Position Error Bound Calculation for GNSS using Measurement Residuals

In safety-of-life applications of satellite navigation, the protection level (PL) equation translates what is known about the pseudo-range errors into a reliable limit on the positioning error. The current PL equations for satellite-based augmentation systems (SBAS) rely on Gaussian statistics. This approach is very practical: the calculations are simple and the receiver computation load is small. However, when the true distributions are far from Gaussian, such a characterization forces an inflation of the PLs that degrades performance. This happens in particular with errors with heavy tail distributions or for which there is not enough data to evaluate the distribution density up to small quantiles. We present a way of computing the optimal protection level when the pseudo-range errors are characterized by a mixture of Gaussian modes. First, we show that this error characterization adds a new flexibility and helps account for heavy tails without losing the benefit of tight core distributions. Then, we state the positioning problem using a Bayesian approach. Finally, we apply this method to PL calculations for the wide area augmentation system (WAAS) using real data from WAAS receivers. The results are very promising: vertical PLs are reduced by 50% without degrading integrity.     

Sigma inflation for the local area augmentation of GPS

The Local Area Augmentation System (LAAS) is the differential satellite navigation architectural standard for civil aircraft precision approach and landing. While the system promises great practical benefit, a number of key technical challenges have been encountered in the definition of the architecture. Perhaps chief among these has been the need to ensure compliance with stringent requirements for navigation Integrity. In this context, this research investigates the sensitivity of integrity risk to statistical uncertainties in the knowledge of reference receiver error standard deviation (σ_{pr_gnd} ) and error correlation across the multiple reference receivers to be used in the LAAS ground segment. A new, detailed approach toward mitigating the integrity risk due to parameter statistical uncertainty is presented     

Sigma-mean monitoring for the local area augmentation of GPS

The local area augmentation system (LAAS) is a ground-based differential GPS system being developed to support aircraft precision approach and landing navigation with guaranteed integrity. To quantitatively appraise navigation integrity, an aircraft computes vertical and lateral protection levels using the standard deviation of pseudo-range correction errors, /spl sigma//sub pr/spl I.bar/gnd/, broadcast by the LAAS ground facility (LGF). Thus, one significant integrity risk is that the true standard deviation (sigma) of the pseudo-range correction error distribution may grow to exceed the broadcast correction error sigma or that the true mean of the correction error distribution becomes excessive during LAAS operation. This event may occur due to unexpected anomalies of GPS measurements. To insure that the true error distribution is bounded by a zero-mean Gaussian distribution with the broadcast sigma value, real-time sigma and mean monitoring is necessary. Both direct estimation and cumulative sum (CUSUM) methods are useful to detect violations with acceptable residual integrity risk. For sigma monitoring, the estimation method more rapidly detects small violations of /spl sigma//sub pr/spl I.bar/gnd/ but the fast initial response (FIR) CUSUM variant more promptly detects significant violations that would pose a larger threat to user integrity. For the purposes of mean monitoring, the FIR CUSUM variant is superior to the estimation method in detecting any mean violations. The results demonstrate that real-time protection is achievable against all sizes of sigma/mean failures that can threaten navigation integrity.     

不同尺度范围的监测网对星基增强服务性能的影响分析

区域监测站提供的星基增强完好性监测服务在民用航空等生命安全领域发挥着重要作用。为了分析利用不同尺度监测网估计的完好性信息对用户服务性能影响,使用等效钟差方法分别实现三种不同尺度的监测网完好性参数估计,并进行增强定位验证。从增强卫星数目、用户测距误差、定位精度和保护级包络特性方面研究不同尺度的监测网对用户服务性能评估的影响,结果表明:与小尺度和中等尺度区域相比,大尺度区域增强卫星数目分别增加了50.7%、33.7%。与广播星历伪距单点定位相比,基于小、中等和大尺度区域监测网估计的改正数增强定位在水平方向定位精度分别提升了33.08%、33.59%和32.54%,垂直方向定位精度分别提升了36.56%、41.07%和43.86%。三种尺度估计的平均用户测距误差均优于0.3 m,保护级水平对定位误差的包络均能达到95%。研究成果可为区域星基增强监测网的选择提供理论支撑和应用依据。     

GNSS双频导航信号用户完好性监测机制研究

用户完好性监测指标通常被用于衡量导航信息的可信度,针对单个卫星导航系统用户完好性监测指标过高、可用性较差的问题,提出一种全球导航卫星系统(GNSS)多系统双频信号联合完好性监测机制,该监测机制使用一定完好性风险分配值下的保护门限作为联合观测下的监测指标;另外,为了确保各种监测假设下的用户完好性,分别讨论了无故障及一颗卫星故障假设下的伪距观测误差获取、保护门限计算以及完好性风险指标分配等问题。仿真结果表明该用户监测机制可有效降低保护门限、提高可用性,在用于I类精密进近时全球大部分区域用户的可用性水平大于95%。     

Geodetic Methods for Calibration of GRACE and GOCE

It is beyond doubt that calibration and validation are essential tools in the process of reaching the goals of gravity missions like GRACE and GOCE and to obtain results of the highest possible quality. Both tools, although general and obvious instruments for any mission, have specific features for gravity missions. Therefore, it is necessary to define exactly what is expected (and what cannot be expected) from calibration and what from validation and how these tools should work in our case. The general calibration and validation schemes for GRACE and GOCE are outlined. Calibration will be linked directly to the instrument and the measurements whereas validation will be linked to data derived from the original measurements. Calibration includes on-ground, internal, and external calibration as well as error assessment. The calibration phase results in corrected measurements along with an a posteriori error model. Validation of e.g. calibrated measurements or geoid heights means checking against independent data to assess whether there are no systematic errors left and/or whether the error model describes the true error reasonably well. Geodetic methods for calibration typically refer to external calibration and error assessment, and will be illustrated with an example. This revised version was published online in August 2006 with corrections to the Cover Date.     

复杂载荷下偏心穿透裂纹应力强度因子的计算方法

提出了三维矩形平板内偏心穿透裂纹承受复杂非线性载荷下,仅含有3个系数的通用权函数。采用有限元法获得了三维矩形平板裂纹体模型下的3组参考应力强度因子,结合二元拉格朗日插值法获得了通用权函数系数。进行了自洽性验证以及裂纹面上承受简单3次、5次、7次、复杂幂函数应力分布和残余应力分布下通用权函数的验证。结果表明,通用权函数的自洽性误差在0.9%以内;裂纹面上承受复杂幂函数应力分布时,通用权函数法的误差在4.5%以内;裂纹面承受残余应力分布载荷时,通用权函数法的误差在8.5%以内。说明所提出的通用权函数具有较高的计算精度,可以满足工程中高效、准确地计算偏心穿透裂纹承受任意复杂非线性载荷下的应力强度因子需求。      

基于雷达航迹的航空器质量估算

为保障基于轨迹运行的顺利实施,必须提高四维航迹预测的精度,而四维航迹的精准预测依赖于航空器质量准确估算。鉴于此,构建并分析了航空器能量模型;基于雷达航迹与航空器基础资料( BADA),提出了新型的航空器质量估算方法与步骤;利用最小二乘算法求解了航空器质量的估计值;分别基于预测航迹、雷达轨迹与QAR数据,采用相对误差作为评价指标,实施验证与分析。验证结果表明,提出的方法可将航空器质量估算误差控制在5%以内,从而能够有效地提高航迹预测精度。     

A novel LAAS pseudo-range error over-bound method based on improved pseudo-range error distribution model

The high level of safety demand of civil aviation requests local area augmentation system (LAAS) extremely high navigation integrity performance. A new LAAS pseudo-range error overbound method is proposed in this paper to improve the integrity of LAAS. Firstly, a more practical pseudo-range error distribution model is established. Then, by calculating the relationship between the statistical uncertainty of the model parameter and the integrity risk, a new method is proposed to calculate the pseudo-range error over-bound model. This method can effectively reduce the inflation factor and the resulting conservativeness of the over-bound model. Comparative experiments show that the method proposed in this paper performs better and satisfies the requirements of real applications.     

An adaptive sequential experiment design method for model validation

Efficient experiment design is of great significance for the validation of simulation model with high nonlinearity and large input space. Excessive validation experiment raises the cost while insufficient test increases the risks of accepting an invalid model. In this paper, an adaptive sequential experiment design method combining global exploration criterion and local exploitation criterion is proposed. The exploration criterion utilizes discrepancy metric to improve the space-filling property of the design points while the exploitation criterion employs the leave one out error to discover informative points. To avoid the clustering of samples in the local region, an adaptive weight updating approach is provided to maintain the balance between exploration and exploitation. Besides, the credibility distribution function characterizing the relationship between the input and result credibility is introduced to support the model validation experiment design. Finally, six benchmark problems and an engineering case are applied to examine the performance of the proposed method. The experiments indicate that the proposed method achieves satisfactory performance for function approximation in accuracy and convergence.     

三维并联式TBCC发动机排气系统设计与实验

为实现三维并联式TBCC排气系统的设计,利用基于二维最大推力理论的密切法设计了圆转矩变截面非对称冲压发动机喷管,并在冲压发动机喷管上壁面为三维曲面的条件下,利用转动加滑动共用面的调节方式实现了涡喷发动机喷管的内型面设计及其喉道面积的调节,从而完成了排气系统设计。随后对设计结果进行了冷流实验验证。结果表明,这种排气系统设计方法具有可行性。在冲压单独工作状态,壁面压力分布的数值计算与实验结果吻合较好,相对方均根偏差低于10.8%;在涡喷单独工作状态及共同工作状态,上壁面压力在激波附面层干扰区域内偏差较大,最大相对偏差可达30.6%。但壁面压力分布的数值计算与实验结果的整体变化趋势一致。      

Receiver autonomous integrity monitoring (RAIM) capability forsole-means GPS navigation in the oceanic phase of flight

Receiver autonomous integrity monitoring (RAIM), a GPS integrity monitoring scheme that uses redundant ranging signals to detect a satellite malfunction that results in a large range error, involves two functions: detection of the presence of a malfunctioning satellite and identification of which satellite (or satellites) is malfunctioning. An analysis is presented of GPS RAIM capability for sole-means navigation in the oceanic phase of flight, where the position protection limit requirement for the integrity function is not as stringent as for nonprecision approaches, and yet both detection and identification function may be required if GPS is to be used as a sole-means system. For this purpose, a detection and identification algorithm is developed which takes advantage of the fact that for the oceanic phase of flight, a much larger position error is acceptable than for the nonprecision approach phase of flight. The performance of this algorithm and an algorithm proposed previously by others is estimated via simulation and compared. On the basis of the results, recommendations are made on how RAIM may be used if GPS is to be coupled with an inertial system to provide a sole-means capability in the oceanic phase of flight     

Formulation of a time-varying maximum allowable error for ground-based augmentation systems

Ground-based augmentation systems (GBAS), such as the federal aviation administration's local area augmentation system (LAAS), protect GPS users against signal anomalies by monitoring for rare satellite faults. This paper introduces a new, time-varying MERR (maximum-allowable error in range) formulation that enables proof of integrity for ground-based fault monitoring. The time-varying MERR supersedes earlier MERR methods which relied on a static integrity test. The utility of these earlier methods was limited in that they neglected GBAS time-to-alert (TTA) requirements and restricted the choice of the monitor filter, requiring its impulse response to match that of the user ranging-error filter. By contrast, the time-varying MERR explicitly incorporates TTA and places no restrictions on monitor filter design. These attributes are critical for correctly evaluating system integrity and for crediting the integrity benefits of GBAS systems with aggressive filter designs and process timing.     

考虑数值离散误差的湍流模型选择引入的不确定度量化

在流体力学数值模拟过程中存在着多种来源的不确定因素,科学、定量地描述这些因素对模拟结果的影响对模型确认、工业产品设计优化和性能评估等过程十分重要。数值离散、模型选择和模型预测偏差是模拟过程中3种重要的不确定性来源,为将这3种不确定性因素对模拟目标量的影响统一考虑,发展了考虑数值离散误差的贝叶斯模型平均方法。首先,通过对数值离散解和网格尺度进行拟合完成数值离散误差估计,得到每个备选模型真实解的置信区间。然后,通过嵌套方法和条件优化算法,结合贝叶斯模型平均方法构建目标量的概率盒,定义目标变量累积分布函数的上、下限,以此分析其置信区间。最后,针对NACA0012低速绕流和CHN-T1跨声速绕流问题,给出了同时考虑上述3种不确定性因素之后升、阻力系数的置信区间分析示例。     

Estimation Using Stochastic Feedback with Applications to Integrated Navigation Systems

This paper discusses an approach to linear estimation through use of a "control" fed back into the system to cancel out the effect of disturbances or error signals. Although this approach has very restricted application, it has found important usage in integrated navigation systems where one subsystem is an inertial measurement system. This approach is shown to be suboptimal and is compared with the optimal with respect to estimation accuracy and sensitivity to modeling errors. The feedback approach to estimation is shown to be similar to error estimation and correction in which the error states of the system are estimated and external correction applied. For discrete estimation using the feedback approach it is shown that error variance and Kalman gains for one-stage prediction should be used. Two examples are considered which compare the feedback approach to the optimum estimation approach. The system of the first example is quite simple, but provides simple analytical comparisons of the two estimation approaches. The second example system consists of a single-axis inertial guidance system and an independent position measuring system. Accuracy and sensitivity to modeling errors are compared. Other advantages and disadvantages of the two estimation approaches are discussed.     

Communicating processes in designing asynchronous circuits

Asynchronous circuits are circuits that operate without a common global clock. They are potentially suitable for low-power devices. This paper describes an approach to verify speed-independent asynchronous circuits by using a protocol validation tool     

基于概率极限状态的RAIM风险评估

为了提供准确可靠的完好性服务,提出了基于概率极限状态的RAIM完好性风险评估。考虑所需导航性能参数和噪声的因素,建立了安全系数与可靠系数相结合的完好性风险评估指标体系,确立风险评价准则。非精密进近的算例分析表明,系统评估方法是可行的且有效的。     

双频双星座地基增强系统精度和完好性算法

针对单频单星座地基增强系统（GBAS）无法满足飞机III类精密进近与着陆导航性能需求的问题，提出了将北斗导航卫星系统（BDS）与全球定位系统（GPS）进行融合，构建一种新型的基于GPS/BDS的双频双星座GBAS。首先，分析了GBAS的工作原理，并对Hatch滤波器的误差进行了分析，给出了一种适用于双频GBAS的无码载偏离载波相位平滑伪距算法；然后，对机载完好性算法进行了研究，给出了H0和H1假设下的机载保护级计算方法；最后，进行了系统验证实验，实验结果表明，单星座GBAS不能满足飞机III类精密进近与着陆导航的性能需求，GPS和BDS融合后可见卫星个数得到提升，优化了卫星几何分布，进而使得系统的可用性由80.6081%提升到大于99.9999%。     

Geometrical entropy approach for variable structure multiple-model estimation

The variable structure multiple-model(VSMM) estimation approach, one of the multiple-model(MM) estimation approaches, is popular in handling state estimation problems with mode uncertainties.In the VSMM algorithms, the model sequence set adaptation(MSA) plays a key role.The MSA methods are challenged in both theory and practice for the target modes and the real observation error distributions are usually uncertain in practice.In this paper, a geometrical entropy(GE) measure is proposed so that the MSA is achieved on the minimum geometrical entropy(MGE) principle.Consequently, the minimum geometrical entropy multiple-model(MGEMM) framework is proposed, and two suboptimal algorithms, the particle filter k-means minimum geometrical entropy multiple-model algorithm(PF-KMGEMM) as well as the particle filter adaptive minimum geometrical entropy multiple-model algorithm(PF-AMGEMM), are established for practical applications.The proposed algorithms are tested in three groups of maneuvering target tracking scenarios with mode and observation error distribution uncertainties.Numerical simulations have demonstrated that compared to several existing algorithms, the MGE-based algorithms can achieve more robust and accurate estimation results when the real observation error is inconsistent with a priori.     

解决欧拉方程奇异性的方法探讨

提出了一种解决欧拉方程奇异性的工程算法,从飞行器运动方程入手,推导出具体计算公式,并进行了数值计算验证。该方法无论是理论分析还是工程计算都证明是可行的,没有发现原理缺陷和方法误差,不会产生奇异性,在飞行器仿真、模拟和姿态控制中具有普遍的应用和参考价值。