Generation of differential GPS corrections along with performance of quality control

The DGPS technique can provide considerably better relative positioning accuracy than the stand-alone GPS positioning, but the improvement depends on the distance between the user and the reference station (spatial correlation), the latency of differential corrections (temporal correlation), and the quality of differential corrections. Therefore, how to correctly generate differential corrections as well as their pricision is very important to the DGPS positioning technique. This paper presents a new algorithm for generating differential GPS corrections. This algorithm directly uses code and carrier observations in the measurement model of a Kalman filter, so that it is possible to use a simple stochastic model and to use the standard algorithm of the Kalman filter. The algorithm accounts for biases like multipath errors and instrumental delays in code observations and it shows how differential corrections are differently affected by code biases when dual or single frequency data is used. In addition, the algorithm can be integrated with a real time quality control procedure. As a result, the quality of differential corrections can be guaranteed with a certain probability.     

Generation of differential GPS corrections along with performance of quality control

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多系统融合单点定位先验和验后定权研究

针对多模全球卫星导航系统(GNSS)融合伪距单点定位随机模型难以精确构建的问题,在全球范围内选取了 10个多GNSS实验跟踪网MGEX(Multi-GNSS Experiment)观测站连续7天的观测数据,将四大GNSS系统的观测值分为五类,比较了高度角模型、用户等效测距误差(UERE)模型及验后Helmert方差分量...     

GPS手机的差分定位系统研究

提高GPS手机的定位精度具有很广阔的应用前景,本文研究GPS手机的实时定位差分系统的设计和实现方法。该系统采用基准站广播位置差分值、移动站实时处理的差分GPS方案,其主要优点是定位精度高、改正速度快、设备简单、操作方便;分析了位置差分GPS的定位误差,给出了测量结果。理论分析和测试结果都表明,该系统的差分定位精度比手机GPS直接定位相对提高31m左右,定位误差达4m左右,能够满足相关领域测量精度要求。     

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...     

10 Hz or 10 s?

Data sampling frequencies in many kinematic GNSS applications are often in the range of 2–10 Hz or even higher. In contrast, the sampling frequency of standard reference stations is usually not higher than 1 Hz, and many stations even deliver data at sampling intervals as large as 30 s. An easily implemented algorithm for data interpolation will be presented and it will be demonstrated that interpolation of pseudorange and carrier phase reference station data is possible at a high level of accuracy. This technique—which has not received proper attention so far—is helpful to reduce data storage capacity for postprocessing applications, but and can also be beneficial for real-time applications suffering from slow data links. Results of test trials indicate that a standard deviation better than 2 mm can be reached for interpolated carrier phases collected at reference sites sampling data with 5-s intervals in double difference mode. These interpolated double difference data obviously still follow a Gaussian distribution. A trend function for the expected standard deviation of interpolated double difference carrier phase measurements will be presented. From this function, a recommendation for an optimal sampling rate of reference station data can be derived which is close to 10 s.     

基于广播星历的单站载波相位授时算法

针对传统单站授时算法的局限性,提出了一种基于广播星历的单站载波相位授时算法。该算法在标准单点定位授时算法仅采用伪距观测量的基础上,增加了载波相位观测量,授时精度得到了显著改善;该算法与精密单点定位授时算法相比,不需要精密轨道和钟差,摆脱了IGS等外部事后精密星历产品的依赖,能够广泛应用于实时授时。并利用IGS站观测数据进行实验分析,结果表明,单站载波相位授时精度明显优于标准单点定位授时算法,授时精度可达1~2 ns。     

基于VRS的差分GPS算法研究

随着差分GPS技术的发展,其应用于工程测量也越来越及,但随着基线长度的增加,常规差分GPS定位精度亦随之降低。为此,本文研究了基于虚拟参考站(Virtual Reference Station,VRS)的差分GPS定位算法,它能有效克服常规差分GPS存在的缺陷,使移动测量用户可在较大空间范围内获得均匀、高精度和可靠的定位结果。     

Group delay variations of GPS transmitting and receiving antennas

GPS code pseudorange measurements exhibit group delay variations at the transmitting and the receiving antenna. We calibrated C1 and P2 delay variations with respect to dual-frequency carrier phase observations and obtained nadir-dependent corrections for 32 satellites of the GPS constellation in early 2015 as well as elevation-dependent corrections for 13 receiving antenna models. The combined delay variations reach up to 1.0 m (3.3 ns) in the ionosphere-free linear combination for specific pairs of satellite and receiving antennas. Applying these corrections to the code measurements improves code/carrier single-frequency precise point positioning, ambiguity fixing based on the Melbourne–Wübbena linear combination, and determination of ionospheric total electron content. It also affects fractional cycle biases and differential code biases.     

一种顾及几何精度因子的GNSS控制网构型选站方法CSCD

在相对定位基线解算过程中,控制网约束点坐标位置的选取对数据解算精度有一定的影响.讨论了顾及最小几何精度因子(GDOP)值控制网构型选站方法,对全球MGEX(Multi-GNSS Experiment)测站进行6个约束点基准站的选择,利用北斗二号/北斗三号(BDS2/BDS-3)的实测数据,对全球18个连续监测评估系统(iGMAS)观测站的站坐标进行解算,并与全球格网化随机选站法选站结果的解算精度进行对比.实验结果表明:相较于格网化随机选站法,采用顾及GDOP值选站法进行相对定位基线解算时,6000 km以上的基线长度标准差值能够提高约7 mm;长基线在东(E)、北(N)、天顶(U)三方向的标准差值精度提升约5 mm;待定点的点位精度能够提升约40%.可以看出采用GDOP法选站可以提高BDS-2/BDS-3相对定位解算精度.     

北斗卫星伪距多路径系统偏差的修正方法及其对单频PPP的影响分析

北斗伪距观测值存在特有的多路径系统性偏差,偏差的数量级达到几个分米到米。该系统偏差可分为两类:一类是IGSO/MEO卫星随高度角变化的伪距系统性偏差;另一类是GEO卫星(高度角仅微小变化)明显的伪距系统性偏差。系统性的伪距偏差导致GEO卫星MP序列的标准偏差较大,本文针对GEO卫星伪距偏差问题提出了一种基于卡尔曼滤波的修正方法,修正后的GEO卫星MP序列的标准偏差下降了10%~16%。基于伪距相位组合的单频PPP技术的伪距权重较大,会受到北斗伪距偏差的影响,分析表明该系统性偏差将导致单频PPP定位结果高程方向产生约1m的偏差。对GEO伪距偏差采用提出的卡尔曼滤波修正方法进行修正,并应用Wanninger和Beer的高度角模型消除IGSO/MEO观测值伪距偏差,本文对修正后的单频精密单点定位精度进行了分析。4个multi-GNSS experiment(MGEX)站10d观测数据的分析结果表明:仅改正和卫星多路径误差,高程方向定位结果精度可改善65%左右;采用本文方法对GEO卫星的多路径修正后,该方向定位结果精度改善比例将进一步提高至75%左右。     

基于移动基准站DGPS整周模糊度快速求解的研究

讨论了移动基准站GPS载波相位差分技术的关键,研究了其确定整周模糊度的方法,设计了检验该技术精度的试验方案,实现了厘米级的相对定位精度。     

双移动载体GPS精密相对定位研究

GPS双移动载波相位差分技术的关键,是如何实现可变基线条件下整周模糊度的快速解算。为此,本文详细地讨论了其确定整周模糊度的方法,并设计了检验该技术精度的实验方案;实算结果表明,用该技术获得了厘米级的相对定位精度。     

Single-Epoch Ambiguity Resolution for Real-Time GPS Attitude Determination with the Aid of One-Dimensional Optical Fiber Gyro

High-accuracy real-time GPS-based attitude determination requires that integer ambiguities be resolved very quickly so that the attitude angles can be output with minimum delay. This article describes an attitude determination algorithm that can resolve integer ambiguities instantaneously, relative to one antenna of a multi-antenna array configuration. The carrier phase and pseudorange observations are used with fixed baseline length constraints and fiberoptic gyro data. Real-time stochastic model improvement using empirical elevation-dependent standard deviation function and an estimated scale factor are a feature of this algorithm. Integer ambiguity search using the LAMBDA method, sophisticated validation criteria, and an adaptive procedure has also been implemented within the software. An experiment was carried out using four Leica dual-frequency GPS receivers (but only the L1 carrier phase and pseudorange data were used) and a low-cost fiberoptic on a car. The results indicate that integer ambiguities can be resolved on a single-epoch basis with a 98.9% success rate. ? 1999 John Wiley & Sons, Inc.     

Method for real-time self-calibrating GLONASS code inter-frequency bias and improvements on single point positioning

Utilization of frequency-division multiple access (FDMA) leads to GLONASS pseudorange and carrier phase observations suffering from variable levels inter-frequency bias (IFB). The bias related with carrier phase can be absorbed by ambiguities. However, the unequal code inter-frequency bias (cIFB) will degrade the accuracy of pseudorange observations, which will affect positioning accuracy and convergence of precise point positioning (PPP) when including GLONASS satellites. Based on observations made on un-differenced (UD) ionospheric-free combinations, GLONASS cIFB parameters are estimated as a constant to achieve GLONASS cIFB real-time self-calibration on a single station. A total of 23 stations, with different manufacturing backgrounds, are used to analyze the characteristics of GLONASS cIFB and its relationship with variable receiver hardware. The results show that there is an obvious common trend in cIFBs estimated using broadcast ephemeris for all of the different manufacturers, and there are unequal GLONASS inter-satellite cIFB that match brand manufacture. In addition, a particularly good consistency is found between self-calibrated receiver-dependent GLONASS cIFB and the IFB products of the German Research Centre for Geosciences (GFZ). Via a comparative experiment, it is also found that the algorithm of cIFB real-time self-calibration not only corrects receiver-dependent cIFB, but can moreover eliminate satellite-dependent cIFB, providing more stable results and further improving global navigation satellite system (GNSS) point positioning accuracy. The root mean square (RMS) improvements of single GLONASS standard point positioning (SPP) reach up to 54.18 and 53.80% in horizontal and vertical direction, respectively. The study’s GLONASS cIFB self-estimation can realize good self-consistency between cIFB and stations, working to further promote convergence efficiency relative to GPS?+?GLONASS PPP. An average improvement percentage of 19.03% is observed, realizing a near-consistent accuracy with GPS?+?GLONASS fusion PPP.     

基于GPS／北斗网络RTK算法实现与结果分析

随着GPS现代化的发展以及中国北斗二代的实施,GPS／BDS组合导航系统在各个行业领域和亚太地区各个国家得到日益广泛的应用,国际海运事业无线电技术委员会（RTCM）增加了北斗卫星导航系统（BDS）星历电文并支持BDS载波相位差分应用使得北斗的地基增强系统在各行业中的应用更加重要。本文介绍相对定位基本模型,单基站实时运态（RTK）与多基站RTK基本原理以及虚拟参考站（VRS）定位方法,通过采集GPS／BDS观测值,分析单基站RTK与多基站定位结果。结果表明,若流动站与基准站距离较短,多基站与单基站定位精度均能得到厘米级定位结果;在流动站与基准站距离较长时,GPS／BDS双频多基站RTK的定位精度能达到厘米级定位结果,可用性强。      

载波/多普勒平滑伪距在Android手机中的定位实现

针对Android手机GNSS伪距定位精度较低的问题,利用手机端观测信息,通过载波相位/多普勒平滑伪距改善手机端伪距观测值的质量,从而达到提高定位精度的效果。首先给出了Android手机GNSS原始观测量的获取方法,然后推导了载波相位平滑伪距和多普勒平滑伪距算法模型,并设计合理有效的试验对算法的精度进行评定。试验结果表明：在手机端静态定位中载波相位和多普勒平滑算法均可提高原始伪距的定位精度,且多普勒平滑算法表现更优;在手机端动态定位中多普勒平滑算法可获得比原始伪距更优的定位精度,但是载波相位平滑算法较原始伪距更差;由于硬件的制约手机端周跳和信号失锁严重,占比超过50%,载波相位在手机端的可用性较低;多普勒平滑算法的最优平滑时间常数小于等于10 s,具有实时动态定位的巨大潜力。     

A double-differenced cycle slip detection and repair method for GNSS CORS network

The difficulty to detect and repair cycle slip of carrier phase measurements is a key limit for continuously high accuracy of GNSS positioning and navigation services. We propose an automated cycle slip detection and repair method for data preprocessing of a CORS network. The method jointly uses double-differenced (DD) geometry-free (GF) combination and ionospheric-free observation corrected for the computed geometrical distance (IF-OMC) to estimate the cycle slips in dual-frequency observations. The DD GF combination, which is only affected by the ionospheric residual, can be used to detect cycle slips with high reliability except for special pairs such as (77, 60) on GPS L1/L2 frequencies. The detection principle of the IF-OMC observable is such that there is a large discontinuity related to the previous epoch when cycle slips occur at the present epoch. The disadvantages of these two combinations can be overcome employing the proposed detection method. The cycle slip pair (77, 60) has no effect on the GF combination, while a change of 14.65 m is derived from GPS L1/L2 observations using the IF-OMC algorithm. Using pre-determined station coordinates as precise values, we found that the accuracy of the DD IF-OMC combination was 18 mm for a 200-km CORS baseline. Therefore, cycle slips in dual-frequency observations can be correctly and uniquely determined using DD GF and IF-OMC equations. The proposed method was verified by adding simulated cycle slips in observations collected from the CORS network under a quiet ionosphere and shown to be effective. Moreover, the method was assessed with observations made during intense ionospheric activity, which generated extensive cycle slips. The results show that the algorithm can detect and repair all cycle slips apart from two exceptions relating to long data gaps.     

北斗系统GEO/IGSO/MEO卫星观测信息随机特性评估与分析

首先从参数估计、精度评定和质量控制角度论证了在精密定位中随机模型的重要性;然后基于短基线单差观测模型,采用严密的方差分量估计方法计算了不同频率、不同卫星的相位和伪距观测值精度,任意频率之间的交叉相关性以及不同频率的相位和伪距观测值在不同时间间隔上的时间相关性;随后分析了随机模型对基线精度和整体检验统计量的影响。结果表明：北斗用户接收机数据精度都与高度角相关,建议采用高度角指数加权函数;北斗二号3个频率相位观测值之间存在不同程度的相关性,其他类型观测值之间的交叉相关性不明显,不同频率的相位和伪距观测值时间相关性较明显,高精度应用中需关注。另外,正确的随机模型计算的基线精度更接近理论精度。本文为用户正确认识北斗系统3个类型卫星观测信息、正确使用北斗系统提供支撑。     

BDS/GPS非差误差改正数的实时动态定位方法

针对我国地区观测数据的实验定位结果精度问题,该文提出BDS/GPS非差误差改正数的实时动态定位方法,研究了BDS/GPS单参考站非差实时动态定位算法模型,流动站使用非差误差改正数,不需要进行双差观测值的组合。参考站将非差误差改正数传递给流动站,对流动站的观测值进行误差改正,可以直接固定流动站的模糊度。实验表明:在我国南方地区BDS精度要优于GPS,而在北方地区,BDS/GPS定位精度和GPS定位精度明显优于BDS。并且与单系统相比,组合系统的可视卫星数明显增加,改善了卫星空间几何分布结构,从而提高了导航定位的可用性和精度。