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Designing and Implementing a RFID-based Indoor Guidance System 基于rfid的室内制导系统的设计与实现
Pub Date : 2008-04-01 DOI: 10.5081/JGPS.7.1.27
C. C. Chang, P. Lou, H. Y. Chen
Most people are not familiar with the indoor environment because most interior spaces are similar, and as such do not arouse the interest of most visitors. Although the GPS combined with the GIS has been broadly applied to many navigation applications, it might be still insufficient in an indoor environment where GPS signals are often severely obstructed. To meet the indoor requirements, the technique of RFID (Radio Frequency IDentification) was utilized to play an important locating role in the implementation of an indoor guidance system. The RFID tags, containing 1 KB capacity divided by 64 blocks, were adopted to accommodate the spatial-related information for working with the shortest routing for the system. By selecting the start and end points in the operation, the guidance system can suggest a direct, shortest distance, path. The locations of the passing points were identified and obtained by retrieving the spatial-related data from the tags next to the moving RFID reader. The guidance messages, including suggested path, modified path and moving directions, can be immediately presented to the users and arrive at their destination via the system’s graphic and voice interfaces. This guidance system has been comprehensively tested for its operation functions and was evaluated by a group of users, indicating that the average time for way finding in an indoor guidance trial can be efficiently reduced by 50%. This prototype for an indoor guidance system is expected to be capable of working on a portable device, such as a PDA or mobile phone, thereby extending its practical application.
大多数人不熟悉室内环境,因为大多数室内空间都是相似的,因此不能引起大多数游客的兴趣。虽然GPS与GIS的结合已广泛应用于许多导航应用中,但在GPS信号经常受到严重干扰的室内环境中,GPS与GIS的结合可能还不够。为了满足室内需求,利用射频识别技术(RFID)在室内制导系统的实现中发挥重要的定位作用。采用RFID标签,容量为1kb,分成64块,以容纳与空间相关的信息,使系统以最短的路由工作。通过在操作中选择起点和终点,制导系统可以建议一个直接的,最短距离的路径。通过从移动的RFID读取器旁边的标签中检索空间相关数据,识别并获得通过点的位置。导航信息,包括建议的路径,修改的路径和移动方向,可以立即呈现给用户,并通过系统的图形和语音界面到达他们的目的地。该制导系统的运行功能经过了全面的测试,并由一组用户进行了评估,结果表明,在室内制导试验中,平均寻路时间可有效减少50%。这种室内制导系统的原型有望在便携式设备上工作,例如PDA或移动电话,从而扩大其实际应用范围。
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引用次数: 8
Achieving Centimetre-level Positioning Accuracy in Urban Canyons with Locata Technology 利用Locata技术实现城市峡谷的厘米级定位精度
Pub Date : 2007-12-01 DOI: 10.5081/JGPS.6.2.158
J. Montillet, Xiaolin Meng, G. Roberts, A. Taha, C. Hancock, O. Ogundipe, J. Barnes
In 2005 The UK Department for Trade and Industry (DTI) commenced funding a project called Visualising Integrated Information on Buried Assets to Reduce Streetworks (VISTA). The project aims to precisely map buried assets (gas pipes, telecom cables, etc) and increase the efficiency of the process in challenging environments such as in urban canyons, where GPS fails to work or is not reliable enough to get a precise position. In this context the Institute of Engineering Surveying and Space Geodesy (IESSG) at the University of Nottingham purchased, at the beginning of 2007, a terrestrial network positioning system called Locata technology. This technology is developed by Locata Corporation Pty Ltd from Australia. Over the last five months researchers have carried out experiments with this new technology on the main campus of the University of Nottingham. The preliminary results show that LocataLites are a suitable technology to solve the positioning problems for the VISTA project. The overall accuracy is at the centimetre level for all points surveyed. Moreover, we underline in this paper the reliability and the flexibility of this new technology.
2005年,英国贸易和工业部(DTI)开始资助一项名为“隐藏资产综合信息可视化以减少街道工程”(VISTA)的项目。该项目旨在精确绘制地下资产(天然气管道、电信电缆等)的地图,并在具有挑战性的环境(如城市峡谷)中提高过程的效率,在这些环境中,GPS无法工作或不够可靠,无法获得精确位置。在这种情况下,诺丁汉大学的工程测量和空间大地测量研究所(IESSG)在2007年初购买了一个名为Locata技术的地面网络定位系统。这项技术是由澳大利亚Locata Corporation Pty Ltd开发的。在过去的五个月里,研究人员在诺丁汉大学的主校区对这项新技术进行了实验。初步结果表明,LocataLites是解决VISTA项目定位问题的合适技术。所有测量点的总体精度都在厘米级。此外,本文还强调了这种新技术的可靠性和灵活性。
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引用次数: 17
The Potential of Locata Technology for Structural Monitoring Applications Locata技术在结构监测应用中的潜力
Pub Date : 2007-12-01 DOI: 10.5081/JGPS.6.2.166
J. Barnes, C. Rizos, A. Pahwa, N. Politi, J. V. Cranenbroeck
Locata technology is becoming part of Leica Geosystems solution for the structural monitoring applications such as bridges and dams. This paper assesses the performance of the Locata technology using a test Locata network (LocataNet) established at the University of New South Wales. Using this network a long term static tests and a simulated deformation movement test, with GPS as a comparison, were conducted. This paper described the LocataNet established at UNSW and presents the results and analysis of the tests conducted. Overall the paper demonstrates the suitability of Locata for structural deformation monitoring type applications (such as bridges and dams) where there is reduced or unavailable satellite coverage.
Locata技术正在成为徕卡Geosystems解决方案的一部分,用于桥梁和水坝等结构监测应用。本文使用新南威尔士大学建立的测试Locata网络(LocataNet)来评估Locata技术的性能。利用该网络进行了长期静态试验和模拟变形运动试验,并以GPS为对照。本文描述了在新南威尔士大学建立的LocataNet,并介绍了所进行测试的结果和分析。总体而言,本文证明了Locata在卫星覆盖减少或无法覆盖的结构变形监测类型应用(如桥梁和水坝)中的适用性。
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引用次数: 18
Development of a Pseudo Quasi Zenith Satellite and Multipath Analysis Using an Airborne platform 伪准天顶卫星研制及机载平台多径分析
Pub Date : 2007-12-01 DOI: 10.5081/JGPS.6.2.126
T. Tsujii, H. Tomita, Y. Okuno, S. Kogure, M. Kishimoto, K. Okano, D. Manandhar, I. Petrovski, Masahiro Asako
Japan has been developing a new satellite based positioning system called Quasi-Zenith Satellite System (QZSS). Since improvement of positioning availability in urban area is one of the most important advantages of the QZSS, multipath mitigation is a key factor for the QZSS positioning system. Therefore, Japan Aerospace Exploration Agency (JAXA) and GNSS Inc. developed a pseudolite, which transmits the nextgeneration signal such as BOC(1,1), in order to evaluate the effect of multipath on the new signal. Flight experiments using a pseudo quasi-zenith satellite installed on a helicopter were conducted, and multipath mitigation by the BOC signal was demonstrated.
日本一直在开发一种新的卫星定位系统,称为准天顶卫星系统(QZSS)。由于提高城市区域的定位有效性是QZSS最重要的优势之一,因此多径缓解是QZSS定位系统的关键因素。因此,日本宇宙航空研究开发机构(JAXA)和GNSS公司开发了一颗伪卫星,用于传输BOC(1,1)等下一代信号,以评估多径对新信号的影响。利用安装在直升机上的伪准天顶卫星进行了飞行实验,验证了BOC信号的多径抑制作用。
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引用次数: 1
Development of the EGNOS Pseudolite System EGNOS伪卫星系统的研制
Pub Date : 2007-12-01 DOI: 10.5081/JGPS.6.2.119
Ruizhi Chen, Antti Hyttinen, Yuwei Chen
In order to access the Satellite Based Augmentation System (SBAS) service, the end user needs to have a direct line of sight to at least one of the Geostationary Earth Orbit (GEO) satellites transmitting the augmentation messages. This requirement is critical for users in environments such as city canyons, valleys and fjords since high buildings and mountains in the vicinity of the end user can easily block the lines of sight to the GEO satellites. The situation becomes worse at high latitudes because of the low elevation angles to the GEO satellites. Even a very low obstacle can block the lines of sight to the GEO satellites. This limitation reduces SBAS Signal in Space (SIS) availability significantly at high latitude especially for land applications. This paper presents a solution of transmitting the European Geostationary Navigation Overlay Service (EGNOS) SIS using a pseudolite. The EGNOS pseudolite functions in a similar way as a GEO satellite. It will provide not only a terrestrial-based solution for transmitting the EGNOS SIS, but also a ranging measurement for the navigation solution. The EGNOS pseudolite system mainly consists of a Master Control Station, an EGNOS Data Server, EGNOS pseudolites and the user terminal. A preliminary test on a surveyed site has been carried out to verify the functionalities of the system. The data set collected from the test has been processed with two scenarios: one with four GPS satellites, while the other with three GPS satellites plus an EGNOS pseudolite. Both data processing scenarios have similar satellite geometries. The test result shows that the positioning accuracies are similar for both scenarios.
为了使用卫星增强系统(SBAS)服务,终端用户需要对至少一颗传输增强信息的地球静止轨道(GEO)卫星有直接的视线。这一要求对于城市峡谷、山谷和峡湾等环境中的用户至关重要,因为最终用户附近的高层建筑和山脉很容易阻挡地球同步轨道卫星的视线。在高纬度地区,由于与地球同步轨道卫星的仰角较低,这种情况更加严重。即使是非常低的障碍物也会阻挡地球同步轨道卫星的视线。这一限制大大降低了SBAS空间信号(SIS)在高纬度地区的可用性,特别是在陆地应用中。提出了一种利用伪卫星传输欧洲同步导航覆盖服务(EGNOS) SIS的解决方案。EGNOS伪卫星的功能与地球同步轨道卫星类似。它不仅将为传输EGNOS SIS提供陆基解决方案,还将为导航解决方案提供测距测量。EGNOS伪卫星系统主要由主控站、EGNOS数据服务器、EGNOS伪卫星和用户终端组成。已在一个调查地点进行了初步测试,以验证该系统的功能。从测试中收集的数据集已经在两种情况下进行了处理:一种是四颗GPS卫星,另一种是三颗GPS卫星加一颗EGNOS伪卫星。两种数据处理方案都具有类似的卫星几何形状。测试结果表明,两种情况下定位精度相近。
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引用次数: 8
Adaptive Tropospheric Delay Modelling in GPS/INS/Pseudolite Integration for Airborne Surveying 航空测量GPS/INS/伪卫星集成中的自适应对流层延迟建模
Pub Date : 2007-12-01 DOI: 10.5081/JGPS.6.2.142
J. Wang, Jinling Wang
Integrated GPS/INS systems have been used for geo-referencing airborne surveying and mapping platforms. However, due to the limited constellation of GPS satellites and their geometric distribution, the accuracy of such integrated systems cannot meet the requirements of precise airborne surveying. This problem can be addressed by including additional GPS-like ranging signals transmitted from the ground-based pseudolites (PLs). As GPS measurement geometry could be strengthened dramatically by the PL augmentation, the accuracy and reliability of an integrated system can be improved, especially in the vertical component. Nevertheless, some modelling challenges exist in PLs augmentation. As PLs are relatively close to receivers, the unit vectors from a PL to he reference and rover receivers can be significantly different. PL tropospheric delay modelling errors cannot be effectively mitigated in a differencing procedure. Furthermore, PL signals propagate through the lower troposphere, where it is very difficult to accurately model the signal delay due to temporal and spatial variations of meteorological parameters. In this paper, an adaptive PL tropospheric delay modelling method is developed to reduce such modelling errors by estimating meteorological parameters in a model. The performance of this adaptive method isevaluated with field test data. The testing results haveshown that the PL tropospheric delay modelling error can be effectively mitigated by the proposed method.
综合GPS/INS系统已用于地理参考航空测绘平台。然而,由于GPS卫星的星座和几何分布的限制,这种集成系统的精度不能满足精密航空测量的要求。这个问题可以通过包括从地面伪卫星(PLs)传输的附加的类似gps的测距信号来解决。由于GPS测量几何形状可以通过PL增强而大大增强,因此可以提高集成系统的精度和可靠性,特别是在垂直组件方面。然而,在PLs增强中存在一些建模挑战。由于PL相对靠近接收器,从PL到参考和漫游者接收器的单位矢量可能显着不同。PL对流层延迟建模误差不能在差分过程中有效减轻。此外,PL信号通过对流层低层传播,由于气象参数的时空变化,很难准确地模拟信号延迟。本文提出了一种自适应PL对流层延迟建模方法,通过估计模型中的气象参数来减小这种建模误差。用现场试验数据对该自适应方法的性能进行了评价。测试结果表明,该方法可以有效地减小对流层时延建模误差。
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引用次数: 2
Autonomous Navigation Environment with Self-Calibrating Transceivers 具有自校准收发器的自主导航环境
Pub Date : 2007-09-28 DOI: 10.5081/JGPS.6.2.149
S. S. tzer, S. Martin, M. V. Voithenberg
An operable navigation system which demonstrates successful self-calibration and precise local navigation has been developed by EADS Astrium. This paper presents the architecture of the autonomous navigation environment with the ability to calibrate itself as well as the results of field tests. The Self-calibrating autonomous Navigation Environment (SekaN) can be used as stand-alone navigation system for applications where satellite signals are not available or where autonomy and high precision is required. Cargo drop, navigation in canyons and open pit mines, indoor navigation and extraterrestrial navigation are just examples of possible applications. The self-calibrating feature of SekaN is of special interest in conflict areas where a temporary autonomous navigation environment has to be installed quickly and where it is not possible to calibrate the locations of the pseudolites a priori. Furthermore, the system can be operated as augmentation system to classical satellite navigation systems. Therefore a mixed mode has been introduced which allows for simultaneous tracking of both satellite signals and pseudolite signals. Referencing of the local coordinate system to e.g. WGS84 becomes possible. The SekaN system comprises the following HW units developed by EADS Astrium: at least 4 Transceivers (TCs), a Rover receiver (ROV) and a Master Control Station (MCS). A WLAN data link is used between the units. Each TC comprises a GNSS signal generator NSG 5100 which supports both GPS and Galileo signals and an Astriumspecific GPS/PSL receiver. The number of TCs in the network is scalable and dependent on the specific application of the SekaN. Various TC-array sizes are supported as the output power of the pseudolites can be varied in a wide range. The rover receiver positioning takes place at the MCS. However, several receivers may be registered at the MCS. The TCs are operated unsynchronized and differential concepts are applied to eliminate the clock errors. Presently the pulsed signals with pseudolite spreading codes at the GPS L1 and dummy navigation messages are used as navigation signals. As soon as low-cost Galileo receivers are available the system can be switched to any Galileo frequency band. In a batch process the exact locations of the TC TX-antennas are determined without any a priori knowledge of the geometric array configuration. The general idea behind the self-calibration algorithms is based on the solution algorithm for self-calibrating pseudolite arrays presented in (LeMaster and Rock, 2002). However, several modifications were necessary to adapt the algorithms to the SekaN system requirements. The rover which is used for data collection during the self-calibration process is designed as a Receiver-only module instead of a TC module. This makes the rover hardware less complex, smaller and lighter, but also complicates the self-calibration process. Self-differencing between the stationary TCs and the rover TC can no longer be applied
EADS Astrium公司开发了一种可操作的导航系统,该系统展示了成功的自校准和精确的局部导航。本文介绍了具有自校准能力的自主导航环境的体系结构以及现场测试结果。自校准自主导航环境(SekaN)可以作为独立的导航系统,用于卫星信号不可用或需要自主性和高精度的应用。货物掉落,峡谷和露天矿山导航,室内导航和地外导航只是可能应用的例子。SekaN的自校准特性在必须迅速安装临时自主导航环境并且不可能先验地校准伪卫星位置的冲突地区具有特别的意义。此外,该系统还可以作为传统卫星导航系统的增强系统。因此,引入了一种混合模式,允许同时跟踪卫星信号和伪卫星信号。将本地坐标系引用到例如WGS84成为可能。SekaN系统由EADS Astrium开发的以下硬件单元组成:至少4个收发器(tc),一个漫游接收器(ROV)和一个主控制站(MCS)。在设备之间使用WLAN数据链路。每个TC包括一个支持GPS和Galileo信号的GNSS信号发生器NSG 5100和一个专用的astrium GPS/PSL接收器。网络中tc的数量是可扩展的,并且取决于SekaN的具体应用。由于伪卫星的输出功率可以在很宽的范围内变化,因此支持各种tc阵列尺寸。漫游者接收器的定位发生在MCS。然而,可能会有几个接管人在MCS注册。tc的操作不同步,并采用差分概念来消除时钟误差。目前在GPS L1位置采用伪卫星扩频码的脉冲信号和虚拟导航电文作为导航信号。一旦低成本的伽利略接收机可用,系统就可以切换到任何伽利略频段。在批量处理过程中,在没有任何几何阵列配置的先验知识的情况下确定TC tx天线的确切位置。自校准算法背后的总体思想是基于(LeMaster and Rock, 2002)中提出的自校准伪卫星阵列的求解算法。然而,为了使算法适应SekaN系统的要求,需要进行一些修改。在自校准过程中用于数据采集的漫游者被设计为仅接收模块而不是TC模块。这使得探测车硬件不那么复杂,体积更小,重量更轻,但也使自校准过程复杂化。静止TC和漫游器TC之间的自差分不再适用。因此,漫游者RX和tc之间的距离不能直接观测到。为SekaN开发的自校准和导航算法可以在二维和三维场景下工作。尽管多径效应、非线性和远近效应是这些地面导航系统固有的,但在自校准导航环境中,即使使用低成本的接收器,也可以在亚米级进行精确的用户定位。
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引用次数: 5
First Outdoor Positioning Results with Real Galileo Signals by Using the German Galileo Test and Development Environment - GATE 利用德国伽利略测试和开发环境GATE首次获得了真实伽利略信号的室外定位结果
Pub Date : 2007-09-28 DOI: 10.5081/JGPS.6.2.108
G. Heinrichs, E. Löhnert, E. Wittmann, R. Kaniuth
Under the leadership of IFEN GmbH, the Galileo Test and Development Environment GATE is being built up in southern Germany by a consortium of several German companies and institutes on behalf of the German Aerospace Center (DLR) with funding by the German Federal Ministry of Education and Research. The performance tests regarding the user positioning performance will cover various test scenarios for static and dynamic cases. The tests will be performed in all available GATE operation modes with GATE signals only and in combination with GPS. Preliminary test during system testing phase showed already impressive positioning performance with dedicated signals and services. The paper gives an overview on the variant test scenarios and setups and illustrates the detailed hardware setup. An introduction in the GATE Backend Receiver Software, which computes the position solution, is presented. It describes the test procedures and shows the test results. Finally an evaluation on the different GATE services with respect to the positioning performance is presented.
在IFEN有限公司的领导下,伽利略测试和开发环境GATE正在德国南部由几家德国公司和研究所组成的财团代表德国航空航天中心(DLR)在德国联邦教育和研究部的资助下建造。关于用户定位性能的性能测试将涵盖静态和动态用例的各种测试场景。测试将在所有可用的GATE操作模式下进行,只有GATE信号,并与GPS结合使用。在系统测试阶段的初步测试显示,使用专用信号和服务的定位性能已经令人印象深刻。本文概述了各种测试场景和设置,并举例说明了详细的硬件设置。介绍了计算位置解的GATE后端接收机软件。它描述了测试过程并显示了测试结果。最后对不同的GATE服务的定位性能进行了评价。
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引用次数: 5
Precise Point Positioning Using Combined GPS and GLONASS Observations 结合GPS和GLONASS观测的精确点定位
Pub Date : 2007-06-01 DOI: 10.5081/JGPS.6.1.13
C. Cai, Yang Gao
Precise Point Positioning (PPP) is currently based on the processing of only GPS observations. Its positioning accuracy, availability and reliability are very dependent on the number of visible satellites, which is often insufficient in the environments such as urban canyons, mountain and open-pit mines areas. Even in the open area where sufficient GPS satellites are available, the accuracy and reliability could still be affected by poor satellite geometry. One possible way to increase the satellite signal availability and positioning reliability is to integrate GPS and GLONASS observations. Since the International GLONASS Experiment (IGEX-98) and the follow-on GLONASS Service Pilot Project (IGLOS), the GLONASS precise orbit and clock data have become available. A combined GPS and GLONASS PPP could therefore be implemented using GPS and GLONASS precise orbits and clock data. In this research, the positioning model of PPP using both GPS and GLONASS observations is described. The performance of the combined GPS and GLONASS PPP is assessed using the IGS tracking network observation data and the currently available precise GLONASS orbit and clock data. The positioning accuracy and convergence time are compared between GPS-only and combined GPS/GLONASS processing. The results have indicated an improvement on the position convergence time but correlates to the satellite geometry improvement. The results also indicate an improvement on the positioning accuracy by integrating GLONASS observations.
精确点定位(PPP)目前仅基于GPS观测数据的处理。它的定位精度、可用性和可靠性很大程度上依赖于可见卫星的数量,而在城市峡谷、山区和露天矿区等环境下,可见卫星的数量往往不足。即使在有足够GPS卫星可用的开阔地区,精度和可靠性仍可能受到卫星几何形状差的影响。增加卫星信号可用性和定位可靠性的一种可能方法是整合GPS和GLONASS观测。自从国际格洛纳斯实验(IGEX-98)和后续的格洛纳斯服务试点项目(IGLOS)以来,已经可以获得格洛纳斯精确的轨道和时钟数据。因此,可以利用GPS和GLONASS精确的轨道和时钟数据来实现GPS和GLONASS联合PPP。本文描述了GPS和GLONASS观测数据对PPP的定位模型。利用IGS跟踪网络观测数据和目前可获得的精确GLONASS轨道和时钟数据,对GPS和GLONASS联合PPP的性能进行了评估。比较了GPS-only和GPS/GLONASS联合处理的定位精度和收敛时间。结果表明,位置收敛时间有所改善,但这与卫星几何形状的改善有关。结果还表明,通过整合GLONASS观测数据,可以提高定位精度。
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引用次数: 130
Towards a unified theory of GNSS ambiguity resolution GNSS模糊度解决的统一理论研究
Pub Date : 2007-06-01 DOI: 10.5081/JGPS.6.1.1
P. Teunissen
In this invited contribution a brief review will be presented of the integer estimation theory as developed by the author over the last decade and which started with the introduction of the LAMBDA method in 1993. The re- view discusses three different, but closely related classes of ambiguity estimators. They are the integer estimators, the integer aperture estimators and the integer equivariant estimators. Integer estimators are integer aperture estima- tors and integer aperture estimators are integer equivari- ant estimators. The reverse is not necessarily true how- ever. Thus of the three types of estimators the integer es- timators are the most restrictive. Their pull-in regions are translational invariant, disjunct and they cover the ambi- guity space completely. Well-known examples are integer rounding, integer bootstrapping and integer least-squares. A less restrictive class of estimators is the class of inte- ger aperture estimators. Their pull-in regions only obey two of the three conditions. They are still translational invariant and disjunct, but they do not need to cover the ambiguity space completely. As a consequence the inte- ger aperture estimators are of a hybrid nature having either integer or non-integer outcomes. Examples of integer aper- ture estimators are the ratio-testimator and the difference- testimator. The class of integer equivariant estimators is the less restrictive of the three classes. These estimators only obey one of the three conditions, namely the condi- tion of being translational invariant. As a consequence the outcomes of integer equivariant estimators are always real- valued. For each of the three classes of estimators we also present the optimal estimator. Although the Gaussian case is usually assumed, the results are presented for an arbi- trary probability density function of the float solution. The optimal integer estimator in the Gaussian case is the inte- ger least-squares estimator. The optimality criterion used is that of maximizing the probability of correct integer es- timation, the so-called success rate. The optimal integer aperture estimator in the Gaussian case is the one which only returns the integer least-squares solution when the in- teger least-squares residual resides in the optimal aperture pull-in region. This region is governed by the probability density function of the float solution and by the probabil- ity density function of the integer least-squares residual. The aperture of the pull-in region is governed by a user- defined aperture parameter. The optimality criterion used is that of maximizing the probability of correct integer esti- mation given a fixed, user-defined, probability of incorrect integer estimation. The optimal integer aperture estimator becomes identical to the optimal integer estimator in case the success rate and the fail rate sum up to one. The best integer equivariant estimator is an infinite weighted sum of all integers. The weights are determined as ratios
在这篇特邀文章中,将简要回顾作者在过去十年中发展起来的整数估计理论,并从1993年引入LAMBDA方法开始。本文讨论了三种不同但密切相关的模糊估计器。它们是整数估计量、整数孔径估计量和整数等变估计量。整数估计量是整数孔径估计量,整数孔径估计量是整数等变估计量。反之则不一定正确。因此,在三种类型的估计中,整数估计是最具限制性的。它们的拉入区域是平移不变的、不相交的,并且完全覆盖了模糊空间。众所周知的例子有整数舍入、整数自举和整数最小二乘。一类限制较少的估计量是整数孔径估计量。它们的牵引区域只服从三个条件中的两个。它们仍然是平移不变的和分析的,但它们不需要完全覆盖歧义空间。因此,整数孔径估计量是具有整数或非整数结果的混合性质。整数结构估计量的例子有比值估计量和差值估计量。整数等变估计量是这三类中限制较小的一类。这些估计量只满足三个条件中的一个,即平移不变的条件。因此,整数等变估计的结果总是实值的。对于每一类估计量,我们也给出了最优估计量。虽然通常假设为高斯情况,但结果是针对浮点解的任意概率密度函数提出的。在高斯情况下,最优整数估计量是整数最小二乘估计量。所使用的最优性准则是使正确整数估计的概率最大化,即所谓的成功率。高斯情况下最优整数孔径估计量是当整数最小二乘残差位于最优孔径拉入区域时,只返回整数最小二乘解的估计量。该区域由浮点解的概率密度函数和整数最小二乘残差的概率密度函数控制。拉入区的孔径由用户定义的孔径参数控制。所使用的最优性准则是在给定一个固定的、用户自定义的整数估计错误概率的情况下,使正确整数估计的概率最大化。当成功率和失败率之和等于1时,最优整数孔径估计量与最优整数孔径估计量相等。最佳整数等变估计量是所有整数的无限加权和。权重由浮点数的概率密度函数与其整数移位拷贝序列之比确定。所使用的最优准则是使均方误差最小。因此,最佳整数等变估计器在精度方面总是优于浮点解。
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引用次数: 38
期刊
Journal of Global Positioning Systems
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