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GNSS Satellite Fault Detection and Exclusion for Integrated GNSS/INS Systems GNSS/INS集成系统的GNSS卫星故障检测与排除
Pub Date : 2023-10-05 DOI: 10.33012/2023.19448
Birendra Kujur, Samer Khanafseh, Boris Pervan
In this work, we present a Global Navigation Satellite Systems (GNSS) satellite fault detection, identification, and exclusion method for an integrated GNSS/Inertial Navigation System (INS) tightly-coupled navigation architecture. Observed satellite fault profiles and magnitudes are taken as a baseline to design the monitor. Normalized innovations for each satellite are utilized to observe the respective satellite faults on each channel. A sufficient test statistic for each satellite channel is derived using the generalized likelihood ratio test (GLRT). We develop a method for quantifying missed detection rates given fault profile and magnitude. This developed methodology is capable of providing protection levels using the INS-only coasting solution. We also describe an identification and exclusion method using consecutive windows of the monitor without the need for running parallel Kalman filters (KF). We validate the developed algorithm for the detection, identification and exclusion of faulty satellites using simulated fault scenarios.
在这项工作中,我们提出了一种全球导航卫星系统(GNSS)卫星故障检测、识别和排除方法,用于集成GNSS/惯性导航系统(INS)紧密耦合的导航体系结构。以观测到的卫星断层剖面和震级为基准设计监测仪。利用每个卫星的归一化创新来观测每个信道上各自的卫星故障。利用广义似然比检验(GLRT)导出了每个卫星信道的充分检验统计量。我们开发了一种方法来量化漏检率给定的断层轮廓和震级。这种开发的方法能够提供仅使用ins的滑行解决方案的保护级别。我们还描述了一种识别和排除方法,该方法使用监视器的连续窗口,而无需运行并行卡尔曼滤波器(KF)。我们通过模拟故障场景验证了开发的检测、识别和排除故障卫星的算法。
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引用次数: 0
A Calibration Algorithm of Ultra-rapid Orbit Boundary Discontinuity based on Adaptive Orbital Arc Length 基于自适应轨道弧长的超快速轨道边界不连续标定算法
Pub Date : 2023-10-05 DOI: 10.33012/2023.19185
Lin Zhao, Xitie Lu, Hui Li, Renlong Wang, Ziheng Gao
The precise ultra-rapid orbit is a prerequisite to providing accurate Positioning, Navigation and Timing (PNT) service. There are the orbit boundary discontinuities (OBDs) in adjacent ultra-rapid orbits. The OBD will decrease the accuracy of the positioning service at the orbit boundary. The traditional time-weighted calibration algorithm based on the fixed orbital arc length depends on the broadcast latter orbit, which cannot meet the requirement of the real-time application. By assigning the weights of overlapping orbits according to time, an adaptive calibration algorithm is proposed to correct the latter orbit. The evaluation results have shown that the OBD calibration accuracy and the orbit accuracy loss are improved 12.27% and 9.87%, respectively. The OBD verification results have shown that the PPP accuracy at the boundary is improved 5%. It is confirmed that the OBD can be improved effectively based on the adaptive calibration algorithm, which can be applied for the real-time PPP.
精确的超高速轨道是提供精确定位、导航和授时服务的先决条件。在相邻的超高速轨道上存在轨道边界不连续(OBDs)。OBD会降低轨道边界定位服务的精度。传统的基于固定轨道弧长的时间加权定标算法依赖于广播后轨,不能满足实时性应用的要求。通过对重叠轨道按时间分配权重,提出了一种自适应校正算法,对重叠轨道进行校正。评价结果表明,改进后的OBD定标精度和轨道精度损失分别提高了12.27%和9.87%。OBD验证结果表明,边界处PPP精度提高了5%。验证了基于自适应标定算法的OBD能得到有效改进,可应用于实时PPP。
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引用次数: 0
Early Artemis Surface Navigation: Challenges, Approaches, and Opportunities 早期阿尔忒弥斯水面导航:挑战、方法和机遇
Pub Date : 2023-10-05 DOI: 10.33012/2023.19274
Evan Anzalone, Lemuel Carpenter, Cheryl Gramling, Laurie Mann, Thomas Moody
The early Artemis missions represent the return of humanity to the surface of the Moon and provide opportunities for meeting early science and exploration goals. Position, Navigation, and Timing (PNT) capabilities are a fundamental element and inform operational design, flight rules, and the ability to meet these. This paper provides an overview of the needs, potential implementations, challenges, and concepts of operations in the initial human surface missions, Artemis III and IV. These early excursions are a crucial learning opportunity to gain more experience in the actual operational environment for Artemis V and beyond where exploration objectives and complexity increases. As part of the study, the team defined a threshold performance navigation requirement (including position and orientation) to meet crew safe return and assessed a breadth of navigation approaches that could be deployed to augment the crew’s baseline navigation capability. Data was collected in terms of size, mass, power, operational constraints, environment constraints, interface, and performance to define the technical metrics. Given these, the trade team conducted polling among the various Artemis Campaign elements to capture preference, integration challenges, and operational impacts. These were used to develop weightings and inform a ranked order of solutions across each of the early missions. The results of the study recommended augmenting the initial orientation capability with additional navigation sensors to provide coarse position and heading information to the crew to enable a safe contingency walk-back when out of video range. The team identified opportunities for embedding this hardware in future scenarios to provide an integrated solution. With the deployment of the LunaNet’s Lunar Augmented Navigation System, the crew will be able to maintain accurate real-time navigation knowledge with minimal physical impacts. Discussion of future testing and continued analysis is included in this paper. These forward plans and long-term architecture systems will enable a powerful navigation approach for orbiting and surface users, enabling a high level of scientific return and crew safety.
早期的阿尔忒弥斯任务代表了人类重返月球表面,并为实现早期的科学和探索目标提供了机会。定位、导航和授时(PNT)能力是一个基本要素,为作战设计、飞行规则和满足这些要求的能力提供信息。本文概述了最初的人类表面任务,阿尔忒弥斯III和IV的需求、潜在实现、挑战和操作概念。这些早期的短途旅行是一个重要的学习机会,可以在阿尔忒弥斯V的实际操作环境中获得更多的经验,并且在探索目标和复杂性增加的情况下。作为研究的一部分,该团队定义了一个阈值性能导航要求(包括位置和方向),以满足机组人员的安全返回,并评估了可部署的导航方法的广度,以增强机组人员的基线导航能力。根据尺寸、质量、功率、操作约束、环境约束、接口和性能收集数据,以定义技术指标。考虑到这些,贸易团队对各种Artemis Campaign元素进行了民意调查,以获取偏好、整合挑战和操作影响。这些数据被用来制定权重,并为每个早期任务的解决方案排序。研究结果建议使用额外的导航传感器来增强初始定位能力,为机组人员提供粗略的位置和航向信息,以便在超出视频范围时安全返回。该团队确定了在未来场景中嵌入该硬件以提供集成解决方案的机会。随着LunaNet的月球增强导航系统的部署,机组人员将能够在最小的物理影响下保持准确的实时导航知识。本文还讨论了今后的测试和继续分析。这些前瞻性计划和长期架构系统将为轨道和地面用户提供强大的导航方法,从而实现高水平的科学返回和机组人员安全。
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引用次数: 0
Novel Replay Attacks Against Galileo Open Service Navigation Message Authentication 针对伽利略开放服务导航报文认证的新型重放攻击
Pub Date : 2023-10-05 DOI: 10.33012/2023.19397
Haiyang Wang, Yuanyu Zhang, Yulong Shen, Jinxiao Zhu, Yin Chen, Xiaohong Jiang
Open Service Navigation Message Authentication (OSNMA) serves as a critical security mechanism for the Galileo global navigation satellite system. At the core of OSNMA is a Timed Efficient Stream Loss-tolerant Authentication (TESLA) scheme, which generates a tag for each navigation message using a secret key and later discloses the key to receivers for authenticating the message-tag pair. Despite its great effectiveness against spoofing attacks, OSNMA’s ability to resist replay attacks is questionable since the replayed signals containing authentic messages and tags may bypass the authentication under certain circumstances. This paper, for the first time, reveals two serious vulnerabilities of OSNMA: time synchronization (TS) and non-continuous message authentication (NCMA). TS is a mandatory requirement that specifies that the difference between a receiver’s local reference time and the Galileo System Time (GST) extracted from Galileo signals does not exceed a given threshold. Exploiting this vulnerability, we propose a pre-startup replay (PreRep) attack, where Galileo signals are continuously recorded and replayed to a victim receiver before it starts up such that the TS requirement is satisfied and the receiver is locked to the replayed signals. NCMA means that OSNMA temporarily suspends the authentication process probably due to the reception of a broken message, tag or key, and restores the authentication after receiving a later-disclosed valid message-tag-key pair. Based on this vulnerability, we propose a post-startup replay (PosRep) attack, which conducts the replay attack after the victim receiver starts up such that the replayed signals break the currently receiving message-tag-key pair, deliberately suspending the authentication process, while subsequently-replayed signals can pass the authentication successfully as the message-tag-key pairs inside are valid. Finally, we conducted extensive experiments based on real-world OSNMA-integrated receivers and two software-defined radio (SDR) devices to demonstrate the feasibility of the proposed attacks.
开放服务导航报文认证(OSNMA)是伽利略全球卫星导航系统的关键安全机制。OSNMA的核心是一个定时高效流容错认证(TESLA)方案,它使用一个密钥为每个导航消息生成一个标签,然后将密钥公开给接收方,用于对消息-标签对进行身份验证。尽管OSNMA对欺骗攻击非常有效,但它抵抗重放攻击的能力值得怀疑,因为在某些情况下,包含真实消息和标签的重放信号可能会绕过身份验证。本文首次揭示了OSNMA的两个严重漏洞:时间同步(TS)和非连续消息认证(NCMA)。TS是一项强制性要求,它指定接收器的本地参考时间与从伽利略信号中提取的伽利略系统时间(GST)之间的差异不超过给定的阈值。利用这个漏洞,我们提出了一种启动前重放(preep)攻击,其中伽利略信号在启动之前被连续记录并重放给受害者接收器,从而满足TS要求,接收器被锁定到重放的信号。NCMA意味着OSNMA可能由于接收到损坏的消息、标签或密钥而暂时暂停身份验证过程,并在接收到稍后公开的有效消息-标签-密钥对后恢复身份验证。基于此漏洞,我们提出一种启动后重放(post-startup replay, PosRep)攻击,即在受害接收方启动后进行重放攻击,重放信号破坏当前接收的消息标签密钥对,故意暂停认证过程,而随后重放的信号由于内部的消息标签密钥对是有效的,可以成功通过认证。最后,我们在真实世界的集成了osnma的接收器和两个软件定义无线电(SDR)设备上进行了广泛的实验,以证明所提出攻击的可行性。
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引用次数: 0
Enhancing Global PPP Service Reliability with Hemisphere Atlas® and Galileo HAS: A Dual Redundant Approach 利用Hemisphere Atlas®和Galileo HAS增强全球PPP服务可靠性:双重冗余方法
Pub Date : 2023-10-05 DOI: 10.33012/2023.19441
Jianping Chen, Viet Duong, Alim Kanji
Precise Point Positioning (PPP) is a technique that provides high global accuracy without the need for nearby reference stations. The approach, at minimum, requires GNSS satellite orbit and clock errors generated from globally distributed reference stations to achieve high accuracy. End users can then utilize either an ionosphere-free linear combination to eliminate the first order of ionosphere delays or an undifferenced and uncombined model to estimate ionosphere delays. Hemisphere Atlas is an innovative global L-band service from Hemisphere GNSS, which has global coverage. The Galileo High Accuracy service (HAS) is a free service provided by the European Union with Interface Control Document (ICD) published in May 2022. The HAS will have two service levels: Service Level 1 with global coverage orbits, clocks, and code biases, and Service Level 2 with regional coverage of atmospheric corrections. Initial assessments of Service Level 1 have already shown that it meets expectations around the world. Atlas H10 has a 95% accuracy of 8cm, and Galileo HAS achieves a 95% accuracy of 20cm. Therefore, Galileo HAS can be an excellent backup to Atlas in case of service outage or severe interference on the L-Band frequency of Atlas. In this article, Atlas and HAS global performance will first be introduced. Next, we will present their actual performance metrics from five different locations spanning five continents, and subsequently provide insights into the switching logic. Lastly, a patent-pending dual redundant service using Hemisphere Atlas and Galileo HAS will be introduced, with higher priority given to Atlas.
精确点定位(PPP)是一种不需要附近参考站就能提供高全球精度的技术。该方法至少需要GNSS卫星轨道和全球分布参考站产生的时钟误差来实现高精度。最终用户可以利用无电离层线性组合来消除一阶电离层延迟,或者利用无差分和未组合模型来估计电离层延迟。半球地图集(Hemisphere Atlas)是全球覆盖的半球全球导航卫星系统(Hemisphere GNSS)的一项创新全球l波段服务。伽利略高精度服务(HAS)是欧盟于2022年5月发布的接口控制文件(ICD)提供的免费服务。HAS将有两个服务级别:服务级别1覆盖全球轨道、时钟和代码偏差,服务级别2覆盖大气校正的区域。对服务级别1的初步评估已经表明,它符合世界各地的期望。阿特拉斯H10 95%精度为8厘米,伽利略has达到95%精度为20厘米。因此,在服务中断或Atlas l波段频率受到严重干扰的情况下,Galileo HAS可以作为Atlas的优秀备份。在本文中,将首先介绍Atlas和HAS的全局性能。接下来,我们将展示他们在跨越五大洲的五个不同地点的实际性能指标,并随后提供对切换逻辑的见解。最后,将引入一项正在申请专利的双冗余服务,该服务将使用半球地图集和伽利略系统,并给予地图集更高的优先级。
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引用次数: 0
Tuti: An Advanced GNSS-Based Repeater for Seamless Indoor/Outdoor Positioning Tuti:一种先进的基于gnss的室内/室外无缝定位中继器
Pub Date : 2023-10-05 DOI: 10.33012/2023.19408
Amir Tabatabaei
This paper addresses the limitations of using global navigation satellite systems (GNSS) for positioning in indoor environments, which can experience signal attenuation and blockage from walls. Although there are various indoor positioning techniques available, they typically require additional hardware and cannot provide seamless navigation between indoor and outdoor environments. To overcome these limitations, this paper introduces Tuti, a GNSS-based advanced repeater designed and developed by IGASPIN GmbH. For this purpose, the desired indoor area is virtually divided into small zones, each covered by a directional antenna that transmits Tuti's GNSS signals. This leads the user's calculated position to the approximate actual coordinate in that zone. Tuti's signals are precisely synchronized with GNSS satellites, enabling seamless indoor/outdoor navigation and smooth tracking during the user's transitions between coverage zones. The test results reported in this paper demonstrate how Tuti can provide low-cost indoor positioning with accuracy comparable to outdoor positioning without requiring extra hardware or assistance from the user. Furthermore, it will be discussed that Tuti's capabilities are not limited to indoor applications, such as the transition of cars from the production line in the factory to outside parking slots but also can enhance positioning accuracy in areas with limited visibility to the sky, such as mountainous regions.
本文讨论了在室内环境中使用全球导航卫星系统(GNSS)进行定位的局限性,这些环境可能会经历信号衰减和墙壁阻塞。虽然有各种各样的室内定位技术可用,但它们通常需要额外的硬件,并且不能在室内和室外环境之间提供无缝导航。为了克服这些限制,本文介绍了IGASPIN公司设计和开发的基于gnss的高级中继器Tuti。为此,所需的室内区域实际上被划分为小区域,每个区域都有一个定向天线覆盖,该天线传输图蒂的GNSS信号。这将导致用户的计算位置接近该区域的实际坐标。Tuti的信号与GNSS卫星精确同步,实现无缝的室内/室外导航和用户在覆盖区域之间转换期间的平滑跟踪。本文报告的测试结果表明,Tuti可以提供低成本的室内定位,其精度与室外定位相当,而无需额外的硬件或用户的帮助。此外,还将讨论Tuti的功能不仅限于室内应用,例如将汽车从工厂的生产线转移到室外的停车位,而且还可以提高在天空能见度有限的地区(例如山区)的定位精度。
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引用次数: 0
Jammer on the Horizon: A Robust Method for GPS Jammer Localization Using ADS-B Data 地平线上的干扰器:利用ADS-B数据进行GPS干扰器定位的鲁棒方法
Pub Date : 2023-10-05 DOI: 10.33012/2023.19393
Matthias Schäfer, Steve Sõeruer, Taavi Kippak, Erkki Sadrak
GPS jamming has emerged as a significant threat, with ramifications extending across various sectors, especially in the realm of air traffic surveillance. This paper delves into the synergistic application of ADS-B data as a tool for the detection of large-scale GPS jamming attacks. By tapping into this resource, we demonstrate a system that continuously and promptly detects these threats over expansive regions. Analyzing data from our European network segment over a one-year period, we offer an in-depth characterization of the detected interference. In addition, we propose a novel method for locating the source of the interference under circumstances where existing methods fail. More specifically, existing methods are inadequate when the jammed area is not fully covered or air traffic is sparse. Addressing these gaps, we introduce a novel localization method that uses the ADS-B-based observations to reconstruct the GPS jammer’s radio horizon and then uses this information to determine its location.
GPS干扰已经成为一个重大威胁,其影响延伸到各个领域,特别是在空中交通监视领域。本文深入研究了ADS-B数据作为大规模GPS干扰攻击检测工具的协同应用。通过利用这一资源,我们展示了一个系统,该系统可以在广阔的区域内持续迅速地检测到这些威胁。通过分析欧洲网络段一年来的数据,我们对检测到的干扰进行了深入的描述。此外,我们提出了一种在现有方法失效的情况下定位干扰源的新方法。更具体地说,当拥挤区域没有完全覆盖或空中交通稀少时,现有的方法是不够的。为了解决这些问题,我们引入了一种新的定位方法,该方法使用基于ads -b的观测来重建GPS干扰机的无线电水平,然后使用该信息来确定其位置。
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引用次数: 0
Water Vapor Retrieved from Ground-Based GNSS and its Applications in Lightning Weather in Hong Kong 地面GNSS反演的水汽及其在香港闪电天气中的应用
Pub Date : 2023-10-05 DOI: 10.33012/2023.19204
Ting Ni, Hang Guo, Min Yu, Jian Xiong, Qun Tian, Longfei Lv, Sai Du
As an important parameter in meteorological research, precipitable water vapor (PWV) can reflect atmospheric water vapor variations. PWV obtained through the inversion of global navigation satellite systems (GNSS) has the advantages of high accuracy, low cost, and high spatial-temporal resolution. In Hong Kong, frequent lightning activity is observed due to topographic and climatic conditions, and GNSS PWV can be used to analyze the lightning activity. GAMIT can derive accurate atmospheric information from GNSS observations. First, the zenith total delay (ZTD) of six IGS stations worldwide were calculated at different satellite elevation cutoff angles. It was found that the highest precision of ZTD was obtained at a satellite elevation cutoff angle of 10°, with an average RMSE (MAE) of 2.94mm (2.28 mm) for the six IGS stations. Second, when using GAMIT to calculate PWV, different mapping functions can yield different results. The PWV is solved by using the satellite observation data of HKSC station in Hong Kong, and it is found that the highest accuracy of PWV is obtained when using VMF1, and its RMSE (MAE) is 2.43 m (1.79 mm). Third, a study of 63 lightning events in the vicinity of HKSC and HKKT stations from May to October 2021 in the Hong Kong region reveals that the onset of lightning is usually preceded by a decreasing process of PWV. It was found that there is typically a decrease in PWV before the occurrence of lightning. Among the studied lightning events, 60.32% were associated with a decrease in PWV, while 39.68% were associated with an increase in PWV. Moreover, 73% of lightning events occurred within three hours before or after the lowest point of PWV during this decrease process. These results show that GNSS PWV has great potential for short-term proximity prediction of lightning in Hong Kong.
可降水量(PWV)是气象研究中的一个重要参数,可以反映大气水汽的变化。通过全球导航卫星系统(GNSS)反演得到的PWV具有精度高、成本低、时空分辨率高等优点。在香港,由于地形和气候条件,闪电活动频繁,GNSS PWV可用来分析闪电活动。GAMIT可以从GNSS观测中获得准确的大气信息。首先,计算了全球6个IGS站点在不同卫星高程截止角度下的天顶总时延(ZTD);结果表明,卫星高程截止角为10°时ZTD精度最高,平均均方根误差(MAE)为2.94mm (2.28 mm)。其次,在使用GAMIT计算PWV时,不同的映射函数会产生不同的结果。利用香港HKSC站的卫星观测资料对PWV进行求解,发现VMF1获得的PWV精度最高,其RMSE (MAE)为2.43 m (1.79 mm)。第三,对香港地区从2021年5月至10月在HKSC和HKKT站附近发生的63次闪电事件的研究表明,闪电的发生通常是在PWV减弱的过程之前。研究发现,在闪电发生前,PWV有一个典型的下降。在研究的闪电事件中,60.32%的闪电事件与PWV减少有关,39.68%的闪电事件与PWV增加有关。在此过程中,73%的闪电发生在PWV最低点前后3小时内。这些结果显示GNSS PWV系统在香港闪电的短期近距离预测方面有很大的潜力。
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引用次数: 0
Real Time Detection and Estimation of GNSS Interference Affected Region Using ADS-B Data and Bayesian Modeling 基于ADS-B数据和贝叶斯建模的GNSS干扰影响区实时检测与估计
Pub Date : 2023-10-05 DOI: 10.33012/2023.19466
Zixi Liu, Juan Blanch, Sherman Lo, Yu-Hsuan Chen, Todd Walter
GNSS serves safety-of-life applications in aviation such as precise navigation for approach and landing operations. Interference events happen near airport can severely affect the safe operations of the airspace. Two events in 2022, one at Dallas-Fort Worth International Airport (KDFW) and another at Denver International Airport (KDEN) caused widespread disruptions resulting in multiple aircraft reporting GPS unreliable within 30-40NM of the airport. Being able to quickly detect the existence of GNSS interference events can help reduce the safety or operational risks caused by such disruptions. This paper examines the use of Automatic Dependent Surveillance—Broadcast (ADS-B) to detect GNSS radio frequency interference (RFI). ADS-B is a surveillance system which has aircraft broadcasting its position every 0.4 – 0.6 sec. The position message contains a quality indicator which describes the accuracy and integrity of GPS performance. Depending on the severity of the interference experienced, ADS-B might stop broadcasting or report low position quality. Either result can be used to identify existence of GPS interference. ADS-B is already widely in use by commercial aircraft and there are many companies and academic networks that receive and offer ADS-B data. The ubiquity and openness of ADS-B provides an available widespread source of GNSS information. This study aims to develop an algorithm which can perform rapid detection of GNSS interference events using filtered ADS-B data. The algorithm needs to be able to detect multiple concurrent events while minimizing false alerts. The ultimate goal is to design a system of algorithms that is able to monitor the entire U.S. and provide immediate and reliable information about potential GPS interference events. The algorithm was tested and validated using data collected from real interference events.
GNSS服务于航空生命安全应用,如进近和着陆操作的精确导航。机场附近发生的干扰事件会严重影响空域的安全运行。2022年发生的两起事件,一起发生在达拉斯-沃斯堡国际机场(KDFW),另一起发生在丹佛国际机场(KDEN),造成了大范围的中断,导致多架飞机在机场30-40纳米范围内报告GPS不可靠。能够快速检测到GNSS干扰事件的存在,有助于减少此类干扰造成的安全或操作风险。本文研究了使用广播自动相关监视(ADS-B)来检测GNSS射频干扰(RFI)。ADS-B是一种监视系统,飞机每0.4 - 0.6秒广播一次其位置。位置信息包含一个质量指标,描述GPS性能的准确性和完整性。根据所经历的干扰的严重程度,ADS-B可能会停止广播或报告低位置质量。两种结果均可用于识别GPS干扰的存在。ADS-B已经在商用飞机上广泛使用,有许多公司和学术网络接收和提供ADS-B数据。ADS-B的普遍性和开放性为GNSS信息提供了一个广泛可用的来源。本研究旨在开发一种算法,可以使用滤波后的ADS-B数据快速检测GNSS干扰事件。该算法需要能够检测多个并发事件,同时最大限度地减少错误警报。最终目标是设计一个能够监控整个美国的算法系统,并提供有关潜在GPS干扰事件的即时可靠信息。利用实际干扰事件数据对算法进行了测试和验证。
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引用次数: 0
A New GNSS Ambiguity Resolution Method Through Mixed Integer Programming 一种基于混合整数规划的GNSS模糊度求解新方法
Pub Date : 2023-10-05 DOI: 10.33012/2023.19317
Hongmin Zhang, Weisong Wen, Li-Ta Hsu
Fixing ambiguity to a correct integer value is an essential part of high-accuracy positioning using the global navigation satellite system (GNSS) real-time kinematic (RTK). A lot of research has been done on this problem in the past decades. The least-squares ambiguity decorrelation adjustment (LAMBDA) is widely applied for estimating integer ambiguity. In general, the float ambiguity variables are resolved based on the least square estimation using the double-differenced code and carrier measurements. Then the integer ambiguity is resolved by the LAMBDA method which exploits the information content of the full ambiguity variance-covariance matrix, with statistical decorrelation as the objective in constructing the ambiguity transformation. One of the well-recognized challenges of the LAMBDA method is its reliance on the covariance matrix associated with float ambiguity. Moreover, the correlation between the float parameters and the integer ambiguities is not fully explored in the two-step optimization. Instead of resolving the integer ambiguity in a two-step-based manner, can we directly resolve the float state (position of the user) and integer ambiguities simultaneously in a tighter manner? To answer this question, this paper exploits to use of the mixed-integer program (MIP) to solve the GNSS-RTK positioning problem. In particular, the classical branch and bound algorithm of MIP is applied in this research. This algorithm uses a divide-and-conquer strategy to partition the solution space into subproblems and then optimizes individually over each subproblem, in order to find the best solution globally. At each subproblem in the branch and bound algorithm, the position parameter and integer ambiguity are estimated simultaneously to minimize the objective function. In this paper, epoch-by-epoch positioning experiment shows that the positioning performance can be improved a lot based on an MIP method when compared with the conventional method. Moreover, integer ambiguity can be obtained for all epochs. For some epochs, when LAMBDA cannot fix ambiguity successfully, the MIP method can get a reasonable integer value for ambiguity to improve the position accuracy. Compared with the conventional method, the newly proposed algorithm doesn’t directly rely heavily on the quality of float ambiguity estimation and the associated covariance which is indispensable for conventional LAMBDA algorithms. We can get integer ambiguity directly along with ambiguity-fixed position results in one step via the MIP method.
利用全球导航卫星系统(GNSS)实时运动学(RTK)实现高精度定位的关键是将模糊度固定为正确的整数值。在过去的几十年里,人们对这个问题进行了大量的研究。最小二乘模糊度去相关平差(LAMBDA)被广泛用于估计整数模糊度。一般情况下,基于最小二乘估计,利用双差分编码和载波测量来解决浮动模糊变量。然后利用全模糊度方差-协方差矩阵的信息量,以统计去相关为目标,利用LAMBDA方法求解整型模糊度。LAMBDA方法的一个公认的挑战是它依赖于与浮点模糊相关的协方差矩阵。此外,在两步优化中,没有充分探索浮点数参数与整数模糊度之间的相关性。我们能否以更紧密的方式同时直接解决浮点状态(用户的位置)和整数歧义,而不是以基于两步的方式解决整数歧义?为了解决这一问题,本文利用混合整数程序(MIP)来解决GNSS-RTK定位问题。特别地,在本研究中应用了经典的MIP分支定界算法。该算法采用分而治之的策略,将解空间划分为子问题,然后对每个子问题分别进行优化,以求得全局最优解。在分支定界算法的每个子问题上,同时估计位置参数和整数模糊度,以最小化目标函数。逐历元定位实验表明,基于MIP方法的定位性能比传统方法有很大提高。此外,对于所有的epoch都可以得到整数模糊性。对于某些epoch,当LAMBDA无法成功修复模糊度时,MIP方法可以得到一个合理的模糊度整数值,从而提高定位精度。与传统的LAMBDA算法相比,新算法不直接依赖浮点数模糊度估计的质量和相关协方差,而这是传统LAMBDA算法所不可缺少的。通过MIP方法,我们可以一步得到整型模糊度和定位模糊度的结果。
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引用次数: 0
期刊
Proceedings of the Satellite Division's International Technical Meeting
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