北斗星基增强系统性能评估

以实际广播星历、精密星历和北斗星基增强系统(BDSBAS)增强报文为实验数据，通过计算BDSBAS轨道误差、卫星钟差、空间信号测距误差和BDSBAS格网电离层有效点、播发时间和电离层延迟误差6个指标，评估分析了BDSBAS空间信号的性能。结果显示：BDSBAS增强后的GPS卫星轨道误差在切向、法向、径向分别降低了34.57%,40.57%,30.90%；卫星钟差均方根降低了24.31%，卫星钟差标准差降低了16.8%；空间信号测距误差相比增强前降低了32.75%;BDSBAS格网电离层有效点覆盖了中国及周边地区；BDSBAS各点电离层延迟播发间隔均达到ICAO对精确差分定位的要求；电离层延迟在0°-5°N范围内误差在0.4 m以上，可信度均达到99.9%，在5°-55°N范围内误差小于0.4 m，可信度均为100%;BDSBAS水平定位误差提升超过25%，垂直定位误差提升超过50%，完好性均在99.9%以上。     

WAAS系统中电离层折射校正的新方法及计算结果

电离层介质的色散性是影响电磁波信号进行卫星导航定位精度的重要因素之一.配合北斗二代分系绩研制任务,提出了一种新的电离层折射校正算法,并利用2000年7月1日到3日的双频GPS观测数据对6个用户站进行试算,进一步将试算所得均方根误差和电离层网格算法得到的误差进行比较.结果表明,对于中纬区域的用户站,估算的TEC误差约为0.5 m左右;而低纬用户误差相对增大,为1 m左右.文中给出的算法与电离层网格模型所提供的精度相差不多,在未来中国自主的卫星增强系统中采用新方法进行电离层进行修正是可行的及有效的.      

基于三频数据的北斗卫星导航系统DCB参数精度评估方法

差分码偏差（Differential Code Biases,DCB）参数作为导航电文中重要的一项,是影响用户PNT服务的主要误差源之一。北斗卫星导航系统（后文简称“北斗系统”）发射三个频点的导航信号,在导航电文中需要发播卫星的2个TGD（Timing Group Delay）参数。文章首先介绍了北斗系统卫星DCB参数最小二乘解算与形式误差评估;其次根据北斗系统三频特点,提出了不同频点组合计算垂直方向电离层电子总含量（VTEC）互差的DCB精度定量评估方法,并与IGS(International GNSS Service)提供的GPS卫星DCB精度进行比较;最后,详细分析了DCB参数精度对用户等效距离误差（UERE）计算和定位计算的影响,分别采用卫星出场标定DCB参数和经过解算DCB参数进行评估。实测数据分析结果表明,北斗系统卫星DCB参数解算形式误差与IGS解算GPS卫星DCB参数形式误差相当,但受卫星类型和解算测站的几何分布限制,北斗系统卫星DCB参数解算不确定度相比IGS略差,估计精度优于0.5ns,不同频率组合计算VTEC互差绝对值均值优于0.6TECU。相比采用卫星出场标定值,采用系统解算DCB参数后,双频用户三维位置误差改善13.80%～47.42%。     

RTCA协议下北斗完好性降效参数算法设计及检验

目前我国北斗导航增强系统的完好性参数设计缺少针对差分信息有效性的降效参数设计,不满足航空无线电委员会（RTCA）提出的接口协议,无法同国际其他GNSS星基增强系统相兼容。根据RTCA接口协议,针对我国卫星导航系统的完好性降效参数处理算法进行了研究,利用北斗实测数据分析了完好性降效参数对用户增强服务的影响,验证了算法的有效性。结果表明,正常情况下,北斗导航系统增强服务三维定位精度可达到113m。当用户丢失部分差分改正信息时,定位精度约144m,精度下降约274%,利用完好性降效参数对过期差分信息进行降效处理,优化定位权阵,可将定位精度提高至117m,达到正常增强服务水平。     

北斗D2导航电文解析和完好性性能分析

为评估北斗D2导航电文对系统空间信号完好性影响，对D2导航电文结构和内容进行研究。首先，通过基本导航信息的解析，给出了确定卫星位置和用户位置过程所需的信息和时间，并对受卫星星历和时钟影响的用户测距误差做了说明，介绍了电离层误差、对流层误差改正模型。然后，通过增强服务信息的解析，论述了完好性信息（RURA、UDRE）及格网电离层延迟的计算方法。最后给出了使用完好性信息、用户局部误差获取用户定位误差保护级的算法。     

关于北斗卫星导航系统的被动式定位算法比较研究

我国北斗卫星导航系统空间卫星共有2或3颗,无法单独满足被动导航定位的要求．针对这种卫星稀少的情况提出了3种被动式定位算法: 2星定位算法、 3星3参数定位算法和3星4参数定位算法, 这些算法分别采用气压测高方法增加观测数据和采用数学模型描述接收机钟差的方法减少定位方程求解的未知数;探讨了北斗卫星导航系统备份星的可用性和对导航定位精度的贡献;还提出了准差分修正技术,提高了定位精度．实验证明, 3种算法都取得了100m以内的定位结果,可以满足一般用户定位需求．     

北斗系统UERE及定位精度评估

用户测距误差（URE）与用户设备误差（UEE）是影响定位精度的主要因素.民航是北斗系统的高端用户,监测其对民航机场的覆盖性和服务性能十分必要.本文根据华东、华南、华北、西北地区4个民航机场观测站的北斗实测数据,分析了各机场卫星的可见性.根据URE的解算方法、电离层修正模型、对流层修正模型以及定位精度的评估方法,给出了对应的性能评估结果.研究发现:可见星数均在6～14颗,满足定位要求; 95%置信度下,电离层延迟优于7.50m,对流层延迟优于13.28m,地球静止轨道卫星（GEO）、倾斜地球同步轨道卫星（IGSO）、中圆轨道卫星（MEO）卫星的URE值分别优于2.36m,1.72m,2.59m,满足北斗规范的要求;95%置信度下,定位精度水平方向优于3.63m,垂直方向优于6.98m.结果表明北斗系统在民航机场监测站的覆盖性及服务性能良好.      

北斗首颗备份卫星性能初步分析

主要从卫星钟差预报、轨道测定精度、伪距波动情况等角度分析了I6卫星与北斗卫星导航系统（BDS）其他现役倾斜地球同步轨道（IGSO）卫星的异同,并从位置精度因子（PDOP）和格网可用性评估了I6卫星入网对BDS的贡献。利用星地双向时频传递设备观测的星地钟差数据,评估了I6卫星星载原子钟的预报性能,结果表明,I6卫星发播的卫星钟参数外推5h预报误差的均方根误差（RMS）为232ns,外推1h预报误差的RMS为073ns,与现役IGSO卫星钟差预报水平相当;对多星联合精密定轨结果分析表明,与北斗现役I3卫星相比,姿态控制方式优化后的I6卫星在地影期间的轨道精度并未发生明显衰减,克服了现有北斗二号卫星在地影期间轨道精度下降,从而影响北斗服务的连续性、可用性问题;利用大口径抛物面天线采集到的数据对I6卫星的伪距波动进行了分析,结果表明I6卫星单个观测弧段内其伪距波动峰峰差约为1m,与其他IGSO卫星一致;进行PDOP仿真计算,结果表明I6卫星的加入使得喀什地区的PDOP最大值由1282下降为726,PDOP大于6的时段所占百分比由2911%下降为1721%;对格网电离层产品实施解算,结果表明I6卫星的加入使得6个电离层格网点的可用度提升至95%以上。     

北斗三号电离层模型性能分析

根据北斗卫星导航系统三步走战略，北斗三号系统空中星座在2020年左右完成部署，信号的覆盖范围从亚太大部分地区扩展至全球.实际上自2018年底北斗三号系统已经可以初步提供全球服务.相应地，北斗系统的单频电离层模型从只适用于亚太大部分地区的BDSKlob模型发展到适用于全球范围的BDGIM模型.为分析北斗三号电离层模型的性能，以IGS GIM最终数据为参考，比较了2019年3月1-31日期间北斗BDGIM模型、BDSKlob模型以及GPSKlob模型在不同时段不同地区的改正效果.结果表明:北斗三号BDGIM模型在中国区域的改正率达75%以上，优于BDSKlob模型59%的改正率；在全球范围的改正率达60%，优于GPSKlob模型49%的改正率.除南半球高纬度地区外，BDGIM模型的电离层误差值均小于GPSKlob模型，其在垂直方向的电离层均方根误差值优于6TECU.      

北斗长河组合导航伪时差测量与ASF修正

通过时间比对手段把长河二号和北斗一号两个导航系统的原子钟组成一个参考时间尺度,测量导航信号由天线发出时刻相对于同一参考时间尺度的时差改正数,通过卫星微波或地面长波信号把改正数发送给用户接收机,经解调解码,就可以进行北斗长河组合导航的伪时差测量,从而解算接收机的位置和钟差。用模式计算和实测相结合的方法解决长河信号的传播的ASF改正问题,是提高组合导航定位准确度的有效手段。     

Beidou wide-area augmentation system clock error correction and performance verification

On December 27, 2018, the Beidou-3 System (BDS-3) has completed the deployment of 18 Medium Earth Orbit (MEO) satellites combined as a space constellation. In addition to the augmentation information for the new system signals B1C and B2a, the BDS-3 is compatible with the three augmentation information broadcast by the BDS-2 system for B1I and B3I signals: equivalent clock error correction, User Differential Ranging Error (UDRE) and Grid Ionosphere Vertical Error (GIVE). In this paper, the observation data of Beidou monitoring network are used to analyze the pseudo-range observation quality of the smooth transition signals B1I and B3I of BDS-2 and BDS-3. At the same time, the relationship between the equivalent clock error correction and the prediction error of the satellite clock is analyzed by using the Two-Way Satellite Time and Frequency Transfer (TWSTFT) data. The results show that the correlation between the equivalent clock error correction and the monitored clock error by using the TWSTFT data is greater than 60%. We calculate the UDRE by using the equivalent clock error correction. The results show that the satellite equivalent clock error correction can improve the accuracy of User Equivalent Range Error (UERE) by about 50%. This paper also compares the positioning accuracy of the BDS-2 satellites with the BDS-2 satellites combined BDS-3 satellites. The results show that the three-dimensional positioning accuracy is improved by about 30% after the BDS-3 satellites are added.     

An improved approach to model regional ionosphere and accelerate convergence for precise point positioning

Given the severe effects of the ionosphere on global navigation satellite system (GNSS) signals, single-frequency (SF) precise point positioning (PPP) users can only achieve decimeter-level positioning results. Ionosphere-free combinations can eliminate the majority of ionospheric delay, but increase observation noise and slow down dual-frequency (DF) PPP convergence. In this paper, we develop a regional ionosphere modeling and rapid convergence approach to improve SF PPP (SFPPP) accuracy and accelerate DF PPP (DFPPP) convergence speed. Instead of area model, ionospheric delay is modeled for each satellite to be used as a priori correction. With the ionospheric, wide-lane uncalibrated phase delay (UPD) and residuals satellite DCBs product, the wide-lane observations for DF users change to be high-precision pseudorange observations. The validation of a continuously operating reference station (CORS) network was analyzed. The experimental results confirm that the approach considerably improves the accuracy of SFPPP. For DF users, convergence time is substantially reduced.     

Evaluation of COMPASS ionospheric model in GNSS positioning

As important products of GNSS navigation message, ionospheric delay model parameters are broadcasted for single-frequency users to improve their positioning accuracy. GPS provides daily Klobuchar ionospheric model parameters based on geomagnetic reference frame, while the regional satellite navigation system of China’s COMPASS broadcasts an eight-parameter ionospheric model, COMPASS Ionospheric Model(CIM), which was generated by processing data from continuous monitoring stations, with updating the parameters every 2 h. To evaluate its performance, CIM predictions are compared to ionospheric delay measurements, along with GPS positioning accuracy comparisons. Real observed data analysis indicates that CIM provides higher correction precision in middle-latitude regions, but relatively lower correction precision for low-latitude regions where the ionosphere has much higher variability. CIM errors for some users show a common bias for in-coming COMPASS signals from different satellites, and hence ionospheric model errors are somehow translated into the receivers’ clock error estimation. In addition, the CIM from the China regional monitoring network are further evaluated for global ionospheric corrections. Results show that in the Northern Hemisphere areas including Asia, Europe and North America, the three-dimensional positioning accuracy using the CIM for ionospheric delay corrections is improved by 7.8%–35.3% when compared to GPS single-frequency positioning ionospheric delay corrections using the Klobuchar model. However, the positioning accuracy in the Southern Hemisphere is degraded due apparently to the lack of monitoring stations there.     

卫星远场测试工艺装备设计

导航卫星播发信号的用户等效测距误差(UERE)受到众多因素的影响,多径效应是其中较为主要的一个因素。为了测定卫星外形布局对多径效应及其带来的伪距误差的影响,同时为了验证减少多径效应的布局优化措施是否有效,有必要进行导航卫星的无线测试。在对试验技术条件进行充分研究后,设计了一系列的试验支持装配和工具,满足了多个状态的测试要求。通过工装的关键功能设计,完成了某卫星远场测试,测定了导航定位误差在典型工况下的量级,对卫星导航误差分析和提高定位精度有着重要意义。     

基于单频星载GPS数据的低轨卫星精密定轨

为满足搭载单频GPS接收机低轨卫星的精密定轨需求以及深化单频定轨研究,文中解决了单频星载GPS数据的周跳探测问题,并利用“海洋二号”（HY-2A）卫星及“资源三号”（ZY-3）卫星的单频星载GPS实测数据采用两种方法确定了二者的简化动力学轨道,并通过观测值残差分析、与双频精密轨道比较、激光测卫数据检核等方法对所得轨道精度进行评定。结果表明,在不考虑电离层延迟影响的情况下,HY-2A卫星定轨精度为2~3dm,ZY-3卫星为1m左右;而采用半和改正组合消除电离层延迟一阶项影响后,二者定轨精度均显著提高,HY-2A卫星三维精度提高至1dm左右,ZY-3卫星提高至1~2dm。文章的研究成果表明,搭载单频GPS接收机的低轨卫星也可获得厘米级的定轨精度。     

基于NTCM-BC模型的全球卫星导航系统单频电离层延迟修正

选择NTCM-BC模型作为单频电离层延迟修正模型,通过非线性最小二乘拟合的方法,利用提前一天预测的电离层图（COPG文件）,计算得到NTCM-BC模型修正系数;利用Klobuchar模型和IGS发布的GIM数据对NTCM-BC模型进行比较和分析.对太阳活动高、中、低年实测数据的分析结果表明:全球平均水平上,NTCM-BC模型的电离层延迟修正性能明显优于Klobuchar模型,NTCM-BC模型的TEC平均误差和均方根误差比Klobuchar模型分别下降了41%和30%;模型的TEC计算误差与太阳活动剧烈程度成正相关,即太阳活动高年模型误差较大,太阳活动低年误差相对较低.相较于磁静日,磁扰日期间Klobuchar模型和NCTM模型的误差均有一定程度的增加.此外,模型的电离层修正误差同时存在明显的纬度、季节和地方时差异.      

Satellite availability and positioning performance of uncombined precise point positioning using BeiDou-2 and BeiDou-3 multi-frequency signals

To realize the smooth transition from regional BeiDou Navigation Satellite System (BDS-2) to the global one (BDS-3), the integration of BDS-2 and BDS-3 is important for providing continuous, stable and reliable positioning, navigation and timing (PNT) services for global users. This work used 154 globally distributed multi-GNSS (Global Navigation Satellite System) experiment stations spanning 30 days to analyze the satellite availability and positioning performance of uncombined precise point positioning (UC-PPP) under current BDS-2 and BDS-3 constellations. We focused on three issues: the influence of BDS-3 receiver tracking abilities, the positioning performance among different areas, and the benefit of multi-frequency observations. The results show that the elliptical zone caused by poor BDS-2 satellite visibility is disappeared when the evenly distributed BDS-3 medium earth orbit satellites are introduced. When BDS-3 are integrated with BDS-2, the area with the Position Dilution of Precision (PDOP) less than 2 can be expanded to 75° S-75° N and 30° E-150° W. The positioning performance of BDS-3 and BDS-2/BDS-3 UC-PPP are seriously affected by the receiver tracking abilities of BDS-3 signals. When the maximum pseudo-random noise sequences (PRNs) of BDS-3 satellites tracked by stations are within 30 or 37, the positioning accuracy of static UC-PPP can be improved by 22.94% or 8.27% due to the integration of BDS-2 and BDS-3. Besides, the most improvement of BDS-2 and BDS-3 integration is achieved in Asia-Pacific regions, especially for the kinematic UC-PPP or the poor receiver tracking abilities of BDS-3. Similar to the multi-frequency BDS-2 UC-PPP, the benefit of multi-frequency signals for BDS-3 or BDS-2/BDS-3 UC-PPP is also non-vital. The three-dimensional positioning accuracy of BDS-2/BDS-3 multi-frequency UC-PPP in static mode and kinematic mode are 2.24 cm and 5.39 cm, while the corresponding convergence time are 49.62 min and 73.80 min, respectively. Compared with BDS-2, both the positioning accuracy and the convergence time of BDS-2/BDS-3 joint UC-PPP are improved by approximately over 50%, which indicates that BDS-3 has a great potential to provide high-quality PNT services as other global navigation satellite systems.