Regional reference network augmented precise point positioning for instantaneous ambiguity resolution

Integer ambiguity fixing can significantly shorten the initialization time and improve the accuracy of precise point positioning (PPP), but it still takes approximate 15 min of time to achieve reliable integer ambiguity solutions. In this contribution, we present a new strategy to augment PPP estimation with a regional reference network, so that instantaneous ambiguity fixing is achievable for users within the network coverage. In the proposed method, precise zero-differenced atmospheric delays are derived from the PPP fixed solution of the reference stations, which are disseminated to, and interpolated at user stations to correct for L1, L2 phase observations or their combinations. With the corrected observations, instantaneous ambiguity resolution can be carried out within the user PPP software, thus achieving the position solutions equivalent to the network real-time kinematic positioning (NRTK). The strategy is validated experimentally. The derived atmospheric delays and the interpolated corrections are investigated. The ambiguity fixing performance and the resulted position accuracy are assessed. The validation confirms that the new strategy can provide comparable service with NRTK. Therefore, with this new processing strategy, it is possible to integrate PPP and NRTK into a seamless positioning service, which can provide an accuracy of about 10 cm anywhere, and upgrade to a few centimeters within a regional network.     

基于几何模型的惯性辅助PPP周跳修复与快速重新收敛

在复杂观测环境下,GNSS信号容易发生周跳和失锁现象,导致精密单点定位技术（PPP）模糊度重新初始化,影响定位精度及可靠性。本文基于PPP／SINS紧组合,提出了利用短时间内惯导递推的高精度位置信息辅助PPP周跳修复的几何模型。该模型采用原始观测值建立历元间差分方程,将周跳作为参数进行估计,而惯导提供的高精度位置作为带权的虚拟观测值参与平差解算,在固定周跳整数值后修复相位观测值,从而保持高精度的连续定位。以车载和机载两组数据分析了该方法的有效性,结果表明,引入惯性辅助能够显著加快PPP定位的重新收敛,实现周跳的准确修复。      

A cycle slip fixing method with GPS + GLONASS observations in real-time kinematic PPP

A key limitation of precise point positioning (PPP) is the long convergence time, which requires about 30 min under normal conditions. Frequent cycle slips or data gaps in real-time operation force repeated re-convergence. Repairing cycle slips with GPS data alone in severely blocked environments is difficult. Adding GLONASS data can supply redundant observations, but adds the difficulty of having to deal with differing wavelengths. We propose a single-difference between epoch (SDBE) method to integrate GPS and GLONASS for cycle slip fixing. The inter-system bias can be eliminated by SDBE, thus only one receiver clock parameter is needed for both systems. The inter-frequency bias of GLONASS satellites also cancels in the SDBE, so cycle slips are preserved as integers, and the LAMBDA method is adopted to search for cycle slips. Data from 7 days of 20 globally distributed IGS sites were selected to test the proposed cycle slip fixing procedure with artificial blocking of the signal; cycle slips were introduced for all un-blocked satellites at each epoch. For a 30-s sampling interval, the average success rate of fixing can be improved from 73 to 98 % by adding GLONASS. Even for a 180-s sampling interval, GPS + GLONASS can achieve a success rate of 81 %. A real-time kinematic PPP experiment was also performed, and the results show that using GPS + GLONASS can achieve continuous high-accuracy real-time PPP without re-convergence.     

长距离GPS/BDS参考站网多频载波相位整周模糊度解算方法

长距离网络RTK是实现GPS/BDS高精度实时定位的主要手段之一,其核心是长距离参考站网GPS/BDS整周模糊度的快速准确确定。本文提出了一种长距离GPS/BDS参考站网载波相位整周模糊度解算方法,首先利用GPS双频观测数据计算和确定宽巷整周模糊度,同时利用BDS的B2、B3频率观测值确定超宽巷整周模糊度。然后建立GPS载波相位整周模糊度和大气延迟误差的参数估计模型,附加双差宽巷整周模糊度的约束,解算双差载波相位整周模糊度,并建立参考站网大气延迟误差的空间相关模型。根据B2、B3频率的超宽巷整周模糊度建立包含大气误差参数的载波相位整周模糊度解算模型,利用大气延迟误差空间相关模型约束BDS双差载波相位整周模糊度的解算。克服了传统的使用无电离层组合值解算整周模糊度的不利影响。采用实测长距离CORS网GPS、BDS多频观测数据进行算法验证,试验结果证明该方法可实现长距离参考站网GPS/BDS载波相位整周模糊度的准确固定。     

GNSS精密单点定位中的实时质量控制

提出了一套适用于GNSS精密单点定位(PPP)的实时质量控制方法,重点研究了钟跳探测与修复、周跳探测与标记、抗差估计方法,并在现有质量控制方法的基础上进行了改进。对比分析了不同质量控制方案对PPP的影响,结果表明,钟跳不利于周跳探测,严重影响非差PPP的精度和效率,必须对其进行探测与修复;联合MW、GF组合可以探测出绝大多数周跳,且较使用单一方法更为准确、可靠;采用改进的抗差估计有效抑制了残余粗差对精密定位的影响,显著提高了PPP的精度和可靠性。     

整数相位钟法精密单点定位模糊度固定模型及效果分析

精密单点定位(PPP)模糊度固定方法有3种:星间单差法、整数相位钟法和钟差解耦法,但目前仅法国CNES公开发布用于整数相位钟法PPP模糊度固定的产品,因此研究基于整数相位钟法的用户端PPP模糊度固定模型很有必要.本文分析了整数相位钟法PPP模糊度固定模型,着重指出该模型与传统浮点解PPP模型的区别;提出一种顾及质量控制的逐级模糊度固定策略用于具体实施PPP模糊度固定.大量动态PPP解算试验表明:与浮点解PPP相比,固定解PPP具有更快的收敛速度且定位精度和稳定性更好.     

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。     

Advantage of velocity measurements on instantaneous RTK positioning

Instantaneous real-time kinematic (RTK) techniques are one approach to achieving real-time high-accuracy positioning. The object of this paper is to show the advantage of adding velocity information to instantaneous RTK positioning. In this paper, velocity from Doppler frequency measurements is used to help resolve integer ambiguities in the LAMBDA method. In urban areas, pseudorange measurements can suffer from significant errors due to strong multipath, despite the use of advanced multipath-mitigation techniques. However, Doppler frequency measurements do not deteriorate as much as pseudoranges, because the multipath error on Doppler frequency measurements is only in the range of several centimeters. Our proposed method has been tested by both static and moving users in sub-urban environments. Single-epoch ambiguity fixing performance was improved compared to conventional ambiguity resolution without velocity information.     

基于LAMBDA方法的GPS动态相对定位

基于载波相位观测值的RTK(Real time kinematic)定位技术能够在野外实时得到厘米级定位精度,核心技术是在动态条件下快速固定整周模糊度,解算动态条件下的模糊度参数.采用LAMBDA方法快速固定整周模糊度完成初始化,实时探测周跳,搜索并固定新的模糊度.用C++编制软件实现该算法,通过实测数据的计算,验证文...     

区域参考站网支撑的PPP和RTK一体化服务及其性能

GNSS区域参考站网可为大范围PPP和RTK终端用户提供快速精密定位服务,然而不同技术体制下的误差影响因素及服务模式不同,服务端数据处理方法及终端定位性能也会有所差异。本文在实现参考站非差模糊度固定的基础上,给出了基于区域参考站网的PPP及RTK一体化服务方法,并对两种技术体制的终端定位效果进行了全面评估。采用西北某省站间距约100 km的CORS站网数据进行试验分析,结果表明,采用区域参考站网解算的整数钟/UPD产品进行PPP固定解动态定位时精度较高,水平方向RMS可达0.5 cm,区域大气改正数可以显著提升定位终端的初始化速度,对于PPP和RTK,60.0%和87.7%的时段单历元即可得到固定解。需要注意的是,基于VRS模式的RTK定位等价于大气强约束,在大气建模精度较差时定位精度会显著下降,而采用虚拟大气约束的PPP-RTK定位精度几乎不受影响。     

非差增强信息与差分虚拟观测数据的等价变换理论

针对目前非差精密单点定位增强信息无法直接用于RTK（real time kinematic）相对定位的问题，研究了基于附加坐标约束的参考站非差精密单点模糊度固定解提取非差改正信息的方法，并建立了非差增强信息与虚拟参考站观测信息等价变换模型，重点论述了空间状态域信息（state space representation，SSR）在等价变换中的区别应用。根据RTK模糊度部分固定技术，利用实测数据设计实验证明了算法的正确性与可用性。结果表明，虚拟零基线可获得与网络RTK同等精度的定位效果，从而实现了区域增强系统在非差与差分模式上的高度统一。     

北斗广域差分分米级定位的分区切换算法

从2017年1月开始，北斗系统在播发基本导航电文的同时，提供了包含实时轨道改正数、钟差改正数、电离层格网改正数和分区综合改正数四重广域差分参数，使得系统具备了基于系统广播的电文参数实现广域单站实时动态分米级定位的能力。实际应用表明，北斗系统播发的分区综合改正数存在中断的情况，使得实时定位存在因重新收敛而造成跳变的情况。本文分析了分区中断期间定位跳变产生的原因，提出一种适用于分区切换的广域差分分米级定位算法。采用中国境内7个北斗测站10 d的静态数据和车载动态数据对新算法进行评估验证。结果表明，在分区改正数中断的情况下，分区切换算法得到的坐标误差与使用连续分区综合改正数结果一致，双频动态定位水平和高程方向分别小于0.3 m和0.5 m，平均三维定位精度优于0.5 m；车载实时动态定位测试中，分区切换前后的单双频定位精度不受切换影响，与切换前保持一致。分区切换算法有效保证了分区改正数中断后北斗广域分米级实时动态定位的连续性。     

一种面向GPS单频RTK的周跳探测算法

针对传统码-载波相位周跳探测方法应用于单频RTK时,存在的对小周跳不敏感、易受码观测噪声的影响等问题,本文提出一种多普勒观测值辅助的单频周跳探测方法。该方法将连续两个相邻历元多普勒观测值与载波相位差分观测值相结合,以构造实时周跳探测的多普勒-载波相位差分序列。然后应用假设检验方法,检测单频载波相位观测值是否存在周跳。实测数据分析表明:本文提出的方法能够准确探测单频载波相位观测数据中的小周跳,且该方法对周跳探测的灵敏度比传统码-相位差分序列方法更高,适用于单频RTK定位技术。      

Benefits of the third frequency signal on cycle slip correction

Cycle slip detection and correction are important issues when carrier phase observations are used in high-precision GNSS data processing and have, therefore, been intensively investigated. Along with the GNSS modernization, the cycle slip correction (CSC) problem has been raised to deal with more signals from multi-frequencies. We extend the geometry-based approach by integrating time-differenced pseudorange and carrier phase observations to estimate the integer number of triple-frequency cycle slips together with the receiver clock offset, ionospheric delay variations and receiver displacements. The Least-squares AMBiguity Decorrelation Adjustment method can be employed. The benefit of the third frequency observation on the cycle slip estimate is first investigated with simulation tests. The results show that adding the third frequency observation can significantly improve the model strength and that a reliable triple-frequency CSC with a theoretical success rate of higher than 99.9 % can still be achieved, even under the condition that the range or ionosphere delay variation is poorly defined. The performance of triple-frequency CSC is validated with real triple-frequency BDS data since all BDS satellites in orbit are transmitting triple-frequency signals. The results show that the fixing rate of CSC can reach 99.1 % in static precise point positioning (PPP) and 98.8 % in the kinematic case. PPP solutions with cycle slip-uncorrected and cycle slip-corrected data sets are compared to validate the correctness of triple-frequency CSC. The standard deviations of the PPP solution in east, north and vertical component, respectively, can be improved by 31.1, 30.7 and 37.6 % for static, and by 42.0, 53.8 and 39.7 % for kinematic after cycle slips are corrected. The performance of dual- and triple-frequency CSC is also compared. Results show that the performance of dual-frequency CSC is slightly worse than that of triple-frequency CSC. These results demonstrate that the performance of CSC can be significantly improved with triple-frequency observations.     

Reliability of partial ambiguity fixing with multiple GNSS constellations

Reliable ambiguity resolution (AR) is essential to real-time kinematic (RTK) positioning and its applications, since incorrect ambiguity fixing can lead to largely biased positioning solutions. A partial ambiguity fixing technique is developed to improve the reliability of AR, involving partial ambiguity decorrelation (PAD) and partial ambiguity resolution (PAR). Decorrelation transformation could substantially amplify the biases in the phase measurements. The purpose of PAD is to find the optimum trade-off between decorrelation and worst-case bias amplification. The concept of PAR refers to the case where only a subset of the ambiguities can be fixed correctly to their integers in the integer least squares (ILS) estimation system at high success rates. As a result, RTK solutions can be derived from these integer-fixed phase measurements. This is meaningful provided that the number of reliably resolved phase measurements is sufficiently large for least-square estimation of RTK solutions as well. Considering the GPS constellation alone, partially fixed measurements are often insufficient for positioning. The AR reliability is usually characterised by the AR success rate. In this contribution, an AR validation decision matrix is firstly introduced to understand the impact of success rate. Moreover the AR risk probability is included into a more complete evaluation of the AR reliability. We use 16 ambiguity variance–covariance matrices with different levels of success rate to analyse the relation between success rate and AR risk probability. Next, the paper examines during the PAD process, how a bias in one measurement is propagated and amplified onto many others, leading to more than one wrong integer and to affect the success probability. Furthermore, the paper proposes a partial ambiguity fixing procedure with a predefined success rate criterion and ratio test in the ambiguity validation process. In this paper, the Galileo constellation data is tested with simulated observations. Numerical results from our experiment clearly demonstrate that only when the computed success rate is very high, the AR validation can provide decisions about the correctness of AR which are close to real world, with both low AR risk and false alarm probabilities. The results also indicate that the PAR procedure can automatically chose adequate number of ambiguities to fix at given high-success rate from the multiple constellations instead of fixing all the ambiguities. This is a benefit that multiple GNSS constellations can offer.     

载波相位约束整周模糊度在短基线RTK中的应用

针对单历元RTK定位中受到卫星升起、周跳频发等外界条件干扰时,整周模糊度长时间不能固定,严重影响RTK定位实时精度的问题。文中提出一种用载波相位约束整周模糊度的方法来提高模糊度固定率、Ratio值和解算精度,并且结合GPS单系统、GPS/GLONASS双系统两组实测数据进行未加入和加入载波相位约束整周模糊度的比较实验。结果表明该方法可行。     

Cycle slip detection and repair of undifferenced single-frequency GPS carrier phase observations

Cycle slip detection and repair is an important issue in the GPS data processing. Different methods have been developed to detect and repair cycle slips on undifferenced , single- or double-differenced observations. The issue is still crucial for high-precision GPS positioning, especially for the undifferenced GPS observations. A method is proposed to fix cycle slips based on the generalized likelihood ratio (GLR) test. The method has a good performance on cycle slip fixing of undifferenced carrier phase observations on individual frequencies, either on L1 or on L2, without making a linear combination among the observables. The functional model is a piecewise cubic curve fitted to a number of consecutive data using the least squares cubic spline approximation (LS-CSA). For fixing the cycle slips, an integer estimation technique is employed to determine the integer values from the float solution. The performance of the proposed method is then compared with the existing two methods using simulated data. The results on a few GPS data sets with sampling rate of 1 Hz or higher confirm that this method can detect and correct all simulated cycle slips regardless of the size of the cycle slip or the satellite elevation angle. The efficacy of the method is then investigated on the GPS data sets with lower sampling rates of 5, 10, and 30 s. The results indicate that the proposed method always performs the best for the data sets considered. This is thus an appropriate method for cycle slip detection and repair of single-frequency GPS observations.     

双频相位求差法与多普勒法探测与修复周跳的比较

介绍产生周跳和常用的探测与修复周跳方法,并通过用双频相位求差法和多普勒方法对周跳进行探测和修复,算例结果表明两种方法均能准确地锁定发生小周跳的历元,且能高效地修复观测值。两种方法执行效率高,实用性强,适合RTK等动态导航定位的应用。     

一种GPS周跳探测与修复的组合算法

周跳是影响GPS定位精度的一个重要因素,对周跳的探测与修复一直是个重要问题。首先研究了电离层残差法、宽巷相位减窄巷伪距法两种经典方法的优缺点,提出了一种探测周跳的组合算法。根据周跳的整数特性,利用搜索整数解的思想确定周跳的大小进而修复周跳。经实测数据检验,该算法有效可行,有很强的实用性。