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1.
The parameter distributions of the integer GPS model 总被引：6，自引：0，他引：6
P. J. G. Teunissen 《Journal of Geodesy》2002,76(1):41-48
A parameter estimation theory is incomplete if no rigorous measures are available for describing the uncertainty of the parameter
estimators. Since the classical theory of linear estimation does not apply to the integer GPS model, rigorous probabilistic
statements cannot be made with reference to the classical results. The fact that integer parameters are involved in the estimation
process forces a reappraisal of the propagation of uncertainty. It is with this purpose in mind that the joint and marginal
distributional properties of both the integer and non-integer parameters of the GPS model are determined. These joint distributions
can also be used to determine the distribution of functions of the parameters. As an important example, the distribution of
the vector of ambiguity residuals is determined.
Received: 30 January 2001 / Accepted: 31 July 2001 相似文献
2.
An optimality property of the integer least-squares estimator 总被引：36，自引：15，他引：21
P. J. G. Teunissen 《Journal of Geodesy》1999,73(11):587-593
A probabilistic justification is given for using the integer least-squares (LS) estimator. The class of admissible integer
estimators is introduced and classical adjustment theory is extended by proving that the integer LS estimator is best in the
sense of maximizing the probability of correct integer estimation. For global positioning system ambiguity resolution, this
implies that the success rate of any other integer estimator of the carrier phase ambiguities will be smaller than or at the
most equal to the ambiguity success rate of the integer LS estimator. The success rates of any one of these estimators may
therefore be used to provide lower bounds for the LS success rate. This is particularly useful in case of the bootstrapped
estimator.
Received: 11 January 1999 / Accepted: 9 July 1999 相似文献
3.
长距离网络RTK是实现GPS/BDS高精度实时定位的主要手段之一,其核心是长距离参考站网GPS/BDS整周模糊度的快速准确确定。本文提出了一种长距离GPS/BDS参考站网载波相位整周模糊度解算方法,首先利用GPS双频观测数据计算和确定宽巷整周模糊度,同时利用BDS的B2、B3频率观测值确定超宽巷整周模糊度。然后建立GPS载波相位整周模糊度和大气延迟误差的参数估计模型,附加双差宽巷整周模糊度的约束,解算双差载波相位整周模糊度,并建立参考站网大气延迟误差的空间相关模型。根据B2、B3频率的超宽巷整周模糊度建立包含大气误差参数的载波相位整周模糊度解算模型,利用大气延迟误差空间相关模型约束BDS双差载波相位整周模糊度的解算。克服了传统的使用无电离层组合值解算整周模糊度的不利影响。采用实测长距离CORS网GPS、BDS多频观测数据进行算法验证,试验结果证明该方法可实现长距离参考站网GPS/BDS载波相位整周模糊度的准确固定。 相似文献
4.
It is a known fact that obtaining accurate GPS carrier-phase measurements involves fixed, unknown whole-cycle ambiguity parameters.
As the use of cosine functions to eliminate any double-difference integer ambiguities causes spatial ambiguity problems, both
reasonably approximated positions and wavelength-dependent convergence ranges are of the utmost importance. Differential GPS-based
position solutions are first smoothed to create a polynomial trajectory, leading to less variable position approximations.
Long-wavelength wide-lane phase combinations will then be utilized to facilitate convergent GPS positioning, on a stage-by-stage
basis. Although double-difference ionospheric path delays are often interpreted as nuisance parameters, they can be obtained
when the respective cosines of the original L1 and L2 carrier phases undergo a simultaneous least-squares estimation. In particular,
quadratic forms of the estimated phase residuals will be linked with hypothesis testing to allow for a meaningful statistical
inference. Some low-dynamics experiments are then performed to prove the feasibility of the proposed hierarchical positioning
concept.
Electronic Publication 相似文献
5.
基于整周模糊度概率特性的有效性检验 总被引：1，自引：0，他引：1
准确确定载波相位整周模糊度是快速高精度GPS定位的关键,已有的检验GPS整周模糊度有效性的方法几乎均是基于其为非随机常量建立的,因而都存在一定的缺陷。本文在研究整周模糊度概率特性的基础上,提出一种基于LABMBAD算法的整周模糊度概率分布函数的检验方法。实际演算表明该方法简单有效,统计概念明确。 相似文献
6.
单星GPS相位模糊度固定可以显著提升低轨卫星的定轨精度。目前,CNES/CLS、武汉大学和CODE 3家机构都已公开发布用于单星模糊度固定的GPS整数相位钟产品。本文首先利用整数相位钟方法实现单星模糊度固定,并应用于低轨卫星精密定轨中;然后,对比分析了不同机构提供的整数相位钟产品在低轨卫星单星模糊度固定和精密定轨中的应用性能;最后,通过对GRACE-FO编队卫星数据进行处理,发现基于不同机构产品的窄巷模糊度固定成功率都可以达到94%左右。不同机构产品获得的模糊度固定解轨道的SLR(satellite laser ranging)检核残差RMS约为0.9 cm,与模糊度浮点解的定轨结果相比,单星绝对轨道精度提高了约30%。在分别利用CNES/CLS、武汉大学和CODE产品实现单星模糊度固定后,双星相对轨道的KBR(K-band ranging)检核残差RMS分别从5.7、5.4和5.3 mm减小到2.1、2.0和1.5 mm。结果表明,不同整数相位钟产品在GRACE-FO卫星单星模糊度固定和精密定轨中的效果相当。 相似文献
7.
陈永奇 《武汉大学学报(信息科学版)》1997,(4)
检验解算的整周模糊度是ＧＰＳ精密快速定位的一个重要课题。过去已提出了不少方法，然而这些方法都存在一定的缺陷。本文提出一种新的方法，它是基于模型可区分度的概念。该方法利用可接受的第一、二类错误概率，计算边界值，并与固定解中最小残差二次型和次最小残差二次型比较，以确认相应于最小残差二次型的整周模糊度的有效性。 相似文献
8.
The problem of phase ambiguity resolution in global positioning system (GPS) theory is considered. The Bayesian approach
is applied to this problem and, using Monte Carlo simulation to search over the integer candidates, a practical expression
for the Bayesian estimator is obtained. The analysis of the integer grid points inside the search ellipsoid and their evolution
with time, while measurements are accumulated, leads to the development of a Bayesian theory based on a mathematical mixture
model for the ambiguity.
Received: 29 March 2001 / Accepted: 3 September 2001 相似文献
9.
Precision, volume and eigenspectra for GPS ambiguity
estimation based on the time-averaged satellite geometry 总被引：1，自引：1，他引：1
P. J. G. Teunissen 《Journal of Geodesy》1997,71(5):290-301
In this contribution we consider the
time-averaged GPS single-baseline model and study in a qualitative sense its
relation with the geometry-free model and the geometry-based model. The
least-squares estimators of the model are derived and their properties
discussed. Special attention is given to the ambiguity search space, since it
plays such a crucial role in the problem of integer ambiguity estimation and
validation. Easy-to-evaluate, closed-form expressions are presented for the
volumes of the ambiguity search spaces that belong to the geometry-free model,
the single-epoch geometry-based model and the time-averaged model. By means of
an eigenvalue analysis, the geometry of the ambiguity search spaces is revealed
and its impact on the search for the integer least-squares ambiguities
discussed.
Received: 3 April 1996; Accepted: 6 January 1997 相似文献
10.
一般卫星导航接收机的伪距测量误差大于宽巷波长。根据宽巷引导模型,直接使用双差伪距取整固定双差宽巷整周模糊度有很大概率会产生一周固定错误。基于此,提出了一种改进的宽巷引导整周模糊度固定算法,针对宽巷整周模糊度一周固定错误进行探测和修复。利用整周模糊度为整数的特质构造理论探测量,并将该探测量与载噪比所确定的门限相比较,判断是否出现宽巷整周模糊度一周固定错误;利用双差整周模糊度自由度为3的特点,修复错误宽巷整周模糊度。对该算法在高斯噪声条件下的可行性进行了理论分析,结果表明正常载噪比的观测数据均可分辨出一周宽巷整周模糊度的估计错误。同时,分析了考虑多径等误差后该算法所能接受的载波相位最大误差。计算了不同伪距误差下宽巷整周模糊度一周固定错误出现的概率。使用GPS实测短基线数据对算法进行验证,该算法可将基于宽巷引导的整周模糊度固定算法的固定率从原来的只有不到1/3提升至接近100%。 相似文献
11.
Penalized GNSS Ambiguity Resolution 总被引：1，自引：1，他引：1
P. J. G. Teunissen 《Journal of Geodesy》2004,78(4-5):235-244
Global Navigation Satellite System (GNSS) carrier phase ambiguity resolution is the process of resolving the carrier phase ambiguities as integers. It is the key to fast and high precision GNSS positioning and it applies to a great variety of GNSS models which are currently in use in navigation, surveying, geodesy and geophysics. A new principle of carrier phase ambiguity resolution is introduced. The idea is to give the user the possibility to assign penalties to the possible outcomes of the ambiguity resolution process: a high penalty for an incorrect integer outcome, a low penalty for a correct integer outcome and a medium penalty for the real valued float solution. As a result of the penalty assignment, each ambiguity resolution process has its own overall penalty. Using this penalty as the objective function which needs to be minimized, it is shown which ambiguity mapping has the smallest possible penalty. The theory presented is formulated using the class of integer aperture estimators as a framework. This class of estimators was introduced elsewhere as a larger class than the class of integer estimators. Integer aperture estimators, being of a hybrid nature, can have integer outcomes as well as non-integer outcomes. The minimal penalty ambiguity estimator is an example of an integer aperture estimator. The computational steps involved for determining the outcome of the minimal penalty estimator are given. The additional complexity in comparison with current practice is minor, since the optimal integer estimator still plays a major role in the solution of the minimal penalty ambiguity estimator. 相似文献
12.
The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation 总被引：71，自引：26，他引：71
P. J. G. Teunissen 《Journal of Geodesy》1995,70(1-2):65-82
The GPS double difference carrier phase measurements are ambiguous by an unknown integer number of cycles. High precision relative GPS positioning based on short observational timespan data, is possible, when reliable estimates of the integer double difference ambiguities can be determined in an efficient manner. In this contribution a new method is introduced that enables very fast integer least-squares estimation of the ambiguities. The method makes use of an ambiguity transformation that allows one to reformulate the original ambiguity estimation problem as a new problem that is much easier to solve. The transformation aims at decorrelating the least-squares ambiguities and is based on an integer approximation of the conditional least-squares transformation. This least-squares ambiguity decorrelation approach, flattens the typical discontinuity in the GPS-spectrum of ambiguity conditional variances and returns new ambiguities that show a dramatic improvement in correlation and precision. As a result, the search for the transformed integer least-squares ambiguities can be performed in a highly efficient manner. 相似文献
13.
未来的GNSS系统将广泛使用三个频点的载波信号，极大地推动了利用载波对用户位置和速度等信息进行高精度解算方法的研究。利用载波进行高精度解算的关键是高成功率的确定载波相位整周模糊度。CIR算法基于整数引导估计准则确定载波相位模糊度整数解，算法实现简单，模糊度解算成功率较高，具有很大的实际应用价值。然而目前CIR法在实际应用中主要针对GPS信号体制，在北斗信号体制下是否具有良好的性能还有待验证。本文将CIR法应用于北斗信号体制下三频载波整周模糊度的解算，利用仿真数据对算法进行验证，并将解算结果与GPS信号体制下解算结果进行对比，验证CIR法在北斗信号体制下的可行性，分析不同信号体制下CIR法的解算性能和适用范围。 相似文献
14.
BDS网络RTK参考站三频整周模糊度解算方法 总被引：1，自引：1，他引：0
北斗卫星导航系统是目前唯一一个全星座提供三频观测数据的卫星导航定位系统,三频观测值有助于载波相位整周模糊度的快速、准确固定。本文提出了一种BDS网络RTK参考站三频整周模糊度解算方法。首先利用B2、B3频率的观测值及严格的模糊度固定标准确定超宽巷整周模糊度,将固定的超宽巷整周模糊度与其他宽巷整周模糊度的线性关系作为约束条件,然后估计宽巷整周模糊度、相对天顶对流层延迟误差和电离层延迟误差,并搜索确定宽巷整周模糊度。利用固定的宽巷整周模糊度与三频载波相位整周模糊度的整数线性关系,将线性关系加入载波相位整周模糊度参数估计观测模型中,然后确定载波相位整周模糊度。使用实测的CORS网BDS三频观测数据进行算法验证,结果表明,该方法可正确有效地实现参考站间三频载波相位整周模糊度的快速解算。 相似文献
15.
用遗传算法搜索GPS单频单历元整周模糊度 总被引：10，自引：2，他引：10
介绍了短基线利用单频单历元双差载波相位定位时模糊度固定的基本理论，探讨了利用遗传算法快速搜索GPS单频单历元整周模糊度的一些理论和实现的方法．提出了用改进的正则化方法改善浮动解来提高搜索成功率的新思路。算例分析表明，在一定的条件下．应用遗传算法搜索整周模糊度成功率高、稳键性较好。 相似文献
16.
阐述了BDS/GPS单历元解算函数模型的相关理论,并进行了相应的公式推导。在此基础上,利用基于正则化的载波相位解算模型,解算宽巷模糊度。首先将BDS卫星宽巷模糊度值作为约束固定出IGSO和MEO卫星的模糊度;然后再将IGSO和MEO卫星模糊度值作为约束来固定GEO卫星模糊度。通过实测数据对该方法进行测试和分析,结果表明:BDS/GPS组合系统单历元宽巷模糊度成功率为100%;基频模糊度成功率90%以上;N、E、U方向定位精度达到了毫米至厘米级。 相似文献
17.
Position-domain integrity risk-based ambiguity validation for the integer bootstrap estimator 总被引：1，自引：0，他引：1
Integrity monitoring for ambiguity resolution is of significance for utilizing the high-precision carrier phase differential positioning for safety–critical navigational applications. The integer bootstrap estimator can provide an analytical probability density function, which enables the precise evaluation of the integrity risk for ambiguity validation. In order to monitor the effect of unknown ambiguity bias on the integer bootstrap estimator, the position-domain integrity risk of the integer bootstrapped baseline is evaluated under the complete failure modes by using the worst-case protection principle. Furthermore, a partial ambiguity resolution method is developed in order to satisfy the predefined integrity risk requirement. Static and kinematic experiments are carried out to test the proposed method by comparing with the traditional ratio test method and the protection level-based method. The static experimental result has shown that the proposed method can achieve a significant global availability improvement by 51% at most. The kinematic result reveals that the proposed method obtains the best balance between the positioning accuracy and the continuity performance. 相似文献
18.
基于区域参考站网的网络实时动态定位(real-time kinematic,RTK)方法是实现全球定位系统(global positioning system,GPS)、北斗卫星导航系统(BeiDou satellite navigation system,BDS)高精度定位的主要手段。研究了一种长距离GPS/BDS双系统网络RTK方法,首先采用长距离参考站网GPS/BDS多频观测数据确定宽巷整周模糊度,利用引入大气误差参数的参数估计模型解算GPS/BDS双差载波相位整周模糊度;然后按照长距离参考站网观测误差特性的不同,分类处理参考站观测误差,利用误差内插法计算流动站观测误差,以改正流动站GPS/BDS双系统载波相位观测值的观测误差;最后使用流动站多频载波相位整周模糊度解算方法确定GPS/BDS载波相位整周模糊度并解算位置参数。使用长距离连续运行参考站(continuously operating reference stations,CORS)网的实测数据进行实验,结果表明,该方法能够利用长距离GPS/BDS参考站网实现流动站的厘米级定位。 相似文献
19.
The alignments of the strapdown inertial navigation system (SDINS) utilizing GPS carrier phase rate measurements is introduced. In this paper, a measurement model of GPS carrier phase rate under two antenna configurations is derived in order to be used for the SDINS alignment process. For in-flight alignment, the performance of the proposed SDINS/GPS integration method is analyzed using the covariance analysis and the overall performance is briefly confirmed by the navigation result of a van test. Furthermore, we find that during in-flight alignment the proposed SDINS/GPS integrated system using GPS carrier phase rate measurements can be implemented in real time because the integer ambiguity problem resulting from carrier phase measurements is avoided. 相似文献
20.
扼要分析了现行整周模糊度确认方法 ,进而提出并证明了一条缩小整周模糊度搜索空间的定理。根据此定理 ,提出了一种不依赖假设检验的整周模糊度确认方法。该方法不仅可以加快整周模糊度的搜索速度 ,而且在次小残差二次型和最小残差二次型之比较小的情况下也能固定整周模糊度 ,并给出一个固定正确性的数字指标 相似文献