An improved real-time cycle slip correction algorithm based on Doppler-aided signals for BDS triple-frequency measurements

Doppler, which is an instantaneous GNSS observable signal, has been proven effective in determining velocity and acceleration due to its high availability and accuracy. We propose a real-time triple-frequency cycle slip correction (CSC) method based on Doppler-aided signals because Doppler shift is time-independent and immune to cycle slips. When the sampling interval is less than 1 s, cycle slips on triple-frequency can be detected and repaired using pure Doppler data with high reliability; however, this method cannot be used when the sampling interval exceeds 1 s because the integral cumulative error of Doppler increases significantly. For such cases, a modified triple-frequency CSC approach has been developed based on the raw phase and smoothed code data that was refined using the Doppler signal. To suppress the effect of the integral Doppler error, a balance factor is introduced to adjust the contributions of the raw code and Doppler observables. After the refinement of the GNSS data, three independent combinations need be selected to detect and repair cycle slips with triple-frequency observations. Four constrained criteria have been proposed to select optimal combinations that can reduce the residual ionospheric delay (RID) and measurement noise to a low level. Finally, experiments were carried out to test the performance of the new method using real triple-frequency BDS observations (GPST: 3:15:00–5:55:00, March 23, 2018). The results show that pure Doppler can detect and repair cycle slips effectively with small intervals, and modified Hatch-Melbourne-Wübbena (HMW) method based on Doppler-aided signals can achieve 99.7% success rate in cycle slip correction with large intervals (up to 30 s).     

一种用INS辅助GPS周跳检测和求解整周模糊度的方法

在INS／GPS全组合导航系统中，需要利用GPS载波相位测量信息，其中整周模糊度的确定和周跳的检测是两个关键的技术。文中提出了利用INS信息对GPS解算过程中的周跳检测和整周模糊度的确定进行辅助解算的简易快速算法，并进行了计算机仿真。仿真结果表明，文中提出的INS辅助GPS的周跳检测简易算法可以有效的检测出发生的小到一周的周跳；在一定条件下，利用INS信息辅助GPS可以瞬时可靠地求解出整周模糊度。     

基于载波相位三差的航天器GPS/INS组合定姿算法

研究了一种利用GPS载波相位三差观测信息的多天线GPS/INS组合定姿算法,其中包含一个基于惯性测量信息的GPS载波相位周跳检测算法。最后,通过仿真分析验证了该组合算法可以有效提高定姿精度,同时具有较好的稳定性。     

Galileo/GPS载波相位组合观测值可匹配的研究

详细讨论了Galileo系统的4种载波与GPS L2载波的相位组合观测值的可匹配问题.在模糊度保持为整数的前提下,给出了Galileo/GPS载波相位组合观测值的定义,并对包括系统噪声和观测噪声在内的有关误差影响加以分析,最后给出了组合观测值可匹配的定义和判断可匹配的充要条件.      

适用于单频GPS用户的周跳探测方法

针对单频GPS(Global Position System)用户的载波相位周跳探测问题,在传统的载波相位和伪距组合方法的基础上提出了一种新的周跳探测方法.该方法将载波相位和码伪距的组合观测量在历元间做差形成差分序列,以此构造实时的周跳探测量,由于该探测量易受观测噪声的影响,因此使用仰角指数模型作为经验模型对于测距噪声进行估计,基于假设检验的方法,通过对该探测量是否超过相应的检测门限来判断是否存在周跳.在实测的GPS观测数据基础上,对这一方法进行了验证,结果表明:相对于传统的周跳探测方法,该方法可以更加及时、准确地发现较小的周跳,对于单频的GPS用户具有较好的适应性.      

GPS相位平滑伪距技术在广域差分定位中的应用

分析了在广域差分GPS定位技术中使用分段平滑滤波器进行载波相位平滑伪距来提高定位精度的实现方法,并针对在平滑技术中出现的周跳问题提出一种使用小波进行探测周跳的方法,用实际的工程算例验证了该方法的可行性和有效性。     

载波相位辅助的GPS动态单点定位算法综述

对载波相位辅助条件下应用于全球定位系统（Global Positioning System,GPS）动态单点定位的各种算法进行了综合分析与比较。首先简要介绍定位算法中的基本公式与观测模型;然后分别对周跳修复与滤波解算两部分所应用的各种算法进行详细介绍并比较其性能与适用范围;最后对尚待解决的问题及可能的发展方向进行了总结。     

电离层不规则结构对GPS性能的影响

电离层不规则结构的存在可引起无线电信号的幅度和相位发生随机起伏, 这 种电离层闪烁现象会影响全球定位系统(Global Positioning System, GPS)的 性能, 降低定位精度, 严重时导致信号失锁. 电离层不规则结构对GPS性能的 影响涉及电离层物理、接收机设计和表征卫星几何分布的精度衰减因子(Dilution of Positioning, DOP)等多方面因素. 本文通过对表征电离层不规则结构参数 的分析, 根据GPS接收机跟踪环路和闪烁信号模型, 综合研究了电离层闪烁对 GPS接收机载波跟踪环和码跟踪环跟踪误差的影响; 结合实际观测, 评述 了电离层不规则结构对单频和双频GPS接收机定位性能的影响, 在此基础上 提出了有待深入研究的问题及具体建议.      

Dual-frequency carrier smoothed code filtering with dynamical ionospheric delay modeling

In GNSS applications, carrier-smoothed-code is a widely used technique to combine code pseudo-range and carrier phase measurements. A dynamical ionospheric delay modeling method is proposed based on Kalman filter and least-squares theory. The level of the process noise is adaptively tuned along with the real-time KF state estimation, based on the online variance component estimation method. Meanwhile, the correlations of the time differenced carrier phase measurements are considered. This approach avoids overly optimistically evaluating the estimate and improves the transient accuracy of the estimates. A real GPS dataset is employed to check the performance of the proposed method under different conditions. The results show that the new algorithm can model the ionospheric delay variation well with different sampling intervals or even in ionospheric abnormal environment. The positioning accuracy can be confirmed, about 21%, 35% and 16% better are obtained in the N, E, and U direction than raw dataset.     

基于GPS的载体角速度测量

利用GPS差分载波相位变化率测量信息,提出了一种基于 GPS进行载体角速度测量的方法,建立了测量数学模型,并进行了测量误差分析,最后进行 了计算机仿真。仿真结果分析表明,使用该方法可以得到较为满意的结果。     

基于DSP＋LAMBDA算法的GPS实时定位技术研究

主要分析了GPS载波相位整周模糊度LAMBDA求解算法,通过数据模拟测试来验证该算法在DSP上的工作状况。仿真计算证明,在DSP上实现LAMBDA算法可以满足GPS实时动态定位的要求。     

观测资料和卫星钟差对PPP参数收敛影响分析

在GPS 单点定位中, 参数解算的收敛时间和收敛稳定性是重要的研究内容之一, 影响收敛时间和收敛稳定性的因素很多, 本文主要就观测资料的不同采样间隔、卫星钟差资料的不同采样间隔、不同的定位精度要求对精密单点定位中参数收敛时间的影响进行了深入的分析探讨, 以中国上海GPS综合应用网中的12个测站资料为例, 分析了采样间隔、定位精度要求与收敛时间的关系, 并对不同采样间隔的收敛时间进行了统计分析, 得出一些初步结论.      

Accuracy assessment of single and double difference models for the single epoch GPS compass

The single epoch GPS compass is an important field of study, since it is a valuable technique for the orientation estimation of vehicles and it can guarantee a total independence from carrier phase slips in practical applications. To achieve highly accurate angular estimates, the unknown integer ambiguities of the carrier phase observables need to be resolved. Past researches focus on the ambiguity resolution for single epoch; however, accuracy is another significant problem for many challenging applications. In this contribution, the accuracy is evaluated for the non-common clock scheme of the receivers and the common clock scheme of the receivers, respectively. We focus on three scenarios for either scheme: single difference model vs. double difference model, single frequency model vs. multiple frequency model and optimal linear combinations vs. traditional triple-frequency least squares. We deduce the short baseline precision for a number of different available models and analyze the difference in accuracy for those models. Compared with the single or double difference model of the non-common clock scheme, the single difference model of the common clock scheme can greatly reduce the vertical component error of baseline vector, which results in higher elevation accuracy. The least squares estimator can also reduce the error of fixed baseline vector with the aid of the multi-frequency observation, thereby improving the attitude accuracy. In essence, the “accuracy improvement” is attributed to the difference in accuracy for different models, not a real improvement for any specific model. If all noise levels of GPS triple frequency carrier phase are assumed the same in unit of cycles, it can be proved that the optimal linear combination approach is equivalent to the traditional triple-frequency least squares, no matter which scheme is utilized. Both simulations and actual experiments have been performed to verify the correctness of theoretical analysis.     

基于实时SSR数据的LEO卫星精密单点定位研究

对目前低轨卫星实时定位的方法进行了研究,现在通常采用GPS定位,使用广播星历和普通晶振,实时定位精度一般在10m以内,不能满足高精度实时定位的需求。IGS组织在全球范围内对GPS跟踪分析,生成精密星历、精密钟差产品、按SSR格式的广播星历和钟差修正产品并在网上发布。对这些IGS产品进行了调查,提出在现有测控支持情况下,可以通过高密度上注SSR信息流实现在轨高精度定位。以某型号低轨微小卫星在轨导航增强载荷为应用背景,用IGS03产品中的1057和1058数据对双频GPS接收机的星历和钟差进行修正,采用递推最小二乘估计和LAMDA模糊度固定过对载波相位和伪距信息进行处理,在短时间内获得亚米级定位结果。     

INS辅助的GPS接收机跟踪环结构和性能分析

分析了GPS/INS的不同组合方式,研究了GPS接收机跟踪环的结构,给出了多普勒频移和时钟误差频率的外部估计方法,提出了一种使用低成本惯性器件信息辅助GPS接收机跟踪环的深组合(deepintegration)结构,建立了这种结构的前馈模型,并对其进行了仿真分析。仿真结果表明,这种结构可以使得接收机具有较宽的跟踪带宽和较好的抑制噪声能力,能显著提高GPS接收机的性能。     

An analysis on combined GPS/COMPASS data quality and its effect on single point positioning accuracy under different observing conditions

With the rapid development of the COMPASS system, it is currently capable of providing regional navigation services. In order to test its data quality and performance for single point positioning (SPP), experiments have been conducted under different observing conditions including open sky, under trees, nearby a glass wall, nearby a large area of water, under high-voltage lines and under a signal transmitting tower. To assess the COMPASS data quality, the code multipath, cycle slip occurrence rate and data availability were analyzed and compared to GPS data. The datasets obtained from the experiments have also been utilized to perform combined GPS/COMPASS SPP on an epoch-by-epoch basis using unsmoothed single-frequency code observations. The investigation on the regional navigation performance aims at low-accuracy applications and all tests are made in Changsha, China, using the “SOUTH S82-C” GPS/COMPASS receivers. The results show that adding COMPASS observations can significantly improve the positioning accuracy of single-frequency GPS-only SPP in environments with limited satellite visibility. Since the COMPASS system is still in an initial operational stage, all results are obtained based on a fairly limited amount of data.     

SINS辅助GPS跟踪环误差分析与最优带宽设计

SINS(Strapdown Inertial Navigation System)辅助GPS(Global Positioning System)跟踪环路的结构设计是SINS/GPS超紧组合系统实现的主要环节,而环路带宽是决定不同误差源作用下GPS跟踪环路性能的关键.首先对SINS/GPS超紧组合系统中影响载波锁相环(PLL,Phase Lock Loop)跟踪性能的各误差源进行了详细的建模与分析,进而设计了一种最优环路带宽的调节方法.该方法基于最小化跟踪误差的准则,根据接收机检测到的信号载噪比实时调节PLL带宽,以使环路保持最优跟踪状态.结果表明,所设计的最优环路带宽调节方法能够有效提高SINS辅助PLL的抗干扰性能与跟踪精度.     

Preliminary analysis of the quality and positioning performance of BDS-3 global interoperable signal B1C&B2a

BeiDou-3 Navigation Satellite System (BDS-3) satellites are equipped with the new generation GNSS signals B1C and B2a, which support the interoperability with GPS and Galileo systems. In this study, the pseudo-range multipath error and carrier phase observation noise of the BDS-3 B1C and B2a signals were evaluated based on zero baseline measurements from the day of year (DOY) 113 to 116, 2020. Further, the precision and performance of the single point positioning (SPP) and precise point positioning (PPP) are assessed at 9 stations. This assessment manifests that the standard deviations (STDs) of the pseudo-range multipath error are about 0.09 ~ 0.22 m, while STDs of the carrier phase observation noise are about 0.075 mm. For the single-frequency SPP, its positioning precision is about 2.03 ~ 4.85 m and 3.29 ~ 10.73 m at the 99.99% confidence level in horizontal and vertical directions, respectively, while the dual-frequency SPP precision is about 1.92 ~ 8.02 m and 4.81 ~ 12.77 m in horizontal and vertical directions, respectively. For the daily static PPP, the convergence time is about 20 ~ 30 min, while the daily positioning precision can reach 1.38 ~ 4.42 cm and -1.31 ~ 4.34 cm in horizontal and vertical directions, respectively. In general, the quality and the SPP and PPP performance of the BDS-3 B1C&B2a signals are comparable to the GPS and Galileo.     

First evidence of anisotropy of GPS phase slips caused by the mid-latitude field-aligned ionospheric irregularities

The mid-latitude field-aligned irregularity (FAI) along the magnetic field line is a common phenomenon in the ionosphere. However, few data reveal the field-aligned ionospheric irregularities. They are insufficient to identify FAIs effects so far, particularly effect on global positioning system (GPS) signals. In this paper, the mid-latitude FAIs by line-of-sight angular scanning relative to the local magnetic field vector are investigated using the denser GPS network observations in Japan. It has been the first found that total GPS L2 phase slips over Japan, during the recovery phase of the 12 Feb 2000 geomagnetic storm were caused by GPS signal scattering on FAIs both for the lines-of-sight aligned to the magnetic field line (the field of aligned scattering, FALS) and across the magnetic field line (the field of across scattering, FACS). The FALS results are also in a good agreement with the data of the magnetic field orientation control of GPS occultation observations of equatorial scintillation during thorough low earth orbit (LEO) satellites measurements, e.g. Challenging Minisatellite Payload (CHAMP) and Satellite de Aplicaciones Cientificas-C (SAC-C). The role of large-angle scattering almost along the normal to the magnetic field line in GPS scintillation is determined by attenuation of the irregularity anisotropy factor as compared with the other factors.     

GPS授时校频方法研究与试验结果

为了解决多目标综合测量系统各测站之间时间同步和频率校准问题,提出了利用GPS(Global Positioning System)单星或多星共视方法进行站间时间同步与校频,给出了这两种方法的计算公式,分析了星历误差、星钟误差、电离层折射误差、对流层折射误差、多径效应和接收机硬件延迟对时间同步精度的影响.为了验证GPS授时校频精度,进行了相关试验.通过与铯原子钟比对,表明利用GPS可实现纳秒级时间同步,校频精度也优于5.0×10-11,多星共视具有更高的同步校频精度.