Evaluation of COMPASS ionospheric model in GNSS positioning

As important products of GNSS navigation message, ionospheric delay model parameters are broadcasted for single-frequency users to improve their positioning accuracy. GPS provides daily Klobuchar ionospheric model parameters based on geomagnetic reference frame, while the regional satellite navigation system of China’s COMPASS broadcasts an eight-parameter ionospheric model, COMPASS Ionospheric Model(CIM), which was generated by processing data from continuous monitoring stations, with updating the parameters every 2 h. To evaluate its performance, CIM predictions are compared to ionospheric delay measurements, along with GPS positioning accuracy comparisons. Real observed data analysis indicates that CIM provides higher correction precision in middle-latitude regions, but relatively lower correction precision for low-latitude regions where the ionosphere has much higher variability. CIM errors for some users show a common bias for in-coming COMPASS signals from different satellites, and hence ionospheric model errors are somehow translated into the receivers’ clock error estimation. In addition, the CIM from the China regional monitoring network are further evaluated for global ionospheric corrections. Results show that in the Northern Hemisphere areas including Asia, Europe and North America, the three-dimensional positioning accuracy using the CIM for ionospheric delay corrections is improved by 7.8%–35.3% when compared to GPS single-frequency positioning ionospheric delay corrections using the Klobuchar model. However, the positioning accuracy in the Southern Hemisphere is degraded due apparently to the lack of monitoring stations there.     

三频信标高精度TEC测量新方法

电子总含量(TEC)是电离层探测的主要参量之一, 作为层析(CT)的输入参量, TEC测量精度直接影响电离层CT成像的结果. 过去主要采用双频信标测量TEC, 由于相位积分常数的求解、系统硬件延迟等误差, 使得TEC测量结果不能满足电离层CT高精度重建成像的要求. 三频相干信标技术的出现, 使得电离层天基测量技术有了新的发展. 提出了基于三频信标的传播时延-相位联合测量反演TEC的方法, 融合三频信标在电子密度随机起伏探测和相位积分常数计算两方面的优势, 进一步提高了TEC的测量精度. 模拟结果显示利用此方法的三频信标TEC测量结果提高了电离层CT的精度.      

基于火卫二视线测量的火星接近段自主导航算法

针对火星接近段导航通信时延大、存在通信盲区、自主导航可用观测信息有限等问题,提出了一种基于一组火卫二相对探测器视线矢量测量的天文自主导航算法,每个导航周期测量一组火卫二视线矢量可得到其中某一时刻探测器的完整轨道信息的估计值,该方法不依赖于轨道渐近线方向等先验信息。考虑到存在火卫二和火星在同一视场的情形,此时结合火星中心视线矢量方向以及火卫二的星历信息可估计出精度较高的探测器轨道半径,作为第一种方法的补充观测量,提高导航精度。最后给出仿真校验,验证了该方法的导航精度和可行性,表明该方案能够满足未来火星探测接近段自主导航需求。     

Ionospheric path delay models for spaceborne GPS receivers flying in formation with large baselines

GPS relative navigation filters could benefit notably from an accurate modeling of the ionospheric delays, especially over large baselines (>100 km) where double difference delays can be higher than several carrier wavelengths. This paper analyzes the capability of ionospheric path delay models proposed for spaceborne GPS receivers in predicting both zero-difference and double difference ionospheric delays. We specifically refer to relatively simple ionospheric models, which are suitable for real-time filtering schemes. Specifically, two ionospheric delay models are evaluated, one assuming an isotropic electron density and the other considering the effect on the electron density of the Sun aspect angle. The prediction capability of these models is investigated by comparing predicted ionospheric delays with measured ones on real flight data from the Gravity Recovery and Climate Experiment mission, in which two satellites fly separated of more than 200 km. Results demonstrate that both models exhibit a correlation in the excess of 80% between predicted and measured double-difference ionospheric delays. Despite its higher simplicity, the isotropic model performs better than the model including the Sun effect, being able to predict double differenced delays with accuracy smaller than the carrier wavelength in most cases. The model is thus fit for supporting integer ambiguity fixing in real-time filters for relative navigation over large baselines. Concerning zero-difference ionospheric delays, results demonstrate that delays predicted by the isotropic model are highly correlated (around 90%) with those estimated using GPS measurements. However, the difference between predicted and measured delays has a root mean square error in the excess of 30 cm. Thus, the zero-difference ionospheric delays model is not likely to be an alternative to methods exploiting carrier-phase observables for cancelling out the ionosphere contribution in single-frequency absolute navigation filters.     

Inertial aided BDS triple-frequency integer ambiguity rounding method

The integer ambiguity resolution (AR) of carrier phase is significant for Global Navigation Satellite System (GNSS) precise positioning. However, in kinematic case, single-epoch AR methods based on alone GNSS are usually not reliable due to the instable pseudorange accuracy. Moreover, the computation of classical AR method Least Squares Ambiguity Decorrelation Adjustment (LAMBDA) is large. Thus, the inertial measurement unit (IMU) is introduced, a new inertial-aided AR method that directly rounds the float ambiguity of BeiDou triple-frequency combined observations, which is characterized by long wavelength, low carrier-phase noise and ionospheric delay, is proposed. The mathematical model of the new method is derived first. Then the impacts of the carrier-phase noise, ionospheric delay and inertial navigation system (INS) position error on the AR success ratio of combined observation are analyzed through probabilistic approach. Based on above investigation, the combinations (0, ?1, 1), (1, 4, ?5) and (4, ?2, ?3) are selected to resolve the original ambiguity. A vehicular integrated navigation test is performed to demonstrate the proposed method. The results show that the average AR success ratios of the three selected combinations, whose float ambiguity errors are 0.041, 0.146, 0.279 cycle respectively, are above 97.25% without regard to low-elevation C05. With respect to positioning accuracy based on our AR method when compared with IE software, the east, north, up error RMS of position are 0.042, 0.024, 0.069 m, respectively. In terms of the AR recover after the BeiDou signals outage, as long as 62 s BeiDou signal complete outage, all the ambiguities of all satellites could be re-fixed immediately. Besides, during the 90 s signals partial outage, the AR is not influenced by the position error, since the float ambiguity errors are all below half-cycle. The research of this contribution demonstrates the effectiveness of the proposed new method, which indicates it is applicable to kinematic positioning, even in BDS degraded and denied environments.     

中国区域电离层异常数据野值检测

针对中国区域连续运行参考站接收机野值会干扰星基增强系统（SBAS）电离层异常事件提取的问题，提出了一种基于电离层垂直延迟时间梯度的野值检测方法。首先，介绍了电离层延迟数据的提取方法；然后，论述了依据野值和电离层异常的不同时空相关特性进行野值检测的方法，并用单双频定位误差结果验证了野值检测的正确性；最后，对检测结果进行了分析。结果表明:该方法可有效区分野值和电离层异常；在中国大陆构造环境监测网络200多个参考站中，野值检测所剔除的参考站数目在3~10个，对电离层穿透点空间分布的影响在可接受范围内。      

一种基于探测器下行信号融合处理的无线电干涉测量方法

针对深空探测器常用下行信号体制,结合无线电干涉测量特点,提出了一种基于探测器DOR信标信号和数传信号融合处理的干涉测量方法。该方法首先通过相关处理得到DOR信号和数传信号的差分相位,利用DOR信号进行带宽综合得到时延估计,并构建时延模型;然后,利用时延模型得到DOR信号与数传信号在数传载波处的相位差,并以此对数传信号差分相位进行补偿;最后,利用DOR信号差分相位和补偿后的数传信号差分相位进行带宽综合,实现高精度干涉测量。深空探测网数据处理结果表明融合处理后时延估计随机误差明显降低;但受介质时延误差影响,融合处理对系统时延精度的改善幅度有所减小。该方法仅通过改进干涉测量数据处理方法即实现了时延估计随机误差的改善,不仅提高了信号使用效率,而且增强了航天测控系统的鲁棒性,在应急测控背景下具有特殊意义。     

Kalman滤波估算电离层延迟的一种优化方法

频间偏差（Inter Frequency Bias,IFB）通常会给电离层延迟的解算带来误差.目前从电离层延迟中消除频间偏差的方法是基于GPS双频观测数据建立垂直电离层模型,利用卡尔曼滤波实时估算电离层模型系数和频间偏差.然而滤波过程中的测量噪声协方差矩阵没有考虑系统观测量之间的相关性,这会导致滤波模型不准确,进而影响最后求解的电离层延迟的准确性.本文选取了美国19个参考站的GPS双频观测数据,利用卡尔曼滤波实时估算电离层模型系数以及频间偏差.在滤波过程中,通过将先验频间偏差的估计方差引入测量噪声方差,实现对测量噪声协方差矩阵的优化.计算结果表明,优化后得到的卫星频间偏差与欧洲定轨中心（Center for Orbit Determination in Europe,CODE）得到的频间偏差更接近.将优化后的电离层延迟代入伪距解算,得到的位置误差的标准差在东向和天顶向分别下降了12.5%和15.4%,天顶向误差平均值下降了17.6%,定位精度得到提高.      

Influence of ionospheric perturbations in GPS time and frequency transfer

The stability of GPS time and frequency transfer is limited by the fact that GPS signals travel through the ionosphere. In high precision geodetic time transfer (i.e. based on precise modeling of code and carrier phase GPS data), the so-called ionosphere-free combination of the code and carrier phase measurements made on the two frequencies is used to remove the first-order ionospheric effect. In this paper, we investigate the impact of residual second- and third-order ionospheric effects on geodetic time transfer solutions i.e. remote atomic clock comparisons based on GPS measurements, using the ATOMIUM software developed at the Royal Observatory of Belgium (ROB). The impact of third-order ionospheric effects was shown to be negligible, while for second-order effects, the tests performed on different time links and at different epochs show a small impact of the order of some picoseconds, on a quiet day, and up to more than 10 picoseconds in case of high ionospheric activity. The geomagnetic storm of the 30th October 2003 is used to illustrate how space weather products are relevant to understand perturbations in geodetic time and frequency transfer.     

基于单频星载GPS数据的低轨卫星精密定轨

为满足搭载单频GPS接收机低轨卫星的精密定轨需求以及深化单频定轨研究,文中解决了单频星载GPS数据的周跳探测问题,并利用“海洋二号”（HY-2A）卫星及“资源三号”（ZY-3）卫星的单频星载GPS实测数据采用两种方法确定了二者的简化动力学轨道,并通过观测值残差分析、与双频精密轨道比较、激光测卫数据检核等方法对所得轨道精度进行评定。结果表明,在不考虑电离层延迟影响的情况下,HY-2A卫星定轨精度为2~3dm,ZY-3卫星为1m左右;而采用半和改正组合消除电离层延迟一阶项影响后,二者定轨精度均显著提高,HY-2A卫星三维精度提高至1dm左右,ZY-3卫星提高至1~2dm。文章的研究成果表明,搭载单频GPS接收机的低轨卫星也可获得厘米级的定轨精度。     

基于DDMR辅助的GNSS-R载波相位差测高方法

提出了一种基于时延-多普勒映射接收机（DDMR,Delay-Doppler Map Receiver）辅助的载波相位差提取方法,给出了系统结构及信号处理方法.该方法将DDMR中所观测到的码相位差作为直射信号与反射信号的码相位延时量,将完成跟踪的直射信号扩频码进行对应的延时用于完成对反射信号的开环码跟踪.该方法省去了码相位延时搜索的过程,且可以准确地对反射信号扩频码进行同步.为了验证系统的可行性及实际性能,进行了针对水面高度测量的岸基试验并给出了试验结果.岸基试验证明采用该方法的GNSS-R（Global Navigation Satellite System Reflection）接收机可以稳定地对反射信号进行跟踪并提取直射与反射信号的载波相位差,测高精度约为2.5 cm,经过0.5 s的数据平均后精度可达0.6 cm.      

Galileo卫星导航系统广播Nequick模型及其参数拟合

提出了基于IGRF模型的Galileo广播Nequick模型及其参数拟合算法, 解决了Galileo信号仿真中地理场景映射与地磁坐标下的电离层延时修正参数拟合问题. 应用IGRF模型, 可计算出任意给定位置和时间点的地磁参数以及E层、 F₁层、F₂层的电子密度, 从而计算出Galileo电离层修正参数. 仿真结果表明, 该算法拟合的全球电离层延时与IGS提供的实际观测值基本一致, 仿真精度高于一般的经验电离层模型, 实现了Galileo卫星信号的电离层延时修正参数的精确仿真.      

基于NTCM-BC模型的全球卫星导航系统单频电离层延迟修正

选择NTCM-BC模型作为单频电离层延迟修正模型,通过非线性最小二乘拟合的方法,利用提前一天预测的电离层图（COPG文件）,计算得到NTCM-BC模型修正系数;利用Klobuchar模型和IGS发布的GIM数据对NTCM-BC模型进行比较和分析.对太阳活动高、中、低年实测数据的分析结果表明:全球平均水平上,NTCM-BC模型的电离层延迟修正性能明显优于Klobuchar模型,NTCM-BC模型的TEC平均误差和均方根误差比Klobuchar模型分别下降了41%和30%;模型的TEC计算误差与太阳活动剧烈程度成正相关,即太阳活动高年模型误差较大,太阳活动低年误差相对较低.相较于磁静日,磁扰日期间Klobuchar模型和NCTM模型的误差均有一定程度的增加.此外,模型的电离层修正误差同时存在明显的纬度、季节和地方时差异.      

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.      

一种基于自适应滤波的GPS滚转角估计方法

全球定位系统（GPS）测姿技术主要是利用GPS载波相位和信号功率2种方法，但是测量信息单一且独立，针对旋转载体的测姿问题，提出一种基于自适应滤波的GPS滚转角估计方法，通过融合GPS接收机天线信号功率和多普勒频率信息测量载体滚转角和滚转角速度。利用当前统计模型对滚转角和滚转角速度测量进行系统建模，根据滚转角预测估计值选取量测量，并提出自适应滤波，采用滚转角加速度估计自适应滤波算法，实现了对系统噪声方差阵的自适应调整，避免了滚转角加速度最值的选取问题，降低了噪声的影响。通过仿真验证了基于自适应滤波的GPS滚转角估计方法的可行性，结果表明该方法的测量精度高于无迹卡尔曼滤波（UKF）。      

基于半无码的P(Y)码自相关GNSS-R海面测高方法

针对传统GPS C/A码延迟测高方法测高精度低和互相关测高方法时延波形信噪比低的问题,研究了基于半无码的P（Y）码自相关海面测高方法。首先,通过理论测高精度模型,对比分析了C/A码和P（Y）码的测高精度;然后,描述了L1、L2双频反射信号基于半无码的P（Y）码自相关处理架构,并论述了测高模型和L1、L2双频电离层时延误差修正方法;最后,利用模拟的L1、L2反射信号对比分析了基于半无码的P（Y）码自相关、C/A码自相关以及信号互相关方法的海面测高精度。结果表明:相比于C/A码自相关和信号互相关测高精度,基于半无码的P（Y）码自相关的测高精度分别提高了3.97倍和1.47倍。      

基于修正IMM的风机变桨系统故障诊断方法

针对交互式多模型（IMM）故障诊断方法固定模型转移概率导致的诊断准确性、速度下降和估计精度损失问题，提出了一种基于模型转移概率和模型概率修正的故障诊断方法，并与粒子滤波（PF）结合实现了风机变桨系统传感器的多故障诊断。在非模式切换阶段，采用后验模型概率梯度信息设计模型转移概率的修正函数，以抑制噪声对IMM估计精度的影响；在模式切换阶段，采用模型概率反转的策略快速切换模型，弥补模型软切换导致的诊断延迟和错误诊断。通过仿真实验证明所提方法的准确性、模型切换速度以及状态估计精度都得到了较好的提升。      

Klobuchar电离层模型误差分析及预测

电离层延迟误差是全球导航卫星系统（global navigation satellite system，GNSS）中的重要误差源之一。目前在电离层延迟改正模型中，应用最广泛的是Klobuchar参数模型，但是该模型的改正率仅能达到60%左右，无法满足日益增长的精度需求。将国际GNSS监测评估系统（international GNSS monitoring & assessment system，iGMAS）发布的高精度电离层格网数据作为对照，对Klobuchar电离层模型误差进行计算和分析，结果发现在中纬度区域误差存在明显的周期性特征。为进一步提高Klobuchar电离层模型在中纬度区域的改正精度，建立了基于粒子群优化反向传播（back propagation，BP）神经网络的Klobuchar电离层误差预测模型,并以2019年10月的采样数据为例进行误差预测。结果表明，用该模型对中纬度区域电离层延迟提供误差补偿，可将精度提高到90%左右。     

基于双频GPS观测的电离层TEC与硬件延迟反演方法

利用全球定位系统（Global Positioning System,GPS）的双频观测数据反演得到电离层的总电子含量（Total Electron Content,TEC）,使得广域甚至全球范围高时空分辨率的电离层观测研究成为可能,但由于GPS卫星和接收机对信号的硬件延迟可导致TEC测量系统偏差,因此,需要探索反演TEC并估测GPS卫星与接收机硬件延迟的有效算法.本文根据电离层电波传播理论,阐述了基于双频GPS观测提取电离层TEC的方法,给出TEC与硬件延迟的基本关系.综合研究了TEC与硬件延迟的反演方法,进行分析与归纳分类,在此基础上提出了有待深入研究的问题.      

A new method for improving the performance of an ionospheric model developed by multi-instrument measurements based on artificial neural network

There are remarkable ionospheric discrepancies between space-borne (COSMIC) measurements and ground-based (ionosonde) observations, the discrepancies could decrease the accuracies of the ionospheric model developed by multi-source data seriously. To reduce the discrepancies between two observational systems, the peak frequency (foF2) and peak height (hmF2) derived from the COSMIC and ionosonde data are used to develop the ionospheric models by an artificial neural network (ANN) method, respectively. The averaged root-mean-square errors (RMSEs) of COSPF (COSMIC peak frequency model), COSPH (COSMIC peak height model), IONOPF (Ionosonde peak frequency model) and IONOPH (Ionosonde peak height model) are 0.58 MHz, 19.59 km, 0.92 MHz and 23.40 km, respectively. The results indicate that the discrepancies between these models are dependent on universal time, geographic latitude and seasons. The peak frequencies measured by COSMIC are generally larger than ionosonde’s observations in the nighttime or middle-latitudes with the amplitude of lower than 25%, while the averaged peak height derived from COSMIC is smaller than ionosonde’s data in the polar regions. The differences between ANN-based maps and references show that the discrepancies between two ionospheric detecting techniques are proportional to the intensity of solar radiation. Besides, a new method based on the ANN technique is proposed to reduce the discrepancies for improving ionospheric models developed by multiple measurements, the results indicate that the RMSEs of ANN models optimized by the method are 14–25% lower than the models without the application of the method. Furthermore, the ionospheric model built by the multiple measurements with the application of the method is more powerful in capturing the ionospheric dynamic physics features, such as equatorial ionization, Weddell Sea, mid-latitude summer nighttime and winter anomalies. In conclusion, the new method is significant in improving the accuracy and physical characteristics of an ionospheric model based on multi-source observations.