北斗系统测站钟差短期预报模型比较及其在单星定轨中的应用

北斗卫星导航系统(BDS)地面跟踪站都配置有高精度的氢原子钟,并基于精密定轨数据处理与主站的时间基准进行同步.在卫星轨道机动以及机动恢复期间,通常采用几何法定轨以及单星定轨确定卫星的轨道.而在这两种定轨模式中,需要提供精确的测站钟差作为输入.为提高定轨的实时性,需要对测站钟差进行预报处理.分析了2次多项式模型、附加周期项模型、灰色模型3种模型对北斗地面跟踪站钟差短期拟合和预报的性能,并将钟差预报结果应用于单星定轨,同时还分析了不同预报钟差用于定轨的精度.试验发现,以上3种模型对6个测站钟差的平均拟合精度分别为0.14 ns、0.05 ns、0.27 ns,预报1 h的平均精度分别为1.17 ns、0.88 ns、1.28 ns,预报2 h的平均精度分别为2.72 ns、2.09 ns、2.53 ns.采用3种模型对测站钟差进行预报并用于单星定轨,采用附加周期项的钟差预报模型轨道3维误差最小,不同模型轨道径向精度差异在3 cm以内.以上结果表明,附加周期项的站钟拟合及预报模型在北斗系统机动期间的轨道恢复数据处理具有最好的效果.     

伪距测量中的时标偏差影响分析

伪距是卫星导航系统的基本观测量,是实现导航定位、精密定轨和精确授时的基础。基于伪距、钟差和时标偏差的概念与定义,讨论了时标偏差对卫星伪距测量的影响特性;在此基础上,给出了利用伪距O-C(观测值与计算值之差)进行时标偏差解算的计算模型;理论分析表明:时标偏差影响主要体现在伪距变率项;对于MEO卫星,时标偏差影响不仅会使真实的O-C曲线斜率变大、曲线变长,而且会使多个弧段O-C曲线呈现锯齿状,表现为每个弧段解算的参数不能用于跨弧段预报。最后,利用北斗试验系统MEO卫星实测数据进行了验证分析,试验结果表明:采用实测数据计算的时标偏差精度约在0.02s左右,不同弧段解算结果比较稳定,并且扣除时标偏差后的O-C计算结果也与理论结果具有较好的一致性,从而验证了本文时标偏差理论分析和计算模型的正确性。     

基于GM(1,1)和MECM组合模型的GPS卫星钟差中短期预报

针对卫星钟差呈现趋势项和随机项变化的特点,提出了基于GM(1,1)(灰色预报模型)和修正指数曲线法(Modified Exponential Curve Method,MECM)的组合预报模型.该模型首先采用GM(1,1)预报钟差的趋势项,然后利用MECM模型对GM(1,1)残差序列进行建模和预报,最后将GM(1,1)和MECM模型的预报结果相加得到钟差的最终预报值.此外,采用IGS(International Global Navigation Satellite System Service)公布的精密卫星钟差进行预报试验,通过与卫星钟差预报中常用的二次多项式和MECM模型预报结果的对比分析,结果表明:该方法可以对GPS卫星钟差进行高精度的中短期预报.使用12 h钟差建模时,预报6 h、12 h、18 h和24 h的平均预报精度分别为0.43 ns、0.63 ns、0.74 ns和0.79 ns,相比于二次多项式的平均预报精度分别提高了57.43%、69.71%、80.47%和86.74%,相比于MECM模型的平均预报精度分别提高了50.57%、64.41%、76.80%和84.20%;使用24 h钟差建模时,预报6 h、12 h、18h和24 h的平均预报精度分别为0.57 ns、0.61 ns、1.02 ns和1.48 ns,相比于二次多项式的平均预报精度分别提高了32.94%、55.47%、55.07%和53.16%,相比于MECM模型的平均预报精度分别提高了92.98%、66.30%、65.42%和63.99%.     

基于Vondrák滤波1阶差分灰色模型的卫星钟差预报方法

为了提高卫星钟差预报的精度,提出基于Vondrák滤波1阶差分的灰色模型算法.首先,对原始钟差数据序列采用Vondrák滤波处理后,得到1组新的钟差数据序列.然后,对相邻历元的钟差数据序列作1阶差分处理.最后,基于Vondrák滤波后的1阶差分的钟差差值数据序列,建立了GPS钟差预报的灰色模型.此外,采用了IGS(International Global Navigation Satellite System Service)公布的精密卫星钟差数据进行了预报试验,通过与卫星钟差预报中常用的2次多项式模型和直接采用原始钟差数据建立灰色预报模型预报结果的对比分析,结果表明:该方法可以对GPS卫星钟差进行高精度的中短期预报.在12 h、16 h、20 h和24 h的平均预报精度分别为0.50 ns、0.85 ns、1.08 ns和1.27 ns,相比于2次多项式模型的平均预报精度分别提高了24.24%、15.84%、12.90%和11.81%;相比于直接采用原始钟差数据建立灰色预报模型的平均预报精度分别提高了56.14%、49.40%、48.82%和47.80%.     

北斗广域增强系统星钟和星历误差改正算法研究

区域北斗星基增强系统提供等效钟差改正数统一修正星历和钟差误差。随着系统的建设发展,新一代北斗星基增强系统将区分星历和钟差误差改正信息,以提高差分改正精度。由于北斗卫星混合星座设计及区域监测网的局限,星历和钟差误差的高精度分离计算面临着新的挑战。对北斗星基增强系统的星历和钟差改正算法进行了研究,分别采用动力学和运动学模式计算了卫星星历和钟差改正数,并基于北斗实测数据,对两种处理模式的差分改正精度进行了对比研究。试验结果表明,采用动力学和运动学差分方法,得到的双频伪距实时定位精度分别为1.76m和1.78m,定位精度与WAAS及EGNOS相当。利用运动学和动力学差分改正数后均可得到分米级的精密单点定位(precise point position,PPP)结果,其中采用动力学广域差分改正数,收敛后定位精度可达到15cm;采用运动学广域差分改正数,收敛后定位精度可达45cm。     

基于小波分析和神经网络的卫星钟差预报性能分析

为了有效地进行卫星钟差预报和更好地反映卫星钟差特性,提出了一种基于小波分析和神经网络的4阶段混合模型来实现卫星钟差的预报,并给出了基于小波分析和径向基函数(Radial Basis Function,RBF)神经网络进行卫星钟差预报的基本思想、预报模型和实施步骤.采用"滑动窗"划分数据,利用神经网络预测小波分解和去噪后的钟差序列各层系数,更精确地把握钟差序列复杂细致的变化规律,从而更好地逼近钟差序列.为验证该混合预报模型的可行性和有效性,利用GPS卫星钟差数据进行钟差预报精度分析,并将其与灰色系统模型和神经网络模型进行比较分析.仿真结果显示,该模型具有较好的预报精度,可为实时GPS动态精密单点定位提供较高精度的卫星钟差.     

泛函网络在导航卫星钟差中长期预报中的应用

为了更好地反映导航卫星钟差特性以及提高导航卫星钟差中长期预报精度,在对卫星原子钟差预报建模时,除考虑卫星原子钟频移、频漂和频漂率等物理性质外,还考虑了卫星钟差的周期性变化和随机性等特点.在传统多项式预报模型基础上,采用泛函网络对卫星钟差的周期项和随机项部分进行建模,利用GPS导航卫星钟差数据进行预报实验,并与传统的多项式模型、灰色系统模型、差分自回归滑动平均(ARIMA)模型以及Kalman滤波方法的预报结果进行比对,结果表明,基于泛函网络建立的混合预报模型能有效减小导航卫星钟差的中长期预报误差.     

北斗星地双向时频传递与广广播钟差精度分析

与其他卫星导航系统不同,北斗卫星导航系统采用星地双向时间比对技术,直接测量卫星钟相对于地面保持的系统时间的钟差,并用于广播电文钟差参数的建模。讨论了电离层延迟误差、卫星相位中心误差等不同误差源对不同类型卫星双向时间同步卫星钟差精度的影响。实测数据分析结果表明,星地双向卫星钟差内符合精度(RMS)优于0.15 ns。利用双向卫星钟差序列,对广播星历钟差参数预报精度进行了分析,统计结果显示广播电文钟差参数预报1 h,精度在2 ns以内,移动卫星刚入境时,钟差参数预报6 h误差可达10 ns。     

基于ARMA模型的导航卫星钟差长期预报

卫星钟差长期可靠预报是实现卫星自主导航定轨所要解决的重要前提之一.针对多项式模型(PM)、灰色模型(GM)等常用的钟差预报方法存在的预报误差较大的情况,为了有效地进行卫星钟差预报和更好地反映卫星钟差变化特性,将ARMA(Auto-Regressive Moving Average)模型引入到卫星钟差预报中,利用IGS(International GNSS Service)提供的卫星钟差观测数据进行90 d的长期预报,根据各个卫星钟差的变化特性,对其进行模式识别、建模和预报,并与其它3种模型进行了较为细致的比较.计算结果表明,采用ARMA模型可以有效地提高卫星钟差的长期预报精度.     

附有周期项的预报模型及其在GPS卫星钟差预报中的应用研究

为了有效进行GPS卫星钟差预报和更好地反映卫星钟差特性,除了考虑卫星原子钟频移、频漂和频漂率等物理性质外,还应考虑到卫星钟差的周期性变化特点.在二次多项式模型基础上,增加了周期项因素,构造了新的预报模型.选取部分GPS卫星铯钟(Cs.clock)和铷钟(Rb.clock)钟差资料,根据钟差变化趋势分3种情况,按不同时间长度进行钟差预报分析,并与二次多项式模型的预报结果比较分析,大量数据分析表明:附有周期项的二次多项式模型预报精度优于二次多项式模型,铷钟预报精度略优于铯钟.     

卫星双向定时精度分析

介绍了Compass卫星双向定时的基本原理,在讨论双向定时计算模型的基础上,给出了考虑Sagnac效应项的详细计算模型,并计算了Sagnac效应项在几个代表性地区的影响,结果表明:对于距离中心站较远地区的用户,这种影响可达几十个纳秒。最后,对Compass卫星双向定时理论精度进行了分析,并采用几个地区的试验结果进行了验证。     

A Study on the Reliability of the Ionospheric VTEC and Satellite DCB Derived from a Regional GPS Network

According to the requirement of high-precision satellite navigation, we have introduced the method for the quasi-realtime monitoring of variations of the regional ionospheric total electron content (TEC) and GPS satellite differential code bias (DCB), based on the dual-frequency carrier-phase smoothed pseudorange data obtained from a regional GPS network in China. Especially, we have studied the feasibility of retrieving DCB independently from the regional GPS networks with different sizes. For this purpose, 3 regional networks based on the countrywide GPS stations are investigated. The comparisons of the computed DCB and VTEC(vertical total electron content) with those of CODE(the Center for Orbit Determination in Europe) indicate that in order to realize a reliable quasi-realtime measurement of DCB by a regional network, there is a certain requirement on the size of the regional network, and that the relative accuracies of the quasi-realtime VTEC and DCB measured by using a Chinese GPS regional network can reach 2.0TECu and 0.25 ns, respectively.     

Analysis of the wide area differential correction for BeiDou global satellite navigation system

The regional BeiDou Satellite System, or BDS2, broadcasts a differential correction as Equivalent Satellite Clock Correction to correct both orbit and satellite clock errors. For the global BDS, or BDS3, satellite orbit and clock corrections conforming with RTCA standards will be broadcast to authorized users. The hybrid constellation and regional monitoring network pose challenges for the high precision separation of orbit and satellite clock corrections. Three correction models of kinematic,dynamic and Two-way Satellite Time Frequency Transfer(TWSTFT)-based dynamic were studied to estimate the satellite orbit and clock corrections. The correction accuracy of the three models is compared and analyzed based on the BDS observation data. Results show that the accuracies(root mean square, RMS) of dual-frequency real-time positioning for the three models are about 1.76 m, 1.78 m and 2.08 m respectively, which are comparable with the performance of WAAS and EGNOS. With dynamic corrections, the precision of Precise Point Positioning(PPP) experiments may reach about 23 cm after convergence.     

Relativistic effects for near-earth satellite orbit determination

The relativistic formulations for the equations which describe the motion of a near-Earth satellite are compared for two commonly used coordinate reference systems (RS). The discussion describes the transformation between the solar system barycentric RS and both the non-inertial and inertial geocentric RSs. A relativistic correction for the Earth's geopotential expressed in the solar system barycentric RS and the effect of geodesic precession on the satellite orbit in the geocentric RS are derived in detail. The effect of the definition of coordinate time on scale is also examined. A long-arc solution using 3 years of laser range measurements of the motion of the Lageos satellite is used to demonstrate that the effects of relativity formulated in the geocentric RS and in the solar system barycentric RS are equivalent to a high degree of accuracy.     

The Performance Evaluation of BeiDou-3 System Time Based on CGGTTS

According to the Common GNSS Generic Time Transfer Standard Version2E (CGGTTS_V2E) developed by the GNSS (Global Navigation Satellite System) Working Group of the International Consultative Committee for Time and Frequency (CCTF), the data processing software is developed by using the pseudorange signal measured by the GNSS receiver, which is used to generate the CGGTTS files in the standard format, and its reliability is verified. The results show that, compared with the CGGTTS files generated by sbf2cggtts software, the offset between the GNSS system time and local time scale calculated by the same GPS and BDS satellite observations in the same epoch is identical, and the difference with the absolute value of the difference less than 0.5 ns accounts for 96% and 94% of the total, respectively. Taking Chinese standard time UTC(NTSC) (Coordinated Universal Time (National Time Service Center)) as the reference time scale, the data processing software is used to process the observations of the B1I and B3I dual-frequency ionospheric combination of BeiDou-2 and BeiDou-3 satellites, and generate the CGGTTS files in the standard format, and the performance of BeiDou system time is evaluated by analyzing the parameter of offset between the GNSS system time and local time scale. The results show that, compared with BeiDou-2, the internal precision of BeiDou-3 system time is increased by about 28%, and the frequency stability of medium and long-term is obviously better than BeiDou-2 after one day.     

基于CGGTTS的北斗3号系统时间性能评估

依据国际时间频率咨询委员会(Consultative Committee for Time and Frequency, CCTF) GNSS (Global Navigation Satellite System)时间比对工作组制定的时间传递标准(Common GNSS Generic Time Transfer Standard Version2E, CGGTTS_V2E), 针对GNSS接收机观测到的伪距信号开发了数据处理软件, 用于生成标准格式的CGGTTS文件, 并对其可靠性进行了验证. 结果表明, 与sbf2cggtts软件生成的CGGTTS文件相比, 在同一历元下, 分别利用相同GPS和BeiDou-2卫星观测值计算的星地钟差值基本一致, 互差绝对值不超过0.5ns的差值分别占总数的96%、94%. 以中国标准时间UTC(NTSC) (Coordinated Universal Time (National Time Service Center))为参考, 利用数据处理软件分别对BeiDou-2和BeiDou-3卫星的B1I和B3I双频消电离层组合观测值处理并生成标准格式的CGGTTS文件, 通过分析其星地钟差参数对BeiDou系统时间的性能进行评估. 结果表明, 与BeiDou-2相比, BeiDou-3系统时间的内符合精度提高约28%, 且1 d以上中长期频率稳定度明显优于BeiDou-2.     

利用卫星进行双向时间传递

介绍了利用卫星进行双向时间传递方法的原理（TWSTT），包括了电离层延时误差、卫星转发时延、接收机和发射机时延和相对论效应修正误差。作者使用昆明站和临潼站的观测数据进行处理。得到高精度的时间比对。     

Space correction of global models of electron number density in the ionosphere by receiving at one site signals from low-orbit satellites

A technique for updating global models of the electron density N in real time is developed. It employs the ionospheric part of the Doppler shift due to the rate of change of the total electron content determined at one site from measurements of signals from the radio beacons aboard low-orbit satellites. This technique enables corrections of the Chiu model over a region of about 1,000 km in a North-South direction. To study a possibility of predicting N in an East-West direction using the corrected model, we employ the measurements of satellite signals received at three sites spaced up to 2,000 km. For updating global N models, it is determined that spacing between correction sites can be up to about 3,000 to 4,000 km.     

Local Oscillator Distribution Using A Geostationary Satellite

A satellite communication system suitable for distribution of local oscillator reference signals for a widely spaced microwave array has been developed and tested experimentally. The system uses a round-trip correction method to remove effects of atmospheric fluctuations and radial motion of the satellite. This experiment was carried out using Telstar-5, a commercial Ku-band geostationary satellite. A typical Ku-band satellite has uplink and downlink capacity at 14–14.5 GHz and 11.7–12.2 GHz, respectively. For this initial experiment, both earth stations were located at the same site to facilitate direct comparison of the received signals. The local oscillator reference frequency was chosen to be 300 MHz and was sent as the difference between two Ku-band tones. The residual error after applying the round trip correction has been measured to be better than 3 ps for integration times ranging from 1 to 2000 s. For integration times greater than 500 s, the system outperforms a pair of hydrogen masers with the limitation believed to be ground-based equipment phase stability. The idea of distributing local oscillators using a geostationary satellite is not new; several researchers experimented with this technique in the eighties, but the achieved accuracy was 3 to 100 times worse than the present results. Since then, the cost of both leased satellite bandwidth and the Ku-band ground equipment has dropped substantially and the performance of various components has improved. An important factor is the availability of narrow bands which can be leased on a communications satellite. We lease three 100 kHz bands at approximately one hundredth the cost of a full 36 MHz-wide transponder. Further tests of the system using terminals separated by large distances and comparison tests with two hydrogen masers and radio interferometry of astronomical objects are needed.