卡尔曼滤波的中长基线非差RTK算法

针对实时动态定位(RTK)中作业范围受到大气延迟误差制约的现象,该文提出了一种基于卡尔曼滤波的非差观测模型RTK算法和非差改正数的计算方法。利用扩展卡尔曼滤波函数模型,将残余的相对对流层延迟、相对电离层延迟同流动站位置参数以及单差整周模糊度作为状态向量进行卡尔曼滤波估计。非差观测模型利用参考站的非差误差改正数以单颗卫星为对象进行误差改正,流动站接收数据小,算法简单。通过GNSS实测数据对该算法进行了算法验证和结果分析,实验结果表明,对于中长基线,利用非差观测模型可实现GNSS单参考站RTK定位,并获得厘米级的定位精度。     

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%。     

北斗卫星导航系统双差网络RTK方法

针对北斗卫星导航系统常规实时动态差分(RTK)定位中,整周模糊度的快速解算和流动站位置信息的解算精度问题,该文研究了一种北斗卫星导航系统双频双差网络RTK方法,首先解算参考站网B1、B2载波相位整周模糊度,利用固定的参考站网载波相位整周模糊度计算参考站的观测误差,使用区域误差内插法计算流动站的综合误差影响,改正流动站的观测误差并进行流动站的整周模糊度解算,最后使用实测数据进行算法实验。实验结果表明,该文的方法可以利用北斗卫星导航系统双频观测数据实现网络RTK流动站的厘米级定位。     

长距离GPS/BDS双系统网络RTK方法

基于区域参考站网的网络实时动态定位(real-time kinematic,RTK)方法是实现全球定位系统(global positioning system,GPS)、北斗卫星导航系统(BeiDou satellite navigation system,BDS)高精度定位的主要手段。研究了一种长距离GPS/BDS双系统网络RTK方法,首先采用长距离参考站网GPS/BDS多频观测数据确定宽巷整周模糊度,利用引入大气误差参数的参数估计模型解算GPS/BDS双差载波相位整周模糊度;然后按照长距离参考站网观测误差特性的不同,分类处理参考站观测误差,利用误差内插法计算流动站观测误差,以改正流动站GPS/BDS双系统载波相位观测值的观测误差;最后使用流动站多频载波相位整周模糊度解算方法确定GPS/BDS载波相位整周模糊度并解算位置参数。使用长距离连续运行参考站(continuously operating reference stations,CORS)网的实测数据进行实验,结果表明,该方法能够利用长距离GPS/BDS参考站网实现流动站的厘米级定位。     

一种北斗卫星导航系统三频非差网络RTK方法

针对双差网络RTK(real-time kinematic)中测站和卫星间相关性导致数据处理复杂的问题,提出了一种北斗系统三频非差网络RTK方法。首先利用北斗系统三频超宽巷、宽巷和三频整周模糊度之间的整数线性关系确定参考站间双差整周模糊度。然后根据参考站间双差整周模糊度与非差整周模糊度的组合关系单历元快速确定参考站间非差整周模糊度。在此基础上,建立高精度非差区域误差改正模型,实现流动站观测值的误差改正和整周模糊度固定。使用实测的CORS(continuously operating reference stations)网三频观测数据进行算法验证,结果表明,该方法可有效克服双差网络RTK带来的测站和卫星间的相关性,使网络RTK的作业方式更加灵活。     

长距离网络RTK实时厘米级定位算法

针对CORS系统建设成本高和选址困难的问题,该文提出GPS长距离网络RTK定位算法。该算法首先利用MW组合观测方程解算基准站双差宽巷整周模糊度,采用Saastamoinen模型和GMF映射函数模型相结合解算双差对流层干分量延迟残差,并将双差对流层湿分量延迟残差作为未知参数进行估计,同时结合无电离层组合观测值解算基准站双差载波整周模糊度;然后,采用综合误差内插法解算基准站和流动站的误差改正数;最后,采用最小二乘法逐历元进行法方程叠加解算流动站双差模糊度浮点解,并利用LAMBDA算法和通过TIKHONOV正则化改进的LAMBDA算法搜索固定流动站双差宽巷整周模糊度和双差载波整周模糊度。实验表明,该算法能够将基准站间距离提高到100~150km,使流动站用户可以获得厘米级定位结果。     

单频RTK动态解算的卡尔曼滤波算法研究

本文针对单频RTK提出了一种快速动态定位卡尔曼滤波算法,该方法使用C码和L1观测值,用模型改正对流层干延迟,双差大气延迟分解为测站大气天顶延迟和投影函数,与流动站位置以及站间单差模糊度组成观测方程进行卡尔曼滤波,得到单差模糊度浮点解及方差阵,通过星间求差得到双差模糊度浮点解及方差阵,结合MLAMBDA方法实时动态确定模糊度。经实测数据和IGS站数据验证该算法具有较好定位结果。     

GLONASS偏差校正补偿算法模型的构建与应用

针对GNSS多模接收机的应用,分析了GLONASS卫星信号接入GNSS系统中会产生群时延变化等相关问题。通过对GLONASS系统可能产生的半周模糊度、0.25周模糊度、硬件偏差等相关问题的分析研究,探讨了RTK应用中的GLONASS伪距与载波相位偏差的6种有效解决方法。此方法包括了有效实时伪距与载波相位偏差校正补偿等。这些算法能够改进GPS+GLONASS+多模复用系统流动站接收机,使其在第三方基准站或网络系统的所有RTK应用中获得经过偏差改正的高精度的多星系统流动站接收机的性能。同时还提出了在站(或网络)接收机与流动站设备分属不同厂商产品的情况下,多模接收机系统伪距或载波相位测量过程中的差分偏差修正方法,进而提高GNSS系统的导航定位性能、作业效率和提高定位精度。     

BDS-3/BDS-2多频数据的长距离非差网络RTK算法

北斗三号卫星导航系统(BeiDou-3 satellite navigation system,BDS-3)已正式建成并提供服务,网络实时动态定位（real time kinematic,RTK）算法是提高北斗卫星导航系统（BeiDou satellite navigation system,BDS）定位精度的主要手段。提出了一种基于BDS多频多系统观测数据的长距离非差网络RTK算法。首先,通过顾及大气误差参数的多频载波相位整周模糊度解算模型,确定长距离BDS参考站的多频载波相位整周模糊度。然后,利用准确确定的参考站间载波相位整周模糊度,通过线性变化得到各参考站的非差整周模糊度,并计算各参考站的非差观测误差。考虑长距离测站间观测误差空间相关性减弱的特点,根据误差特性的不同分离出参考站网分类的非差误差改正数。最后,采用反距离加权法计算流动站的分类非差误差改正数,流动站通过非差误差改正数进行观测误差的改正和高精度定位。使用长距离连续运行参考站网的多频实测数据进行实验,结果表明：BDS-3的定位精度相对于北斗二号卫星导航系统(BeiDou-2 satellite navigation sys...     

大范围网络RTK基准站间整周模糊度实时快速解算

网络RTK是目前实现高精度实时动态定位的重要手段之一,而网络RTK高精度定位的关键问题是基准站间整周模糊度的实时快速准确固定。对于大范围网络RTK,由于基准站间距离的增加,电离层延迟误差、对流层延迟误差和卫星轨道误差相关性降低,导致基准站间整周模糊度不能快速准确地固定,因此本文提出了一种大范围网络RTK基准站间整周模糊度固定算法。该算法首先利用L1、L2载波相位观测值和P1、P2伪距观测值解算基准站间的双差宽巷模糊度;然后采用Saastamoinen模型和Chao映射函数模型相结合解算双差对流层延迟误差,并将双差宽巷模糊度作为L1、L2双差载波相位整周模糊度的约束关系来确定L1、L2双差载波相位整周模糊度;最后采用CORS站的实测数据进行试验,并将本文的试验结果同GAMIT软件的解算结果进行比对,结果表明该算法可以快速准确地实现单历元双差载波相位整周模糊度的固定。     

网络RTK对流层延迟内插模型精度分析

流动站与参考站间双差对流层延迟的精确改正是网络RTK技术的关键。本文采用河南省地基增强系统参考站网7个参考站的观测数据进行试验,选择LIM、LCM、LSM和KRG模型为研究对象,分析了各模型用于不同高差水平流动站对流层延迟改正的效果。试验结果表明：4种常用内插模型中,LIM和KRG模型对流动站对流层延迟改正的精度较优。流动站与主参考站高差达到400 m时,对于低高度角卫星,模型内插精度降低到分米级,不满足用户流动站高精度定位需求。     

星座异构基准站网虚拟参考站数据生成方法

针对各地现有卫星导航定位基准站可用星座存在差异性的问题，提出了按星座分别生成虚拟参考站数据的方法。该方法通过修正接收机钟差影响，实现了多个参考站作为主参考站生成同一个站点的虚拟观测值，有效避免了单个主参考站星座兼容性的影响，可为流动站提供更多的可用卫星。试验针对部分基准站不兼容北斗卫星的情况，分别在开阔区域和房角区域测试了按星座组网前后流动站的定位性能。结果显示：更多基准站参与服务能够改善虚拟参考站数据质量；按星座组网后流动站的定位质量更优，尤其可以显著改善流动站在房角等有遮挡区域的可用性和定位质量。研究成果对于有效整合当前各类基准站数据资源、提升服务对星座的兼容性具有实用价值。     

A reference station-based GNSS computing mode to support unified precise point positioning and real-time kinematic services

Currently, the GNSS computing modes are of two classes: network-based data processing and user receiver-based processing. A GNSS reference receiver station essentially contributes raw measurement data in either the RINEX file format or as real-time data streams in the RTCM format. Very little computation is carried out by the reference station. The existing network-based processing modes, regardless of whether they are executed in real-time or post-processed modes, are centralised or sequential. This paper describes a distributed GNSS computing framework that incorporates three GNSS modes: reference station-based, user receiver-based and network-based data processing. Raw data streams from each GNSS reference receiver station are processed in a distributed manner, i.e., either at the station itself or at a hosting data server/processor, to generate station-based solutions, or reference receiver-specific parameters. These may include precise receiver clock, zenith tropospheric delay, differential code biases, ambiguity parameters, ionospheric delays, as well as line-of-sight information such as azimuth and elevation angles. Covariance information for estimated parameters may also be optionally provided. In such a mode the nearby precise point positioning (PPP) or real-time kinematic (RTK) users can directly use the corrections from all or some of the stations for real-time precise positioning via a data server. At the user receiver, PPP and RTK techniques are unified under the same observation models, and the distinction is how the user receiver software deals with corrections from the reference station solutions and the ambiguity estimation in the observation equations. Numerical tests demonstrate good convergence behaviour for differential code bias and ambiguity estimates derived individually with single reference stations. With station-based solutions from three reference stations within distances of 22–103 km the user receiver positioning results, with various schemes, show an accuracy improvement of the proposed station-augmented PPP and ambiguity-fixed PPP solutions with respect to the standard float PPP solutions without station augmentation and ambiguity resolutions. Overall, the proposed reference station-based GNSS computing mode can support PPP and RTK positioning services as a simpler alternative to the existing network-based RTK or regionally augmented PPP systems.     

Improved network-based single-epoch ambiguity resolution using centralized GNSS network processing

Network real-time kinematic (NRTK) positioning is today’s industry standard for high-precision applications. Once network ambiguities are fixed, the network engine processes simultaneous observations from a number of continuously operating reference stations to compute corrections for users operating within the network area. Users are treated as passive nodes of the network. However, if two-way communication is available, then users could transmit their observations to the central processing facility where the network can treat them as active nodes, densifying the existing network infrastructure. This multiple rover network (MRN) concept exploits the additional information provided by users in a GNSS network. One application is to use the shorter inter-receiver distances to improve the success rate of single-epoch ambiguity resolution. This is also the goal of the subset ambiguity resolution algorithm, which improves the single-epoch success rate by allowing a subset of ambiguities to be resolved. We present an enhanced processing strategy to complement centimeter-level single-epoch NRTK positioning. This approach combines a single-baseline and an MRN solution with the partial ambiguity resolution algorithm and is only possible for a centralized GNSS network architecture. The algorithm is tested against the standard network ambiguity resolution strategy of full-set ambiguity fixing with respect to the nearest reference station. A 24-h dataset from the Southern California Integrated GNSS network is used with a configuration of three reference stations and four users. The enhanced solution achieves a mean ambiguity resolution success rate of 83% over all four users and all epochs, compared to 32% for the conventional technique.     

URTK: undifferenced network RTK positioning

Standard network RTK has been widely used since it was proposed in the mid-1990s. Rovers can obtain high-precision estimates of position by resolving double-differenced (DD) ambiguities. The focus of this study is a new undifferenced network RTK method, abbreviated as URTK hereafter, based on undifferenced (UD) observation corrections whose single-differenced (SD) ambiguities between satellites can be resolved in several seconds. The tools for studying the real-time realization of the new method are our developments of logical schemes that have the capability for the real-time modeling of a reference network and the instantaneous resolution of SD ionosphere-free (IF) ambiguities at a single station. This research demonstrates the validity of modeling regional UD-unmodeled errors on the ground and examines the maximum differences when compared to modeling the errors using ionospheric pierce points (IPP). With data collected at 48 stations from a CORS network in Shanxi Province (SXCORS) in China through May 21, 2010, the efficiency of the presented real-time strategies is validated using IGS final products in a postprocessing mode. The results verify that more than 83 % of SD wide-lane (WL) ambiguity can be fixed with 5 s of observation data, and the average resolution time of all the WL tests is 4.96 s. More than 80 % of SD L1 ambiguity can be fixed within 5 s, and the average resolution time is only 6.66 s. Rovers could gain rapidly centimeter-level absolute positioning service, comparable to standard network RTK. In addition, the URTK method transforms the fixed DD-ambiguities of the reference network into UD-ambiguities, and it does not need to set the base station and base satellite. Since the UD-corrections are modeled for each common visible satellite, it breaks down the connections between stations and satellites of the DD-corrections in the current network RTK. The UD-corrections can be broadcast by the base station and automatically selected and optimized by a rover during the real-time kinematic processing, thus avoiding ambiguity in reinitialization due to the change of reference, so it should be very flexible and useful for a wide range of applications.     

On accuracy and reliability of instantaneous network RTK as a function of network geometry, station separation, and data processing strategy

The network-based approach to kinematic GPS positioning significantly increases the distance, over which carrier-phase ambiguity resolution can be performed. This can be achieved either by introducing geometric conditions based on the fixed reference locations, and/or through the use of reference network data to estimate the corrections to GPS observations that can be broadcast to the users. The Multi Purpose GPS Processing Software (MPGPS) developed at The Ohio State University uses the multiple reference station approach for wide area and regional differential kinematic GPS positioning. The primary processing algorithm uses the weighted free-net (WFN) approach with the distance-dependent weighting scheme to derive optimal estimates of the user coordinates and realistic accuracy measures. The WFN approach, combined with the single epoch (instantaneous) ambiguity resolution algorithm is presented here as one approach to real-time kinematic (RTK) GPS. Since for baselines exceeding ~100 km, the instantaneous ambiguity resolution may not always be possible due to the increasing observation noise and insufficient number of observations to verify the integer selection, an alternative approach, based on a single- (or multiple-) baseline solution, supported by a double-difference (DD) ionospheric delay propagated from the previous epoch is also presented. In this approach, some data accumulation, supported by the network-derived atmospheric corrections, is required at the beginning of the rover data processing to obtain the integer ambiguities; after this initialization period, the processing switches to the instantaneous RTK positioning mode. This paper presents a discussion on the effects of the network geometry, station separation and the data reduction technique on the final quality and reliability of the rover positioning solution. A 24-h data set of August 31, 2003, collected by the Ohio Continuously Operating Reference Station (CORS) network was processed by both techniques under different network geometry and reference station separation. Various solutions, such as (1) single-baseline solution for varying base-rover separation, (2) multi-baseline solution with medium-range base separation (over 100 km), and (3) multi-baseline solution with long-range base separation (up to 377 km), were obtained and compared for accuracy and consistency. The horizontal positioning accuracy achieved in these tests, expressed as the difference between the estimated coordinates and the known rover coordinates, is at the sub-decimeter level for the first approach, and at the centimeter-level for the second method, for baselines over 100 km. In the vertical coordinate, decimeter- and sub-decimeter levels were achieved for the two approaches, respectively. Even though all the results presented here were obtained in post-processing, both algorithms are suitable for real-time applications.     

北斗三频宽巷组合网络RTK单历元定位方法

利用三频超宽巷/宽巷模糊度波长较长从而易于固定的优势,提出了一种基于北斗三频宽巷组合的网络RTK单历元定位方法。数据处理中心利用基准站实时生成并播发包含双差对流层和电离层延迟改正信息的虚拟观测值;用户站利用载波、伪距组合及分步解算的TCAR方法基于单个卫星对、单历元可靠固定两个超宽巷或宽巷模糊度。最后利用已固定模糊度且噪声最小的宽巷观测值和内插得到的大气延迟改正进行实时动态定位解算。试验结果表明,对于本文提出的网络RTK单历元定位方法,用户站宽巷模糊度单历元解算准确率高于99.9%,统计的定位中误差平面为3~4cm,高程方向约为5cm。