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提出了一种利用动基线求解卫星无线电测定业务RDSS(Radio Determination Satellite Service)定向技术中单差整周模糊度的方法.接收机首先在基线处于某一初始状态下测量两颗卫星的载波相位单差,然后旋转基线两个较小角度,并分别测量不同状态下两颗卫星的载波相位单差.通过两次旋转获得的各基线状态之间的关系获得旋转平面,进而求得初始状态下的基线矢量.将求得的基线矢量初值代入单差观测方程可求得整周模糊度.整周模糊度的求解精度与基线长度、基线初始状态方位角以及基线转角等多种因素有关.仿真分析表明,当基线长度为3 m,基线两次旋转角度分别为30°,基线初始状态方位角在(0°,120°)和(180°,300°)范围内时,都可以正确求解整周模糊度. 相似文献
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首先从参数估计、精度评定和质量控制角度论证了在精密定位中随机模型的重要性;然后基于短基线单差观测模型,采用严密的方差分量估计方法计算了不同频率、不同卫星的相位和伪距观测值精度,任意频率之间的交叉相关性以及不同频率的相位和伪距观测值在不同时间间隔上的时间相关性;随后分析了随机模型对基线精度和整体检验统计量的影响。结果表明：北斗用户接收机数据精度都与高度角相关,建议采用高度角指数加权函数;北斗二号3个频率相位观测值之间存在不同程度的相关性,其他类型观测值之间的交叉相关性不明显,不同频率的相位和伪距观测值时间相关性较明显,高精度应用中需关注。另外,正确的随机模型计算的基线精度更接近理论精度。本文为用户正确认识北斗系统3个类型卫星观测信息、正确使用北斗系统提供支撑。 相似文献
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进行独立参数化时,GNSS观测方程的双差、单差与非差观测方程理论上是等价的。利用按高度角定权的模型以及不同测站跟踪不同数量卫星的等价观测方程,实现基于简化等价观测方程的GPS/GLONASS组合多基线解算,包括多基线模糊度的固定、基线向量的解算与精度分析,并用多个测站的GPS/GLONASS同步实测载波相位和码伪距观测数据完成多基线解算分析。计算结果表明,由于多个测站的同时作用导致几何强度增强,降低模糊度间的相关性,有利于模糊度的快速解算;同时简化等价观测方程,提高法方程的形成速度,解算的基线精度也优于单基线解算模式。 相似文献
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粗差发现和定位能力与相关系数的关系 总被引：2，自引：0，他引：2
根据粗差判断方程中的判断矩阵和两个统计检验量之间相关系数的函数式,论证了两种不同的研究方法所确定的粗差不能定位的数学模型实际上是相等的。通过算例,不仅说明两种研究方法对观测量不能定位粗差的判断是一致的,而且使用判断矩阵研究观测量的粗差发现和定位能力会更加方便简单。 相似文献
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北斗天线电气相位中心偏差检验试验研究 总被引：1，自引：0，他引：1
为满足北斗双星定位系统精密定位、定向的工程需要,提出一种北斗天线电气相位中心常值偏差3维检验方法,并建立了相应的数学模型.该方法通过基线旋转、单天线旋转、交换天线,利用载波相位单差、基线长度、天线高差测量信息来估计天线电气相位中心偏差,并且在单天线旋转条件下对不同方向、不同天线间单差观测方程求差,以减少未知参数个数.最后,应用此模型检验一对北斗天线,检验结果表明,在单差均方差为0.005周,基线长度、天线间高差均方差为1 mm的条件下,天线间电气相位中心偏差水平分量的检验精度达0.3 mm.论文所述方法操作简单,适合在野外对北斗天线进行电气相位中心偏差检验. 相似文献
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The differencing technique is useful in global positioning system (GPS) positioning when two or more GPS receivers collect simultaneous observables from common satellites at each epoch, and all carrier-phase observables have the same normal distribution. An analytical probability distribution of the single-, double-, triple- and multi-difference GPS observables is obtained. This analytical model, called ISO2002, has a good matrix structure, in which I indicates the number of receivers, S indicates the number of observed satellites, and O indicates the number of epochs. The variance–covariance matrix can be expressed as the Kronecker product of several small matrices, so its inverse is equal to the Kronecker product of the inverses of these sub-matrices. Moreover, these small matrices are circulant or symmetric diagonal Toeplitz matrices, so their inverses have analytical solutions. The analytical model ISO2002 proposed to compute the inverse variance–covariance matrix is shown to be very effective. 相似文献
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谱修正迭代结果的协因数矩阵 总被引：4，自引：0，他引：4
导出了谱修正迭代结果的协因数矩阵Q^↑x^↑x，证明了当法方程系数矩阵N满秩且呈良态时，Q^↑x^↑x就是N的凯利逆N^-1；当N秩亏时，Q^↑x^↑x就是N的Moore-Penrose逆N^ 。 相似文献
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根据GPS数据处理中的Kalman滤波状态转移矩阵和设计矩阵大量存在零元素的特点,将其构造成特定稀疏矩阵.再利用稀疏矩阵乘法,同时结合矩阵对称性、矩阵求逆降维等方法,可大大减少Kalman滤波的乘法次数.在非差C/A伪距情况下,该算法乘法总次数不到传统算法的1/3;在双差伪距P1,P2 双差载波情况下,该算法乘法总次数甚至不到1/6;其耗时也只有传统算法的1/3左右,因而大大提高了Kalman滤波的计算效率. 相似文献
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Dah-Jing Jwo 《GPS Solutions》2004,8(3):160-169
The solution for the receivers position and clock bias using four or more GPS pseudorange measurements involves nonlinear quadratic equations. One of the popular techniques for linearizing the equations and solving them is the least squares (LS) scheme based on an iterative gradient approach. For real-time applications when the solution is to be obtained within a time of the order of 100 ns, a computer often cannot comply with the desired computation time, or high-end computers are too expensive. In this paper various ordinary differential equation formulation schemes, and corresponding circuits of neuron-like analog processors, will be described and several tested in order to ascertain their suitability for GPS navigation processing purposes. The circuits of simple neuron-like analog processors are employed essentially for on-line inversion of matrices, which is usually required for determining LS solutions, as well as dilution of precision (DOP) calculation in standard GPS receivers. Data from single epoch and kinematic positioning experiments will be simulated to validate the effectiveness of the proposed scheme. The properties and performance of the proposed scheme will be assessed and compared to those of the conventional method of matrix inversion. 相似文献
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利用p3软件对大量实测数据进行了高精度单点定位有关问题的验证和分析;在IGS提供的精密星历和卫星钟差产品中,较为深入地比较分析了快速产品和几种最终产品的定位精度、收敛速度及p3软件的正反算结果精度。得出以下结论:快速产品与最终产品的定位精度和收敛速度相似;COD的收敛速度和定位精度最高;p3软件的反算精度明显优于正算,且精度也比较均匀。这些研究成果对PPP技术的实际应用具有较好的借鉴意义。 相似文献
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GPS辅助光束法平差的理论精度 总被引：1，自引：0，他引：1
袁修孝 《武汉大学学报(信息科学版)》1998,(4)
采用一组带ＧＰＳ导航数据的实际航摄资料,通过平差计算出精度矩阵Ｑｘｘ的数值,对ＧＰＳ辅助光束法平差的理论精度变化规律进行了全面讨论。以此为基础,从理论上给出最佳区域网的大小、地面控制点的布设等实用技术要求。此外,还探讨了ＧＰＳ用于单航线航空摄影测量加密的可行性和具体实施方案。 相似文献
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The technique of precise point positioning (PPP) is gradually becoming a popular method in GPS data-processing. In GPS observation equation, the unknown parameters can be separated into two parts: global parameters and local parameters. The global parameters include orbit, satellite clock and geodynamic parameters. The local parameters are site-occupation-spectific, such as position, tropospheric delay, etc. The formulas of local parameters are firstly derived under the network-solution and the PPP-solution conditions respectively. If the weight matrix of global parameters in PPP-solution is small enough, the cofactor matrices of local parameters are the same as that in network-solution. Then, 16 daily solutions are obtained in both PPP mode and network mode. Three sites are selected to compare the solutions. The experimental results demonstrated that the difference between two solutions in coordinates and tropospheric delays are only few millimeters. This level of difference can be neglected so that the solutions from both PPP mode and network mode can be taken as the same in the actual application. 相似文献
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PENG Lin LIU Yanxiong ZHOU Xinghua WU Yongting 《地球空间信息科学学报》2006,9(2):99-102
IntroductionIn GPS data-processing, the most accurate andpopular method is to solve the unknown parametersbased on a GPS network which includes many GPSsites. This mode is always called network-solution.The network-solution makes use of the spatial geom-e… 相似文献