星载GPS接收机RAIM算法性能及参数影响分析

为提高星载GPS接收机的故障鉴别与故障隔离能力,研究了星载接收机自主完好性监测(RAIM)算法的性能,以及参数选取对性能的影响;给出了RAIM算法的可用性及RAIM算法应用的可靠性衡量指标,并推导了内、外灵敏度的计算方法。设计了2种适合于高动态在轨应用环境的参数场景,并基于这2种场景,利用在轨数据分析了性能之间的相互制约关系及不同参数对性能的影响。仿真结果表明:若定位告警门限取300m,可以保证90%的RAIM算法可用性;对于20m的测量误差,能够保证80%的检测概率。将不同性能与先验参数的影响关系具体化,可为不同环境、背景下RAIM算法在工程应用中的参数选取及性能评估提供参考。     

用于识别双星故障的RAIM算法

由于传统的基于识别门限的卫星故障识别算法存在漏检和误警致使识别率较低,为此提出一种可用于识别双星故障的接收机自主完好性监测算法.该算法通过构造新的奇偶矢量与故障特征平面,利用奇偶矢量与故障特征平面之间的几何关系来识别卫星故障,使得算法不再受限于识别门限的影响,从而有效地避免了由于识别门限引起的识别效率较低的问题.计算机仿真结果表明:改进后的算法与传统的基于识别门限的算法相比,双星故障正确识别的性能有显著的提高,正确识别率可达到90%.同时,与基于门限识别的重构最优奇偶矢量法相比,计算量可减少约61.2%以上.     

全球导航卫星系统多星故障排除新方法

在全球导航卫星系统中,多颗卫星同时发生故障的概率会随着观测卫星数的增加而增加,从而,在接收机自主完好性监测中需考虑多星故障的处理.针对故障检测比故障排除简单、且故障检测率比故障排除率高的特征,以故障检测为基础,提出了一种新的多星故障排除方法——随机搜索法.该方法采用二进制对观测卫星进行编码,通过随机初始化方式获得初始无故障星座,再通过逐步搜索未选卫星方式来得到最终的含有最多无故障卫星的星座,实现故障排除功能.仿真结果表明:大部分情形下,新方法能获得99%以上的故障排除率,既能进行单星故障排除,也能进行多星故障排除,能有效满足全球导航卫星系统关于自主完好性的要求.      

GNSS中基于双星故障的RAIM中的数学关系

从理论上推导全球导航卫星系统(GNSS)中基于双星故障的接收机自主完好性监测(RAIM)中的两个基本定理,为基于双星故障的RAIM技术提供了理论支撑。第一个定理给出了RAIM中奇偶矢量与导航误差的关系,指出了两者的统计独立性,它表明只能通过多次测量的累积以统计方法得到导航定位精度;第二个定理指出可通过偏差修正方式得到正确的导航解。这两个结论与单星故障假设条件下得到的结论是相同的,这就表明,基于单星故障假设的RAIM方法,其基本原理是可以通用于双星以至于多星故障情形的,只需在具体操作上进行适应性改进。另外,推导方法本身也提供了一种进行GNSS分析的有力工具。     

用于识别两颗故障卫星的RAIM算法

提出了一种可以识别两颗故障卫星的接收机自主完好性监测算法.将最优奇偶矢量法应用于两颗故障卫星识别,指出由于故障偏差可能会抵消而使得正确识别率较低.对最优奇偶矢量法进行了改进,利用对单颗卫星故障敏感的最优奇偶矢量对所有可能的两颗故障卫星组合分别构造两个新的奇偶矢量,用于两颗故障卫星的检测和识别.计算机仿真结果显示,改进后的算法与直接利用最优奇偶矢量法相比,可以显著提高两颗故障卫星正确识别率,识别率可超过90%.同时,改进算法的奇偶矢量构造方法简单,计算量将减少90%以上,更有利于工程实现.      

Satellite selection methods for multi-constellation advanced RAIM

The increased number of potential threat modes under multi-constellation advanced receiver autonomy integrity monitoring (ARAIM) requires an increase in the number of subsets and a correspondingly high computational load. A new satellite selection method based on integrity support message (ISM) parameters is proposed and compared with GDOP-based selection. The performance was tested on five days of data measurements from 21 multi-global navigation satellite system experiment (MGEX) stations distributed around the world, as well as simulation using the broadcast ephemeris. The results show that the proposed ISM-based satellite selection method is highly compatible with the baseline ARAIM. This method could reduce the computational times by about 60–70% quickly, with minimising vertical protection level (VPL) loss, which was consistently within 1 m, even a reduced VPL value in some epochs, and resulting in an improved availability. The simulation results were similar to the MGEX data. It appears that the application of ISM-based satellite selection can effectively reduce computational burden with a minimal impact on availability.     

An enhanced least squares residual RAIM algorithm based on optimal decentralized factor

The Least Squares Residual (LSR) algorithm is commonly used in the Receiver Autonomous Integrity Monitoring (RAIM). However, LSR algorithm presents high Missed Detection Risk (MDR) caused by a large-slope faulty satellite and high False Alert Risk (FAR) caused by a small-slope faulty satellite. In this paper, the LSR algorithm is improved to reduce the MDR for a large-slope faulty satellite and the FAR for a small-slope faulty satellite. Based on the analysis of the vertical critical slope, the optimal decentralized factor is defined and the optimal test statistic is conceived, which can minimize the FAR with the premise that the MDR does not exceed its allowable value of all three directions. To construct a new test statistic approximating to the optimal test statistic, the Optimal Decentralized Factor weighted LSR (ODF-LSR) algorithm is proposed. The new test statistic maintains the sum of pseudo-range residual squares, but the specific pseudo-range residual is weighted with a parameter related to the optimal decentralized factor. The new test statistic has the same decentralized parameter with the optimal test statistic when single faulty satellite exists, and the difference between the expectation of the new test statistic and the optimal test statistic is the minimum when no faulty satellite exists. The performance of the ODF-LSR algorithm is demonstrated by simulation experiments.     

卫星自主完好性监视算法研究

民用航空对导航系统的完好性具有严格的要求。随着卫星导航系统在飞机上的广泛应用,GPS接收机自主完好性监视越来越受重视。针对GPS接收机自主完好性监视算法进行了研究。在对RAIM判定原则及流程、基于最小二乘的故障检测算法和完好性要求下的可用性判断研究的基础上,通过仿真对所研究的算法进行相关的分析,结果表明,作为目前一种仅依靠接收机自身获取定位观测量进行监控的方法, RAIM算法在一定程度上增强了定位结果的可信性,满足了自主完好性监视的要求。     

多系统卫星导航接收机自主完好性监测

针对多系统卫星导航接收机自主完好性监测的现实需要,在传统的奇偶矢量法的基础上提出一种新的基于加权奇偶矢量法的自主完好性监测算法。加权奇偶矢量法克服了不同系统间由于测距均方根误差不同造成的RAIM算法性能下降,算法综合考虑各系统间测距均方根误差不同的实际情况,对测距误差进行归一化处理,大大提高了多系统卫星导航接收机RAIM算法对测距均方根误差较小卫星的敏感度。经过Monte-Carlo仿真证明,算法能有效抑制系统虚警和漏检情况的发生。     

用户自主完好性监测新算法

基于测量域提出了新的导航系统完好性度量算法。充分考虑所需导航性能参数和不确定的噪声的因素,运用概率优化方法进行故障监测。选择适当的性能参数,与漏检率具有一一映射关系,估算故障概率,并对此进行了讨论。在该算法中,利用残差灵敏度矩阵的各个特点提高识别有误差观测数据的效率。该算法可用于完好性监测的性能要求规定,计算高效。非精密进近的仿真结果证明了该算法的有效性。