聚类分析的伪距偏差特性研究

针对如何对由信号畸变导致的伪距偏差数据快速准确地进行判断分类这个问题,该文进行了分析研究,提出采用聚类分析中的K-medoids算法展开伪距偏差特性研究,实现信号畸变导致的伪距偏差自动判别.通过对实际观测数据的分析比较可以看出,引入聚类分析方法实现伪距偏差的自动判别比仅按照接收机厂商、接收机模型划分伪距偏差更加符合实际情况.由信号畸变导致的伪距偏差在全球卫星导航系统(GNSS)精密数据处理中至关重要,会对精密单点定位精度和收敛性能、电离层延迟提取等产生影响.随着卫星导航系统以及GNSS跟踪网的建设与完善,海量的基准站及丰富的接收机类型为GNSS精密处理带来了更多的挑战.引入聚类分析方法实现了伪距偏差的自动判别,对于卫星导航精密数据处理性能具有重要的意义.     

Impact of GLONASS pseudorange inter-channel biases on satellite clock corrections

GLONASS carrier phase and pseudorange observations suffer from inter-channel biases (ICBs) because of frequency division multiple access (FDMA). Therefore, we analyze the effect of GLONASS pseudorange inter-channel biases on the GLONASS clock corrections. Different Analysis Centers (AC) eliminate the impact of GLONASS pseudorange ICBs in different ways. This leads to significant differences in the satellite and AC-specific offsets in the GLONASS clock corrections. Satellite and AC-specific offset differences are strongly correlated with frequency. Furthermore, the GLONASS pseudorange ICBs also leads to day-boundary jumps in the GLONASS clock corrections for the same analysis center between adjacent days. This in turn will influence the accuracy of the combined GPS/GLONASS precise point positioning (PPP) at the day-boundary. To solve these problems, a GNSS clock correction combination method based on the Kalman filter is proposed. During the combination, the AC-specific offsets and the satellite and AC-specific offsets can be estimated. The test results show the feasibility and effectiveness of the proposed clock combination method. The combined clock corrections can effectively weaken the influence of clock day-boundary jumps on combined GPS/GLONASS kinematic PPP. Furthermore, these combined clock corrections can improve the accuracy of the combined GPS/GLONASS static PPP single-day solutions when compared to the accuracy of each analysis center alone.     

三频载波相位伪距平滑算法分析与比较

针对现代化卫星导航系统的三频新特点,本文推导了利用多频载波相位平滑单频伪距及组合伪距的一般算法,提出通用的计算方程和解析表达式,比对了三频GNSS系统中的3种平滑算法,并进行实测数据验证和分析.理论分析表明三频二阶伪距平滑算法噪声方差性能最差,三频一阶伪距平滑算法噪声方差性能与双频伪距平滑算法相当.     

北斗三号卫星导航信号接收机端伪距偏差建模与验证

接收机端伪距偏差是指非理想的卫星导航信号在接收机前端带宽和相关器间隔不同时产生的伪距测量系统性偏差.研究表明,北斗二号、GPS和Galileo系统均存在与接收机类型相关的伪距偏差,影响基于混合类型接收机站网的精密数据处理.本文基于iGMAS网和MGEX网观测数据,采用MW组合、伪距残差和伪距无几何距离无电离层组合3种方...     

GLONASS pseudorange inter-channel biases and their effects on combined GPS/GLONASS precise point positioning

Combined GPS/GLONASS precise point positioning (PPP) can obtain a more precise and reliable position than GPS PPP. However, because of frequency division multiple access, GLONASS carrier phase and pseudorange observations suffer from inter-channel biases (ICBs) which will influence the accuracy and convergence speed of combined GPS/GLONASS PPP. With clear understanding of the characteristics of carrier phase ICBs, we estimated undifferenced GLONASS pseudorange ICBs for 133 receivers from five manufacturers and analyzed their characteristics. In general, pseudorange ICBs corresponding to the same firmware have strong correlations. The ICB values of two receivers with the same firmware may be different because of different antenna types, and their differences are closely related to frequency. Pseudorange ICBs should be provided for each satellite to obtain more precise ICBs as the pseudorange ICBs may vary even on the same frequency. For the solutions of standard point positioning (SPP), after pseudorange ICB calibration, the mean root mean square (RMS) improvements of GLONASS SPP reach up to 57, 48, and 53 % for the East, North, and Up components, while combined GPS/GLONASS SPP reach up to 27, 17, and 23 %, respectively. The combined GPS/GLONASS PPP after pseudorange ICB calibration evidently improved the convergence speed, and the mean RMS of PPP improved by almost 50 % during the convergence period.     

On the short-term temporal variations of GNSS receiver differential phase biases

As a first step towards studying the ionosphere with the global navigation satellite system (GNSS), leveling the phase to the code geometry-free observations on an arc-by-arc basis yields the ionospheric observables, interpreted as a combination of slant total electron content along with satellite and receiver differential code biases (DCB). The leveling errors in the ionospheric observables may arise during this procedure, which, according to previous studies by other researchers, are due to the combined effects of the code multipath and the intra-day variability in the receiver DCB. In this paper we further identify the short-term temporal variations of receiver differential phase biases (DPB) as another possible cause of leveling errors. Our investigation starts by the development of a method to epoch-wise estimate between-receiver DPB (BR-DPB) employing (inter-receiver) single-differenced, phase-only GNSS observations collected from a pair of receivers creating a zero or short baseline. The key issue for this method is to get rid of the possible discontinuities in the epoch-wise BR-DPB estimates, occurring when satellite assigned as pivot changes. Our numerical tests, carried out using Global Positioning System (GPS, US GNSS) and BeiDou Navigation Satellite System (BDS, Chinese GNSS) observations sampled every 30 s by a dedicatedly selected set of zero and short baselines, suggest two major findings. First, epoch-wise BR-DPB estimates can exhibit remarkable variability over a rather short period of time (e.g. 6 cm over 3 h), thus significant from a statistical point of view. Second, a dominant factor driving this variability is the changes of ambient temperature, instead of the un-modelled phase multipath.     

Calibration of the clock-phase biases of GNSS networks: the closure-ambiguity approach

In global navigation satellite systems (GNSS), the problem of retrieving clock-phase biases from network data has a basic rank defect. We analyse the different ways of removing this rank defect, and define a particular strategy for obtaining these phase biases in a standard form. The minimum-constrained problem to be solved in the least-squares (LS) sense depends on some integer vector which can be fixed in an arbitrary manner. We propose to solve the problem via an undifferenced approach based on the notion of closure ambiguity. We present a theoretical justification of this closure-ambiguity approach (CAA), and the main elements for a practical implementation. The links with other methods are also established. We analyse all those methods in a unified interpretative framework, and derive functional relations between the corresponding solutions and our CAA solution. This could be interesting for many GNSS applications like real-time kinematic PPP for instance. To compare the methods providing LS estimates of clock-phase biases, we define a particular solution playing the role of reference solution. For this solution, when a phase bias is estimated for the first time, its fractional part is confined to the one-cycle width interval centred on zero; the integer-ambiguity set is modified accordingly. Our theoretical study is illustrated with some simple and generic examples; it could have applications in data processing of most GNSS networks, and particularly global networks using GPS, Glonass, Galileo, or BeiDou/Compass satellites.     

Simultaneous estimation of GLONASS pseudorange inter-frequency biases in precise point positioning using undifferenced and uncombined observations

GLONASS precise point positioning (PPP) performance is affected by the inter-frequency biases (IFBs) due to the application of frequency division multiple access technique. In this contribution, the impact of GLONASS pseudorange IFBs on convergence performance and positioning accuracy of GLONASS-only and GPS + GLONASS PPP based on undifferenced and uncombined observation models is investigated. Through a re-parameterization process, the following four pseudorange IFB handling schemes were proposed: neglecting IFBs, modeling IFBs as a linear or quadratic polynomial function of frequency number, and estimating IFBs for each GLONASS satellite. One week of GNSS observation data from 132 International GNSS Service stations was selected to investigate the contribution of simultaneous estimation of GLONASS pseudorange IFBs on GLONASS-only and combined GPS + GLONASS PPP in both static and kinematic modes. The results show that considering IFBs can speed up the convergence of PPP using GLONASS observations by more than 20%. Apart from GLONASS-only kinematic PPP, the positioning accuracy of GLONASS-only and GPS + GLONASS PPP is comparable among the four schemes. Overall, the scheme of estimating IFBs for each GLONASS satellite outperforms the other schemes in both convergence time reduction and positioning accuracy improvement, which indicates that the GLONASS IFBs may not strictly obey a linear or quadratic function relationship with the frequency number.     

Robustness of GNSS integer ambiguity resolution in the presence of atmospheric biases

Both the underlying model strength and biases are two crucial factors for successful integer GNSS ambiguity resolution (AR) in real applications. In some cases, the biases can be adequately parameterized and an unbiased model can be formulated. However, such parameterization will, as trade-off, reduce the model strength as compared to the model in which the biases are ignored. The AR performance with the biased model may therefore be better than with the unbiased model, if the biases are sufficiently small. This would allow for faster AR using the biased model, after which the unbiased model can be used to estimate the remaining unknown parameters. We assess the bias-affected AR performance in the presence of tropospheric and ionospheric biases and compare it with the unbiased case. As a result, the maximum allowable biases are identified for different situations where CORS, static and kinematic baseline models are considered with different model settings. Depending on the size of the maximum allowable bias, a user may decide to use the biased model for AR or to use the unbiased model both for AR and estimating the other unknown parameters.     

一种加窗速度平滑伪距的定位算法

海面传感器网络的跟踪定位受到海浪以及海杂波的影响,难以满足协同观测、协同通信以及协同环境遥感等任务的精度需求,针对这一问题文中提出了加窗径向速度平滑伪距的定位方法(WVSP),并利用MonteCarlo仿真技术分析了该算法应对海杂波和链路测距粗差的定位精度。仿真处理的结果表明:与常用的直接伪距定位法、速度平滑伪距定位法相比较,WVSP能够有效地削弱测距链路中粗差的影响,降低了海杂波的干扰,使定位精度收敛。     

多频多模GNSS接收机差分相位偏差的短期时变特性

随着中国北斗三号全球导航卫星系统(BeiDou-3 Navigation Satellite System,BDS-3)的建成、欧盟伽利略系统(Galileo)及日本准天顶卫星系统(quasi-zenith satellite system,QZSS)的发展,越来越多的卫星可用于反演大气电离层.通常,接收机差分码偏差(differential code biases,DCB)的短时变化被认为是利用全球导航卫星系统(Global Navigation Satellite System,GNSS)反演电离层的重要误差来源,然而,有研究表明,接收机差分相位偏差(differential phase biases,DPB)的短时变化也有可能影响电离层反演的精度和可靠性.为此,本文提出了基于站间单差模型并采用不变换参考星策略来估计接收机DPB的方法,可实现接收机DPB的连续估计.基于几台可跟踪BDS-3信号的多频多模接收机采集的数据,对BDS-3、Galileo、GPS和QZSS重叠频率组合的DPB进行了分析.结果表明,四系统的接收机DPB日变化都是很明显的,并且和温度有很强的相关性;基于不同系统重叠频率组合的DPB之间存在强相关;基于相同类型接收机的DPB的变化也存在明显的相关性.     

On the impact of GNSS ambiguity resolution: geometry,ionosphere, time and biases

Integer ambiguity resolution (IAR) is the key to fast and precise GNSS positioning and navigation. Next to the positioning parameters, however, there are several other types of GNSS parameters that are of importance for a range of different applications like atmospheric sounding, instrumental calibrations or time transfer. As some of these parameters may still require pseudo-range data for their estimation, their response to IAR may differ significantly. To infer the impact of ambiguity resolution on the parameters, we show how the ambiguity-resolved double-differenced phase data propagate into the GNSS parameter solutions. For that purpose, we introduce a canonical decomposition of the GNSS network model that, through its decoupled and decorrelated nature, provides direct insight into which parameters, or functions thereof, gain from IAR and which do not. Next to this qualitative analysis, we present for the GNSS estimable parameters of geometry, ionosphere, timing and instrumental biases closed-form expressions of their IAR precision gains together with supporting numerical examples.     

GPS伪距单点定位算法的综合比较

本文对目前国际上所有的GPS伪距单点定位算法,即线性最小二乘法、非线性最小二乘法、格网搜索法、kleus法的基本原理及程序实现步骤进行了阐述,并从算法的可靠性、准确性及作业效率等方面进行了综合比较分析。     

智能RTK GNSS接收机的关键技术研究

在传统GPS-RTK GNSS接收机基础上研究以嵌入式Linux为操作系统,兼容CDMA 3G数据链的智能RTK GNSS接收机的关键技术及创新性.智能型RTK GNSS接收机采用当前最成熟的3G技术,配合Linux系统强大的网络功能,不仅可以高效传输差分数据,还可以完成远程数据采集、图形显示、数据下载上传等功能.可以预见,智能RTK GNSS接收机在现代测量作业中将拥有一个无限开阔的市场前景和潜在效益.     

地磁暴对北斗用户伪距定位的影响分析

地磁暴是近地空间经常发生的一种自然现象.发生磁暴时,电离层会发生明显的波动,导致电离层模型改正精度下降,进而影响单频用户定位解算结果.利用哈尔滨、北京、三亚三个地区的观测结果,计算了2017年4月地磁暴发生前后的电离层变化,并分别解算了双频模式、单频基本导航模式和单频增强模式下的伪距定位结果,对比了不同模式定位结果的差异.发现在地磁暴期间,双频定位结果最好,单频增强模式的结果稍逊于双频结果,两种模式一般优于单频基本导航模式.     

GPS单频伪距相位平滑的离散性分析

基于Hatch滤波方法进行伪距相位平滑的研究,对GPS单频伪距相位平滑的离散性进行理论分析,给出移动窗口分段平滑方法的处理方案.采用自编软件,利用IGS跟踪站数据,对单频伪距相位平滑的离散性进行数据验证;对基于Hatch滤波的移动窗口分段平滑方法的可行性和效果进行分析,结果表明:移动窗口分段平滑方法可以较好地控制单频伪...     

A review on the inter-frequency biases of GLONASS carrier-phase data

GLONASS ambiguity resolution (AR) between inhomogeneous stations requires correction of inter-frequency phase biases (IFPBs) (a “station” here is an integral ensemble of a receiver, an antenna, firmware, etc.). It has been elucidated that IFPBs as a linear function of channel numbers are not physical in nature, but actually originate in differential code-phase biases (DCPBs). Although IFPBs have been prevalently recognized, an unanswered question is whether IFPBs and DCPBs are equivalent in enabling GLONASS AR. Besides, general strategies for the DCPB estimation across a large network of heterogeneous stations are still under investigation within the GNSS community, such as whether one DCPB per receiver type (rather than individual stations) suffices, as tentatively suggested by the IGS (International GNSS Service), and what accuracy we are able to and ought to achieve for DCPB products. In this study, we review the concept of DCPBs and point out that IFPBs are only approximate derivations from DCPBs, and are potentially problematic if carrier-phase hardware biases differ by up to several millimeters across frequency channels. We further stress the station and observable specific properties of DCPBs which cannot be thoughtlessly ignored as conducted conventionally. With 212 days of data from 200 European stations, we estimated DCPBs per stations by resolving ionosphere-free ambiguities of \(\sim \)5.3 cm wavelengths, and compared them to the presumed truth benchmarks computed directly with L1 and L2 data on ultra-short baselines. On average, the accuracy of our DCPB products is around 0.7 ns in RMS. According to this uncertainty estimates, we could unambiguously confirm that DCPBs can typically differ substantially by up to 30 ns among receivers of identical types and over 10 ns across different observables. In contrast, a DCPB error of more than 6 ns will decrease the fixing rate of ionosphere-free ambiguities by over 20 %, due to their smallest frequency spacing and highest sensitivity to DCPB errors. Therefore, we suggest that (1) the rigorous DCPB model should be implemented instead of the classic, but inaccurate IFPB model; (2) DCPBs of sub-ns accuracy can be achieved over a large network by efficiently resolving ionosphere-free ambiguities; (3) DCPBs should be estimated and applied on account of their station and observable specific properties, especially for ambiguities of short wavelengths.     

An analytical study on the carrier-phase linear combinations for triple-frequency GNSS

The linear combinations of multi-frequency carrier-phase measurements for Global Navigation Satellite System (GNSS) are greatly beneficial to improving the performance of ambiguity resolution (AR), cycle slip correction as well as precise positioning. In this contribution, the existing definitions of the carrier-phase linear combination are reviewed and the integer property of the resulting ambiguity of the phase linear combinations is examined. The general analytical method for solving the optimal integer linear combinations for all triple-frequency GNSS is presented. Three refined triple-frequency integer combinations solely determined by the frequency values are introduced, which are the ionosphere-free (IF) combination that the Sum of its integer coefficients equal to 0 (IFS0), the geometry-free (GF) combination that the Sum of its integer coefficients equal to 0 (GFS0) and the geometry-free and ionosphere-free (GFIF) combination. Besides, the optimal GF, IF, extra-wide lane and ionosphere-reduced integer combinations for GPS and BDS are solved exhaustively by the presented method. Their potential applications in cycle slip detection, AR as well as precise positioning are discussed. At last, a more straightforward GF and IF AR scheme than the existing method is presented based on the GFIF integer combination.     

A collinearity diagnosis of the GNSS geocenter determination

The problem of observing geocenter motion from global navigation satellite system (GNSS) solutions through the network shift approach is addressed from the perspective of collinearity (or multicollinearity) among the parameters of a least-squares regression. A collinearity diagnosis, based on the notion of variance inflation factor, is therefore developed and allows handling several peculiarities of the GNSS geocenter determination problem. Its application reveals that the determination of all three components of geocenter motion with GNSS suffers from serious collinearity issues, with a comparable level as in the problem of determining the terrestrial scale simultaneously with the GNSS satellite phase center offsets. The inability of current GNSS, as opposed to satellite laser ranging, to properly sense geocenter motion is mostly explained by the estimation, in the GNSS case, of epoch-wise station and satellite clock offsets simultaneously with tropospheric parameters. The empirical satellite accelerations, as estimated by most Analysis Centers of the International GNSS Service, slightly amplify the collinearity of the $Z$ geocenter coordinate, but their role remains secondary.     

智能手机观测值伪距平滑实时定位研究

本文针对智能手机内部天线构造、GNSS接收芯片等因素限制,手机原始观测值易受外部环境影响,观测噪声大,导致定位精度较差的问题,面向大众导航定位需求,以提高手机伪距单点定位精度为目标,在对手机载波观测值周跳探测的基础上,研究对比分析了基于载波、多普勒平滑下的伪距单点定位的性能。试验表明:载波平滑伪距和多普勒平滑伪距都可以有效提高定位精度,但多普勒平滑伪距具有更好的稳定性且定位精度更好,统计显示在东(E)、北(N)、高(U) 3个方向的均方根值(RMS)分别提高了52%、62%、60%,平面精度优于1.5 m。