提高模糊度固定时的成功率及Ratio值,缩短长距离基准站间模糊度准确固定所需的时间。     

Estimation and evaluation of real-time precipitable water vapor from GLONASS and GPS

The revitalized Russian GLONASS system provides new potential for real-time retrieval of zenith tropospheric delays (ZTD) and precipitable water vapor (PWV) in order to support time-critical meteorological applications such as nowcasting or severe weather event monitoring. In this study, we develop a method of real-time ZTD/PWV retrieval based on GLONASS and/or GPS observations. The performance of ZTD and PWV derived from GLONASS data using real-time precise point positioning (PPP) technique is carefully investigated and evaluated. The potential of combining GLONASS and GPS data for ZTD/PWV retrieving is assessed as well. The GLONASS and GPS observations of about half a year for 80 globally distributed stations from the IGS (International GNSS Service) network are processed. The results show that the real-time GLONASS ZTD series agree quite well with the GPS ZTD series in general: the RMS of ZTD differences is about 8 mm (about 1.2 mm in PWV). Furthermore, for an inter-technique validation, the real-time ZTD estimated from GLONASS-only, GPS-only, and the GPS/GLONASS combined solutions are compared with those derived from very long baseline interferometry (VLBI) at colocated GNSS/VLBI stations. The comparison shows that GLONASS can contribute to real-time meteorological applications, with almost the same accuracy as GPS. More accurate and reliable water vapor values, about 1.5–2.3 mm in PWV, can be achieved when GLONASS observations are combined with the GPS ones in the real-time PPP data processing. The comparison with radiosonde data further confirms the performance of GLONASS-derived real-time PWV and the benefit of adding GLONASS to stand-alone GPS processing.     

基于DREAMNET的GPS/BDS/GLONASS多系统网络RTK定位性能分析

随着BDS系统完成亚太地区组网、GLONASS系统再次实现满星座部署以及GPS系统的现代化,多系统集成已逐步成为网络RTK技术的发展趋势。本文结合笔者所在课题组自主研发的网络RTK数据处理系统DREAMNET,对不同卫星系统组合模式下的定位精度进行比较分析。试验结果表明,GPS/BDS/GLONASS网络RTK和GPS/BDS网络RTK的定位精度最高,GPS、BDS单系统网络RTK次之。此外,随着高度角的增加,GPS单系统网络RTK的可用性显著降低,而GPS/BDS/GLONASS网络RTK在高度角为40°时依然可以在99.84%的时间里提供水平精度0.01 m、高程精度0.025 m的定位服务。最后,对15 d的定位结果进行统计,包括不依赖GPS系统的BDS和BDS/GLONASS在内的6种组合方式皆可达到水平0.01 m、高程0.025 m的定位精度,其中GPS/BDS/GLONASS网络RTK则可以得到水平0.006 m、高程0.015 m的定位精度,证明DREAMNET的定位精度和稳定性完全可以满足测绘作业的需要。     

GPS/GLONASS组合静态相位相对定位算法

论文介绍了GPS/GLONASS组合静态相位相对定位模型,将GLONASS双差观测方程的模糊度参数表示成参考卫星的单差模糊度和双差模糊度参数;用误差分析法证明了单差模糊度按实参数估计不影响基线解算精度,而GLONASS双差模糊度必须按整参数进行解算;用Helmert方差分量估计确定GPS和GLONASS观测值的合理权比。实际观测数据处理结果表明：GPS/GLONASS组合定位较单一系统解算的基线精度均有提高,尤其比GLONASS单系统的解算精度有显著提高,比GPS单系统的精度也有适当提高,其中单历元基线解算精度约提高了10%,当单一系统的可用卫星数少于4颗时,GPS/GLONASS组合定位更具有应用价值。     

Modeling and assessment of combined GPS/GLONASS precise point positioning

A combination of GPS and GLONASS observations can offer improved reliability, availability and accuracy for precise point positioning (PPP). We present and analyze a combined GPS/GLONASS PPP model, including both functional and stochastic components. Numerical comparison and analysis are conducted with respect to PPP based on only GPS or GLONASS observations to demonstrate the benefits of the combined GPS/GLONASS PPP. The observation residuals are analyzed for more appropriate stochastic modeling for observations from different navigation systems. An analysis is also made using different precise orbit and clock products. The performance of the combined GPS/GLONASS PPP is assessed using both static and kinematic data. The results indicate that the convergence time can be significantly reduced with the addition of GLONASS data. The positioning accuracy, however, is not significantly improved by adding GLONASS data if there is a sufficient number of GPS satellites with good geometry.     

GPS/GLONASS组合单点定位中选星算法的研究

通过分析影响定位精度的因素,给出了一种基于高度角和GDOP的组合选星算法,研究了其算法在GPS/GLONASS组合单点定位中的应用,在提高定位效率的同时提高了定位精度。结果表明,在动态定位中能快速选出较少的卫星组合用于定位解算,能满足动态用户对实时性的需求。     

组合GNSS系统定位数据质量与精度比较分析

本文对组合GNSS系统进行静态相对定位测量与RTK测量试验,研究结果表明:在静态相对定位测量中,BDS的数据利用率、多路径效应误差优于GPS与GLONASS,BDS的定位精度优于GLONASS略低于GPS;组合系统中GPS/BDS与GPS/BDS/GLONASS的定位精度较优,引入GLONASS对定位精度改善的作用不明显。在RTK测量中,当观测条件理想时,GPS/BDS较GPS可见卫星数目多,PDOP值低,中误差小。当观测条件较差时,GPS/BDS较GPS可见卫星数目多,PDOP平均值低,中误差小,限差内固定解获得时间减少76.1%;GPS/BDS/GLONASS较GPS/BDS在中误差、水平精度和垂直精度上更优,限差内固定解获得时间更稳定可靠。     

Reliable single-epoch ambiguity resolution for short baselines using combined GPS/BeiDou system

GNSS single-epoch real-time kinematic (RTK) positioning depends on correct ambiguity resolution. If the number of observed satellites in a single epoch is insufficient, which often happens with a standalone GNSS system, the ambiguity resolution is difficult to achieve. China’s BeiDou Navigation Satellite System has been providing continuous passive positioning, navigation and timing services since December 27, 2012, covering China and the surrounding area. This new system will increase the number of satellites in view and will have a significant effect on successful ambiguity resolution. Since the BeiDou system is similar to GPS, the procedure of data processing is easier than that for the Russian GLONASS system. We briefly introduce the time and the coordinate system of BeiDou and also the BeiDou satellite visibility in China, followed by the discussion on the combined GPS/BeiDou single-epoch algorithm. Experiments were conducted and are presented here, in which the GPS/BeiDou dual-frequency static data were collected in Wuhan with the baseline distance varying from 5 to 13 km, and processed in separate and combined modes. The results indicate that, compared to a standalone GPS or BeiDou system, the combined GNSS system can increase the successful ambiguity fixing rate for single epochs and can also improve the precision of short baselines determination.     

卡尔曼滤波方法的BDS/GLONASSRTK定位算法

针对单系统RTK定位精度以及稳定性不足的问题,该文提出了BDS、GLONASS双系统联合RTK定位方法,通过对双系统进行时空基准统一,基于附加模糊度参数的卡尔曼滤波函数模型双系统RTK定位算法的研究,开发了BDS/GLONASS双系统RTK定位程序,对超短基线、短基线实测数据进行计算,并且与GPS系统结果进行比对。实验结果表明,BDS、GLONASS、BDS/GLONASS这3种模式定位精度虽稍逊于GPS,但也能够达到厘米级精度,从而提供高精度的定位服务。     

GPS and GLONASS Integration: Modeling and Ambiguity Resolution Issues

The integration of GPS with GLONASS may be considered a major milestone in satellite-based positioning, because it can dramatically improve the reliability and productivity of said positioning. However, unlike GPS, GLONASS satellites transmit signals at different frequencies, which result in significant complexity in terms of modeling and ambiguity resolution for integrated GPS and GLONASS positioning systems. In this paper, a variety of mathematical and stochastic modeling methodologies and ambiguity resolution strategies are analyzed, and some remaining research challenges are identified. The exercise, of developing mathematical models and processing methodologies for integrated systems based on more than one satellite system, is a valuable one as it identified crucial issues concerned with the combination of any two or more microwave positioning systems, be they satellite-based or terrestrial. Hence these are experiences that can be applied to future projects that might integrate GPS with Galileo, or GLONASS and Galileo, or all three. ? 2001 John Wiley & Sons, Inc.     

顾及码频间偏差的GPS/GLONASS实时卫星钟差估计

在进行GPS/GLONASS联合卫星钟差估计时,GLONASS码频间偏差（inter-frequency bias,IFB）因卫星频率间的差异而无法被测站接收机钟差参数吸收,其一部分将进入GLONASS卫星钟差估值中。通过引入多个"时频偏差"参数（inter-system and inter-frequency bias,ISFB）及附加基准约束对测站GLONASS码IFB进行函数模型补偿,实现其与待估卫星钟差参数的有效分离,并对所估计实时卫星钟差和实时精度单点定位（real-time precise point positioning,RT-PPP）进行精度评估。结果表明,在卫星钟差估计观测方程中忽略码IFB,会明显降低GLONASS卫星钟差估值精度;新方法能有效避免码IFB对卫星钟差估值的影响,所获得GPS、GLONASS卫星钟差与ESA（European Space Agency）事后精密钟差产品偏差平均均方根值分别小于0.2 ns、0.3 ns。利用实时估计卫星钟差进行静态RT-PPP,当观测时段长为2 h时,GPS单系统、GPS/GLONASS组合系统的3D定位精度优于10 cm,GLONASS单系统3D定位精度约为15 cm;三种模式24 h单天解的3D定位精度均优于5 cm。     

GPS/GLONASS卫星导航系统组合定位的定权方法研究

正确合理地确定观测值的权是GPS/GLONASS导航系统组合定位中的一个关键技术问题。本文对GPS/GLONASS导航系统组合定位中几种常用的定权方法进行了比较分析,并以GPS/GLONASS的实测数据为例进行了实验,结果表明:在GPS/GLONASS导航系统组合定位中等精度定权的定位结果精度较差,卫星高度角定权和误差分布律概率密度函数定权后的定位结果精度相当,但较等精度定权法的定位精度都有所提高,赫尔默特方差分量估计法定权的定位结果精度最优。