一种适合单频GPS动态求解整周模糊度的方法

对于高精度测量和导航,GPS载波相位整周模糊度的快速求解仍然是一个难点,尤其对于单频接收机。本文提出一种动态快速求解整周模糊度的方法,其基本思想先对系数阵进行QR分解,然后通过矩阵变换使模糊度参数和位置参数分离,从而降低矩阵的维数,满足实时动态求解的要求,最后应用LAMBDA方法搜索模糊度。为验证该算法,我们用单频GPS接收机进行了两种实验(静态和动态),利用本文方法解算,静态误差小于1．5cm,动态误差小于4cm。实验结果表明：对于动态用户,该方法是快速和有效的。该方法可应用于高精度的导航和定位。     

Integration of GPS and low cost INS for pedestrian navigation aided by building layout

In outdoor environments, GPS is often used for pedestrian navigation by utilizing its signals for position computation, but in indoor or semi-obstructed environments, GPS signals are often unavailable. Therefore, pedestrian navigation for these environments should be realized by the integration of GPS and inertial navigation system （INS）. However, the lowcost INS could induce errors that may result in a large position drift. The problem can be minimized by mounting the sensors on the pedestrian＇s foot, using zero velocity update （ZUPT） method with the standard navigation algorithm to restrict the error growth. However, heading drift still remains despite using ZUPT measurements since the heading error is unobservable. Also, tbot mounted INS suffers from the initialization ambiguity of position and heading from GPS. In this paper, a novel algorithm is developed to mitigate the heading drift problem when using ZUPT. The method uses building lay- out to aid the heading measurement in Kalman filter, and it could also be combined for the initial- ization. The algorithm has been investigated with real field trials using the low cost Microstrain 3DM-GX3-25 inertial sensor, a Leica GS10 GPS receiver and a uBlox EVK-6T GPS receiver. It could be concluded that the proposed method offers a significant improvement in position accuracy for the long period, allowing pedestrian navigation for nearly40 min with mean position error less than 2.8 m. This method also has a considerable effect on the accuracy of the initialization.     

Ambiguity Resolution in Interferometry

A comprehensive theory of interferometry from a system viewpoint with particular emphasis on the ambiguity resolution problem is developed. The derived error equations include contributions from all system uncertainties, i.e., phase measurement, frequency, and element phase center position errors in three dimensions. The direction-of-arrival errors are inversely proportional to the interferometer baseline and it is customary to make the baseline large enough to meet the accuracy requirements. A system with a baseline greater than a half-wavelength results in the well known direction-of-arrival ambiguity problem with the addition of a third element to each baseline being a common method for resolving the ambiguity. It is shown that contrary to previous thinking there are many equally optimal positions for adding the third element to resolve the ambiguity. In addition, it is shown how the measurement made to resolve the ambiguity can also be applied to increase the accuracy of the angle-of-arrival measurement. A central result is the derivation of expressions specifying the probability of correct resolution of ambiguities as a function of system parameters and system errors. Moreover the concept of an acceptance criterion designed to reduce processing of erroneous measurements is developed. Narrowing the criterion reduces the percentage of data accepted for processing, but increases the probability of correct ambiguity resolution. This is analogous to the relationship between the probability of detection and the probability of false alarm in radar theory.     

附加双差模糊度网解约束的GNSS相位延迟估计

针对现有相位延迟估计方法未利用双差模糊度网解约束的特点,提出了一种附加双差模糊度网解约束的相位延迟估计方法。首先以整周双差模糊度网解为真值更新精密单点定位(PPP)估计的非差浮点模糊度,再通过网平差法估计未校正相位延迟(UPD)。实验结果表明,PPP双差模糊度与双差模糊度网解一致性好,其宽、窄巷中误差分别为0.07周和0.11周,误差大于1周的PPP双差模糊度主要出现在卫星初升阶段。约束改变了非差浮点模糊度,从而改变了参与UPD网平差的测站,使14%新升起卫星的窄巷UPD在短时间内较无约束有大于0.2周的差异。附加约束/无约束的全天星间单差UPD差异在大于99.9%的置信水平下满足零均值假设,表明整周双差模糊度网解约束方法与无约束方法估计UPD相关产品具有等效性。研究结果可为参考网非差模糊度解算和PPP与网络实时动态定位(RTK)的融合工作提供参考。     

部分模糊度固定方法在GNSS/INS紧组合中的应用研究

针对动态环境下GNSS/INS导航定位模糊度固定难的问题,提出了一种基于部分模糊度固定的GNSS/INS紧组合导航定位算法,通过选择模糊度的最优子集进行固定,并利用实测车载实验进行了算法验证.实验结果表明:在开阔环境下,基于部分模糊度固定的GNSS/INS紧组合与基于全模糊度固定的GNSS/INS紧组合算法的定位精度相当,均为厘米级,但是使用部分模糊度固定算法可以有效地提升模糊度固定率;在城市环境下,基于部分模糊度固定的算法明显优于基于全模糊度固定的算法,前者东向精度提升了8％、北向精度提升了31％、天向精度提升了60％,且模糊度固定率提升了21.8％.     

Resolution and synthetic aperture characterization of sparse radar arrays

The concept of radar satellite constellations, or clusters, for synthetic aperture radar (SAR), moving target indicator (MTI), and other radar modes has been proposed and is currently under research. These constellations form an array that is sparsely populated and irregularly spaced; therefore, traditional matched filtering is inadequate for dealing with the constellation's radiation pattern. To aid in the design, analysis, and signal processing of radar satellite constellations and sparse arrays in general, the characterization of the resolution and ambiguity functions of such systems is investigated. We project the radar's received phase history versus five sensor parameters: time, frequency, and three-dimensional position, into a phase history in terms of two eigensensors that can be interpreted as the dimensions of a two-dimensional synthetic aperture. Then, the synthetic aperture expression is used to derive resolution and the ambiguity function. Simulations are presented to verify the theory.     

一种GPS整周模糊度的解算方法

初始整周模糊度的求解是利用GPS载波相位进行测量的关键问题,文中提出了一种GPS整周模糊度快速解算方法。该方法：首先,对双差观测方程中指向卫星的方向阵进行QR分解;然后,通过比较估计出的基线长度和真实的基线长度建立起整周模糊度初始搜索范围;最后,综合利用快速剔除不合理模糊度解的检验方法以得到最终的模糊度解。文中对所提出的算法进行了理论推导,并进行了基于实测数据的实验与分析。实验结果表明,该算法计算量小,快速准确,适合整周模糊度的快速动态求解。     

Galileo系统对卫星导航系统的增强作用

介绍了正在建设的Galileo系统，从卫星导航系统的星座、完备性、通讯能力、求解载波相位整周模糊数能力以及对系统轨道漂移影响抑制能力五个方面入手，研究了Galileo系统对空间飞行器导航的增强作用。最后通过仿真研究．进一步分析了Galileo系统在空间飞行器导航应用中的增强作用。     

Multipath mitigation method based on Gaussian mixture model in RF relative measurement

Radio Frequency (RF) technology represents a high-precision relative navigation solution that has significant potential for application to earth-orbiting satellites. In precision applications, multipath errors dominate the total error because observables, which are used to estimate carrier-phase integer ambiguity, are not always subject to a Gaussian distribution when dual-frequency ambiguity estimation methods are used in the presence of multipath. As it has been shown that ranging observables obey a Gaussian mixture distribution, this study proposes improvements to the accuracy of estimation based on multipath mitigation founded on the Gaussian mixture model. To this end, such a model is created for integer ambiguity resolution in the presence of multipath, using which the theoretical error in dual-frequency ambiguity estimation is derived. Expectation Maximization (EM), which aids dual-frequency ambiguity estimation, is subsequently proposed to reduce the effect of multipath errors. Finally, two experimental scenarios are implemented to test the performance of the proposed method. The results show that EM-aided dual-frequency ambiguity estimation reduces the range error to approximately 20% in comparison with simple dual-frequency ambiguity estimation. Therefore the proposed technique is effective for multipath mitigation in RF relative measurement.     

A Concept of Position Fixing by a Passive Mode Navigation Satellite System

A position fix in a passive mode using satellites usually necessitates an expensive computer or lengthy hand calculation. This is the largest drawback of passive navigation and it would be more desirable if the user could find his position by a mere glance at a chart and table, as one uses Loran. The first step toward this goal is to use a synchronous satellite because it simplifies the problem. The next step is to find the position of the user by a Loran type of chart, which is universal, and correct this apparent position by looking at a special table which is made according to the amount of perturbation of both the satellite and the user's position. An example of the position fix along the route between Yokohama to Hawaii is shown. The concept can be extended to orbiting satellites due to the rules which govern the motion of satellites, if the fix accuracy is in the order of 2 to 5 miles. This method should be more accurate than the common sextant and more practical due to the fact that the satellite can be used at any time and in any weather. As a total system, it will be better than Omega because it could provide additional navigation information such as communication or traffic control by using satellites.     

一种基于多基线载波相位差测量的欺骗干扰检测方法

由于卫星导航信号到达地面的信号功率较低,且民用部分信息公开,极易受到欺骗干扰信号的影响,从而导致接收机解算出错误的位置、速度或时间.针对传统的欺骗干扰检测与抑制方法不能对欺骗干扰进行测向的问题,提出了一种基于阵列多天线接收信号的载波相位差进行欺骗信号检测与抑制的方法.该方法能够在缺少先验知识的条件下,借鉴相关干涉仪测向原理,利用不同阵元接收的同一信号的载波相位差构建观测量,实现接收机捕获信号的波达方向估计,通过与星历解算的卫星方向进行对比可实现欺骗干扰的检测与识别.仿真结果表明,该方法能够实现针对不同卫星的多个欺骗信号的波达方向识别,识别精度较高,具有较好的欺骗干扰检测效果,并且该方法对各种导航系统均适用.     

导航卫星载波相位模糊度自主解算方法

当有4颗以上导航卫星同步观测航天器(卫星、导弹)时,本文提出应用自主定位和自校准技术来自主解算导航卫星载波相位整周模糊度的方法,并以此获取航天器的高精度飞行轨道。     

四路鉴相器瞬时测频解模糊方法研究

比相法瞬时测频在电子对抗和空馈式雷达目标模拟领域占据重要地位。首先,介绍了比相法瞬时测频原理,设计了利用四路鉴相器实现瞬时测频的方法,并重点研究了四路鉴相器由低位向高位解模糊方法,给出了解模糊前后鉴相器二进制位构成和具体解模糊过程,该方法具有重要的工程参考价值。     

基于PDR和磁场匹配的智能手机室内定位

目前，基于磁场的室内定位方法存在指纹采集无法快速建库的问题，导致匹配特征较少、无法快速进行匹配操作和航向角估计精度低。基于磁场梯度的快速近似，使用高斯牛顿迭代方法结合通过PDR测量的轨迹进行磁场轮廓匹配定位，提高了单点磁场指纹的可分辨性。基于步态模型的更新用作测量信息以改善C-INS的导航性能，提出了一种基于捷联惯性导航系统的行人航位推算算法。基于MFS参考位置，使用扩展Kalman滤波器控制PDR惯性导航的位置漂移误差，进一步提高了轨迹轮廓的精度。测试结果表明，该算法可以获得更好的位置估计和航向估计结果。     

GPS多径信号的自适应滤波估计方法

 研究全球定位系统(GPS)多径信号估计的问题。通过分析自适应滤波器的原理,建立了数字中频信号处理的数学模型,提出一种用自适应滤波实现GPS多径幅度、码相位和载波相位估计的方法。该方法采用不同延迟的伪随机序列对信号进行解扩、解调和累加,得到了作为期望信号的系列自适应滤波相关值。对该方法与其他3种方法进行了理论上的分析比较,得出本方法具有信噪比高、自适应滤波性能好、带有码相位信息和不存在载波模糊度问题等优点。根据各种滤波器算法的特点和本应用的需求,给出了选用递归最小二乘算法实现的方法。通过计算机仿真,验证了提出的方法能够在14 dB的信噪比下,以1个采样间隔的时间延迟分辨率和0.005周的载波相位估计精度估计出GPS L1的多径信号。     

Pseudo-linear inertial navigation algorithm

A new method is illustrated for processing the output of a set of triad orthogonal rate gyros and accelerometers to reconstruct vehicle navigation parameters (attitude, velocity, and position). The paper introduces two vectors with dimensions 4 × 1 as velocity and position quaternions. The navigation equations for strapdown systems are nonlinear but after using these parameters, the navigation equations are converted into a pseudo-linear system. The new set of navigation equations has an analytical solution and the state transition matrix is used to solve the linear time-varying differential equations through time series. The navigation parameters are updated using the new formulation for strapdown navigation equations. Finally, the quaternions of velocity and position are converted into the original position and velocity vectors. The combination of the coning motion and a translational oscillatory trajectory is used to evaluate the accuracy of the proposed algorithm. The simulations show significant improvement in the accuracy of the inertial navigation system, which is achieved through the mentioned algorithm.     

Online INS/GPS integration with a radial basis function neural network

Most of the present navigation systems rely on Kalman filtering to fuse data from global positioning system (GPS) and the inertial navigation system (INS). In general, INS/GPS integration provides reliable navigation solutions by overcoming each of their shortcomings, including signal blockage for GPS and growth of position errors with time for INS. Present Kalman filtering INS/GPS integration techniques have some inadequacies related to the stochastic error models of inertial sensors, immunity to noise, and observability. This paper aims to introduce a multi-sensor system integration approach for fusing data from INS and GPS utilizing artificial neural networks (ANN). A multi-layer perceptron ANN has been recently suggested to fuse data from INS and differential GPS (DGPS). Although being able to improve the positioning accuracy, the complexity associated with both the architecture of multi-layer perceptron networks and its online training algorithms limit the real-time capabilities of this technique. This article, therefore, suggests the use of an alternative ANN architecture. This architecture is based on radial basis function (RBF) neural networks, which generally have simpler architecture and faster training procedures than multi-layer perceptron networks. The INS and GPS data are first processed using wavelet multi-resolution analysis (WRMA) before being applied to the RBF network. The WMRA is used to compare the INS and GPS position outputs at different resolution levels. The RBF-ANN module is then trained to predict the INS position errors and provide accurate positioning of the moving platform. Field-test results have demonstrated that substantial improvement in INS/GPS positioning accuracy could be obtained by applying the combined WRMA and RBF-ANN modules.     

Ground Testing of Inertial Navigators to Improve Dynamic Performance

A ground testing method has been devised to evaluate the dynamic errors of an inertial navigation system. A trimmed stationary inertial system in the navigation mode can be subjected to programmed platform orm drift rates, and generate position outputs which are compared with those of a perfect navigator. The linearized error equations for this testing mode are derived and the resulting position error propagation is analyzed using Kalman filtering in order to identify the error sources. A simulated platform with a fixed set of error sources is analyzed to evaluate this testing concept. An example is presented to show that the gyro and accelerometer scale factor and misalignment error coefficients can be estimated.     

基于精密单点定位的航空重力仪运动加速度估计

本文针对航空重力测量中利用单基准站差分GNSS方法估计载体加速度的局限性,提出了两种基于PPP的载体加速度高精度估计方法—位置差分法和相位差分法。在详细推导了两种估计方法解算方程的基础上,研究总结了方法各自的特点与优势,最后通过实验分析了卫星导航误差源对两种方法的影响。实验研究表明,相位差分法在抑制低阶误差方面更具优势;-2~+2周的整周模糊度解算偏差对位置差分法的加速度估计结果在滤波后产生近10mGal的影响;在数据采样间隔为1s时,1周的周跳对相位差分法的加速度估计结果产生数千mGal的误差。研究结果能为航空重力测量中利用PPP高精度估计重力仪加速度提供一定的理论指导,尤其对难以建站的测区的重力测量具有重大意义。     

基于多参量信息的水下地磁滤波导航算法

由于水下运载器使用地磁滤波导航方法时难收敛、易发散,根据水下运载 器的特点设计了一种基于多参量信息的水下地磁滤波导航算法。针对单纯使用地磁数据 进行位置匹配精度较差的问题,该算法在匹配及滤波过程中引入了地磁强度、航向、航 速等多参量信息,采用非线性滤波框架进行信息融合,采用粒子群算法根据多参量信息 进行位置搜索,并以之为系统滤波的观测值,通过提高位置观测精度改进滤波的收敛性 和鲁棒性。仿真结果表明,算法滤波精度高,稳定性好,能够较好地抑制各类传感器干 扰和误差对滤波估计的影响,适用于水下运载器的地磁导航定位。