GPS,Galileo, QZSS and IRNSS differential ISBs: estimation and application

Knowledge of inter-system biases (ISBs) is essential to combine observations of multiple global and regional navigation satellite systems (GNSS/RNSS) in an optimal way. Earlier studies based on GPS, Galileo, BDS and QZSS have demonstrated that the performance of multi-GNSS real-time kinematic positioning is improved when the differential ISBs (DISBs) corresponding to signals of different constellations but transmitted at identical frequencies can be calibrated, such that only one common pivot satellite is sufficient for inter-system ambiguity resolution at that particular frequency. Recently, many new GNSS satellites have been launched. At the beginning of 2016, there were 12 Galileo IOV/FOC satellites and 12 GPS Block IIF satellites in orbit, while the Indian Regional Navigation Satellite System (IRNSS) had five satellites launched of which four are operational. More launches are scheduled for the coming years. As a continuation of the earlier studies, we analyze the magnitude and stability of the DISBs corresponding to these new satellites. For IRNSS this article presents for the first time DISBs with respect to the L5/E5a signals of GPS, Galileo and QZSS for a mixed-receiver baseline. It is furthermore demonstrated that single-frequency (L5/E5a) ambiguity resolution is tremendously improved when the multi-GNSS observations are all differenced with respect to a common pivot satellite, compared to classical differencing for which a pivot satellite is selected for each constellation.     

IRNSS和QZSS在各自主服务区域的L5定位性能评估：独立系统与GPS联合

印度区域导航卫星系统（IRNSS）与日本准天顶系统（QZSS）是近年来宣布正式运行的两个区域卫星导航系统。本文首先评估了IRNSS和QZSS在各自主服务区域的L5信号单点定位性能。然后,为了探究导航星座结构差异对各区域系统联合GPS在城市峡谷环境下定位性能的影响程度,详细对比分析了卫星截止高度角为5°、15°、25°、35°、45°、55°时各区域系统在其主服务区内联合GPS定位的表现。结果表明：① IRNSS在其主服务区内可提供全天连续独立L5定位服务,水平方向定位精度小于2.50m,高程方向定位精度小于4.10m;② QZSS在其主服务区内只能提供全天部分时段的独立L5定位服务,水平方向定位精度小于4.80m,高程方向定位精度小于7.40m;③由于QZSS独特的星座结构,其在主服务区城市峡谷环境中联合GPS定位的性能要优于IRNSS在其相应主服务区联合GPS定位的表现,尤其是在天空视野有限的情况下。本文结果对决策者设计新的区域导航系统具有一定的参考价值。     

IRNSS/NavIC and GPS: a single- and dual-system L5 analysis

The Indian Regional Navigation Satellite System (IRNSS) has recently (May 2016) become fully operational. In this contribution, for the fully operational IRNSS as a stand-alone system and also in combination with GPS, we provide a first assessment of L5 integer ambiguity resolution and positioning performance. While our empirical analyses are based on the data collected by two JAVAD receivers at Curtin University, Perth, Australia, our formal analyses are carried out for various onshore locations within the IRNSS service area. We study the noise characteristics (carrier-to-noise density, measurement precision, time correlation), the integer ambiguity resolution performance (success rates and ambiguity dilution of precision), and the positioning performance (ambiguity float and ambiguity fixed). The results show that our empirical outcomes are consistent with their formal counterparts and that the GPS L5-data have a lower noise level than that of IRNSS L5-data, particularly in case of the code data. The underlying model in our assessments varies from stand-alone IRNSS (L5) to IRNSS \(+\) GPS (L5), from unconstrained to height-constrained and from kinematic to static. Significant improvements in ambiguity resolution and positioning performance are achievable upon integrating L5-data of IRNSS with GPS.     

Single-frequency L5 attitude determination from IRNSS/NavIC and GPS: a single- and dual-system analysis

The Indian Regional Navigation Satellite System (IRNSS) has recently (May 2016) reached its full operational capability. In this contribution, we provide the very first L5 attitude determination analyses of the fully operational IRNSS as a standalone system and also in combination with the fully operational GPS Block IIF along with the corresponding ambiguity resolution results. Our analyses are carried out for both a linear array of two antennas and a planar array of three antennas at Curtin University, Perth, Australia. We study the noise characteristics (carrier-to-noise density, measurement precision, time correlation), the integer ambiguity resolution performance (LAMBDA, MC-LAMBDA) and the attitude determination performance (ambiguity float and ambiguity fixed). A prerequisite for precise and fast IRNSS attitude determination is the successful resolution of the double-differenced integer carrier-phase ambiguities. In this contribution, we will compare the performance of the unconstrained and the multivariate-constrained LAMBDA method. It is therefore also shown what improvements are achieved when the known body geometry of the antenna array is rigorously incorporated into the ambiguity objective function. As our ambiguity-fixed outcomes show consistency between empirical and formal results, we also formally assess the precise attitude determination performance for several locations within the IRNSS service area.     

基于GPS/GLONASS/BDS组合的单历元单频短基线RTK定位算法研究

随着多个GNSS系统不断建成,天空中的导航卫星越来越多,使得RTK作业时的观测量也越来越多,这对提高单频单历元RTK的可靠性起到了至关重要的作用。本文分析了GLONASS信号频分多址的特点,对GPS/GLONASS/BDS单历元单频RTK定位的算法和模型进行了研究,提出了一种适用于三系统组合条件下短基线单频单历元RTK定位的算法,并采用实测数据对算法进行了验证,结果表明,GPS/GLONASS/BDS单历元单频RTK定位是可行的。     

GNSS广播星历轨道和钟差精度分析

为了对多个全球导航卫星系统（global navigation satellite system, GNSS）当前的广播星历精度进行一个全面的分析,对比了2014—2018年共5 a的GNSS广播星历与精密星历,并对全球定位系统（global positioning system, GPS）、格洛纳斯卫星导航系统（global navigation satellite system, GLONASS）、伽利略卫星导航系统（Galileo satellite navigation system, Galileo）、北斗卫星导航系统（BeiDou navigation satellite system, BDS）、准天顶卫星系统（quasi-zenith satellite system, QZSS）等5个系统的广播星历长期精度变化进行了分析。结果表明:5 a中GPS的广播星历轨道及钟差精度最稳定;GLONASS的广播星历轨道精度稳定性较好,但其钟差精度存在较大的离散度;Galileo得益于具备全面运行能力（full operational capability, FOC）卫星的大量发射及运行,其广播星历轨道、钟差精度大幅度变好,切向轨道、法向轨道与钟差精度已赶超GPS;BDS的广播星历轨道精度离散度较大,钟差精度出现不稳定现象;QZSS的广播星历轨道与钟差精度的稳定性与离散度相对最差。以2018年1 a的广播星历与精密星历为例分析了各个系统当前的广播星历精度,结果表明,当前GPS、GLONASS、Galileo、BDS、QZSS的考虑轨道误差与钟差误差贡献的空间信号测距误差（signal-in-space ranging error,SISRE）分别为0.806 m、2.704 m、0.320 m、1.457 m、1.645 m,表明Galileo广播星历整体精度最高,GPS次之,其次分别是BDS、QZSS和GLONASS。只考虑轨道误差贡献的SISRE分别为0.167 m、0.541 m、0.229 m、0.804 m、0.675 m,表明GPS广播星历轨道精度最高,其次分别是Galileo、GLONASS、QZSS和BDS。GPS卫星广播星历中新型号卫星的钟差精度总体要优于旧型号卫星。     

QZSS/IRNSS对BDS在中国定位性能增强的评估

通过STK软件对BDS、QZSS、IRNSS卫星星座结构仿真的基础上,选择BDS、BDS/QZSS、BDS/IRNSS、BDS/QZSS/IRNSS、QZSS/IRNSS等定位方式对中国大陆单观测站与整体范围最小可见卫星数、GDOP值、定位误差进行覆盖分析,确定了QZSS与IRNSS在我国的覆盖范围及对BDS定位性能增强作用的评估。结果表明,BDS/QZSS/IRNSS组合在我国的最小可见卫星数可达16~21颗,GDOP值在1.4~1.7之间,定位误差达5.5~7.5m,相比单BDS定位最小可见卫星数增加了6~8颗,GDOP值减小了0.3~0.5,定位精度提升了2.0~3.0m,对华南地区的定位性能有明显提升,而对东北等地区定位性能的提升较小。     

伽利略卫星导航系统信号质量及定位性能分析

伽利略系统(Galileo)是全球四大卫星导航系统之一,目前已初步具备全球定位能力。研究Galileo的信号质量和双／三频定位性能不仅对Galileo系统应用具有重要价值,对多全球卫星导航系统（GNSS）融合定位也有重要促进作用。在使用基准站网(MGEX)地面跟踪站的基础上,分析了伽利略信号的载噪比、多路径、以及双／三频精密单点定位(PPP)的定位精度。结果表明,Galileo与GPS相比,载噪比E5> E5a≈E5b≈L5>E1≈L1>L2,多路径误差E5      

Initial assessment of the COMPASS/BeiDou-3: new-generation navigation signals

The successful launch of five new-generation experimental satellites of the China’s BeiDou Navigation Satellite System, namely BeiDou I1-S, I2-S, M1-S, M2-S, and M3-S, marks a significant step in expanding BeiDou into a navigation system with global coverage. In addition to B1I (1561.098 MHz) and B3I (1269.520 MHz) signals, the new-generation BeiDou-3 experimental satellites are also capable of transmitting several new navigation signals in space, namely B1C at 1575.42 MHz, B2a at 1176.45 MHz, and B2b at 1207.14 MHz. For the first time, we present an initial characterization and performance assessment for these new-generation BeiDou-3 satellites and their signals. The L1/L2/L5 signals from GPS Block IIF satellites, E1/E5a/E5b signals from Galileo satellites, and B1I/B2I/B3I signals from BeiDou-2 satellites are also evaluated for comparison. The characteristics of the B1C, B1I, B2a, B2b, and B3I signals are evaluated in terms of observed carrier-to-noise density ratio, pseudorange multipath and noise, triple-frequency carrier-phase ionosphere-free and geometry-free combination, and double-differenced carrier-phase and code residuals. The results demonstrate that the observational quality of the new-generation BeiDou-3 signals is comparable to that of GPS L1/L2/L5 and Galileo E1/E5a/E5b signals. However, the analysis of code multipath shows that the elevation-dependent code biases, which have been previously identified to exist in the code observations of the BeiDou-2 satellites, seem to be not obvious for all the available signals of the new-generation BeiDou-3 satellites. This will significantly benefit precise applications that resolve wide-lane ambiguity based on Hatch–Melbourne–Wübbena linear combinations and other applications such as single-frequency precise point positioning (PPP) based on the ionosphere-free code–carrier combinations. Furthermore, with regard to the triple-frequency carrier-phase ionosphere-free and geometry-free combination, it is found that different from the BeiDou-2 and GPS Block IIF satellites, no apparent bias variations could be observed in all the new-generation BeiDou-3 experimental satellites, which shows a good consistency of the new-generation BeiDou-3 signals. The absence of such triple-frequency biases simplifies the potential processing of multi-frequency PPP using observations from the new-generation BeiDou-3 satellites. Finally, the precise relative positioning results indicate that the additional observations from the new-generation BeiDou-3 satellites can improve ambiguity resolution performance with respect to BeiDou-2 only positioning, which indicates that observations from the new-generation BeiDou-3 satellites can contribute to precise relative positioning.     

亚太地区BDS-3/GNSS组合系统单频单点定位性能分析

针对北斗三号卫星导航系统(BDS-3)向全球提供定位、导航和授时(PNT)服务后的定位性能评估问题,基于MGEX (Multi-GNSS Experiment) WHU2站7天实测数据,从可视卫星数、几何精度衰减因子(GDOP)、定位精度、定位成功率和伪距残差方面分析了BDS-3及BDS/GNSS组合伪距单点定位(SPP)性能. 结果表明:在亚太地区,BDS-3具有比美国的GPS、俄罗斯的GLONASS、欧洲的Galileo更优的SPP性能,其水平、垂直和三维精度分别为1.19 m、2.34 m、2.38 m,三维精度比北斗二号卫星导航系统(BDS-2)、GPS、GLONASS和Galileo 的SPP精度分别提升了54.8%、27.2%、86.4%和1.2%. 此外,BDS/GPS/Galileo组合能获得最优的SPP精度,其水平、垂直和三维精度分别为0.96 m、1.66 m、1.77 m,相较于BDS-2/BDS-3 SPP分别提升了18.6%、19.4%和17.3%.      

日本准天顶卫星导航系统应用分析与启示

日本立足自身自然地形及城市特点,基本建成了准天顶卫星导航系统(QZSS),并可基于GPS提供定位增强服务．本文针对QZSS服务及应用开展了研究,对其信号、特色服务,应用领域,以及推荐产品名录进行了分析．日本针对卫星导航的推广应用工作有其特色,充分利用了数码相机、运动手表等产品制造优势,大力布局个人智能终端;在铁路、精准农业、建筑施工等行业,努力拓展厘米级增强服务应用．这些对我国推进卫星导航系统应用工作有着一定的参考意义．      

BDS-2/BDS-3/GPS/Galileo双频精密单点定位精度分析与评价

由于北斗卫星导航系统(BDS)已完成正式组网,有必要对BDS的定位性能进行精度评估与分析. 本文主要通过在MGEX (Multi-GNSS Experiment)选取8个测站5天的观测数据,以北斗二号/北斗三号(BDS-2/BDS-3)为主分析BDS-2/BDS-3、BDS-2/BDS-3/Galileo、BDS-2/BDS-3/GPS、BDS-2/BDS-3/GPS/Galileo四种不同组合卫星系统静态精密单点定位(PPP)性能,试验结果表明:BDS-2/BDS-3静态PPP在东(E)、北(N)、天顶(U)方向上的定位精度和收敛速度分别优于2.49 cm、2.27 cm、4.04 cm和34.6 min、19.3 min、28.1 min;BDS-2/BDS-3/Galileo静态PPP在E、N、U方向上的定位精度和收敛速度分别优于1.81 cm、1.65 cm、2.94 cm和20.4 min、13.0 min、18.6 min;BDS-2/BDS-3/GPS静态PPP在E、N、U方向上的定位精度和收敛速度分别优于1.67 cm、1.62 cm、2.82 cm和18.3 min、10.2 min、16.1 min;BDS-2/BDS-3/GPS/Galileo静态PPP在E、N、U方向上的定位精度和收敛速度分别优于1.46 cm、1.40 cm、2.45 cm和14.5 min、9.3 min、14.5 min.      

BDS-3和Galileo组合的RTK定位性能分析

北斗三号卫星导航系统（BeiDou-3 navigation satellite system, BDS-3）已全面建成并向全球用户提供可靠的定位、导航和授时（positioning, navigation and timing, PNT）服务。为了实现与其他全球卫星导航系统（global navigation satellite system, GNSS）的兼容性和互操作性,BDS-3在BDS-2的基础上调制了B1C和B2a两个新信号,与伽利略系统（Galileo）的E1和E5a实现了频率的复用。系统间偏差（inter-system bias, ISB）对于实现不同GNSS之间的融合处理至关重要,为此提出了基于单差模型的ISB估计与应用算法,并对BDS-3与Galileo重叠频率之间的ISB进行了分析。基于可跟踪BDS-3新信号的几类接收机,揭示了BDS-3和Galileo之间的ISB的特性,在此基础上分析了BDS-3和Galileo组合的实时动态（real-time kinematic, RTK）定位性能。结果表明,基于相同类型的接收机B1C-E1和B2a-E5a之间是不存在ISB...     

Compass B2a与GPSL5信号间干扰仿真分析

首先介绍了卫星导航系统间干扰评估方法，仿真计算了CompassB2a与GPSL5信号间的相互干扰。干扰分析结果表明：Compass B2和GPSL5信号之间可以实现兼容，为进一步开展B2与L5信号间的互操作研究打下了基础。     

Tropospheric delay correction with dense GPS network in L1-SAIF augmentation

The L1-SAIF (L1 Submeter-class Augmentation with Integrity Function) signal is one of the Quasi-Zenith Satellite System (QZSS) navigation signals, which provides an augmentation function for mobile users in Japan. The tropospheric delay correction in the L1-SAIF augmentation is discussed in detail. Because the topographical features in Japan are complicated, the correction information is generated from GPS observation data collected at 200 GPS stations which are densely distributed over Japan. A total of 210 Tropospheric Grid Points (TGPs) are arranged to fully cover Japan. The TGPs that provide the correction information are selected adaptively to achieve the expected correction accuracy. This selection of TGPs is provided by the TGP mask message. Mobile users acquire the zenith tropospheric delay (ZTD) value at neighboring TGPs from the correction messages, and can estimate the local ZTD value accurately by using a suitable ZTD model. Only up to seven L1-SAIF messages are sufficient to provide the full correction information. Accuracy evaluations have proven that it is possible to achieve a correction accuracy of 13.4 mm RMS. The strategy presented here has been implemented into the augmentation system using the L1-SAIF signal, and its application guidance is presented in the QZSS interface specification.     

GNSS互操作若干问题

GNSS兼容与互操作是国际卫星导航领域的热点议题,也是用户实现多系统融合导航必须具备的条件。本文首先介绍了兼容与互操作的基本概念;简要分析了多GNSS系统互操作的基本趋势及GNSS4大核心系统信号互操作的现状;分析了现有北斗卫星导航系统(BDS)在信号互操作方面存在的问题,指出其对用户接收机制造商和多GNSS用户的影响;分析了坐标基准和坐标框架在互操作方面存在的问题及其可能带来的影响,指出坐标系统的实现、维持甚至更新策略带来的误差都可能给多GNSS互操作及导航定位结果带来影响;讨论了时间基准互操作存在的问题,以及可能的解决措施。最后归纳了本文的主要结论。     

GNSS的兼容与互操作初步研究

随着全球导航卫星系统(GNSS)的发展,特别是Galileo和QZSS计划的提出,卫星导航领域提出了兼容与互操作的概念,并日益受到重视。增强与已有系统之间的兼容与互操作已经成为GNSS的一种发展趋势,因此,有必要对GNSS的兼容与互操作展开研究。在简述GNSS的兼容与互操作提出背景的基础上,分析了相应概念之间的区别和联系。基于GNSS兼容与互操作的3个关键因素,分别分析了兼容与互操作在空间信号、时间框架、大地坐标框架选取方面的应用体现以及产生的影响。最后提出了目前GNSS兼容与互操作研究可以展开的几个方向。     

BDS/GNSS融合精密单点定位性能分析

随着北斗卫星导航系统(BDS)的全球组网成功,基于BDS的应用研究正在如火如荼的进行中,尤其是包括BDS在内的多频多模融合定位正成为研究的重点. 利用MGEX (Multi-GNSS Experiment)多个测站的BDS、GPS、GLONASS、Galileo观测数据,基于RTKLIB开源代码,在Visual Studio 2017平台上进行了BDS/GPS、BDS/GLONASS、BDS/Galileo三种组合系统的精密单点定位(PPP)实验,从静态PPP、动态PPP、可见卫星数、精度衰减因子(DOP)等方面对比分析了三种组合系统的定位性能. 实验结果表明:BDS/GPS组合系统的可见卫星数最多,各DOP值最小,静态PPP收敛后三个方向的精度优于6 cm. 不论是静态PPP还是动态PPP,其定位性能都最好;BDS/GLONASS、BDS/Galileo组合系统动态PPP的定位抖动较大,可见卫星数都要小于BDS/GPS组合系统,收敛时间较长,两者的动态PPP定位性能也差于BDS/GPS组合系统.      

Analysis of Galileo E5 and E5ab code tracking

The world of global navigation satellite systems has been enhanced with several new or improved signals in space aiming to optimize accuracy, reliability, navigation solution, and interoperability between different constellations. However, such developments bring various challenges to the receivers’ designers. For example, acquisition and tracking stages turn into more complex processes while handling the increasing bandwidth requires additional processing power. In this context, we study the code tracking of Galileo E5ab in a full band or of only one of its components, i.e., either E5a or E5b. More specifically, an architecture for tracking the E5 pilot channel as an AltBOC(15,10) or BPSK(10) modulation is introduced, and the performance of well-known discriminator types is analyzed using analytical derivations and simulations of linearity and stability regions, thermal noise tracking errors, multipath error envelopes and tracking thresholds. Different parameters, such as the front-end filter bandwidth, the early/late chip spacing, un-normalized and normalized discriminators, are taken into consideration. The results obtained are used to illustrate the main advantages and drawbacks of tracking the E5 signal as well as to help defining the main tracking loop parameters for an enhanced performance.     

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.