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1.
一种检验GPS整周模糊度解算有效性的方法   总被引:8,自引:0,他引:8  
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,过去已提出不少方法,然而这些方法都存在一定的缺陷,本提出一种新的方法,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   

2.
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   

3.
根据残差二次型次小与最小之差进行整周模糊度确认的关键是差值的分布,只有得到了合理的差值分布才可确定合理的界值.文中基于原有的两种方法及这两种方法的不足,从理论上导出了满足条件的差值分布,并作了一定的说明.  相似文献   

4.
根据残差二次型次小与最小之差进行整周模糊角度确认的关键是差值的分布,只有得到了合理的差值分布才可确定合理的界值。文中基于原有的两种方法及这两方法的不足,从理论上导出了满足条件的差值分布,并作了一定的说明。  相似文献   

5.
首先提出了浮点变换完全去相关法,该方法能够在单历元动态确定整周模糊度。研究了基于载波相位测量的完好性监测方法。利用最小二乘残差构造统计检验量,对整周模糊度进行检测。分析了定位误差保护限与卫星构型、漏警概率的关系。实测数据表明,整周模糊度在单历元动态求解的成功率为100%,增加1颗卫星将使垂直定位误差保护限减少约0.2 m,统计检验量检测周跳的正确率为100%。  相似文献   

6.
本文首先介绍了GPS动态相对定位的数据预处理和周跳探测方法和流程,这是实现高精度定位的前提,然后提出一种确定GPS双差整周模糊度的方法,采用M-W组合的方式,经过多历元的数据平滑得到精度在±1周以内的宽巷模糊度的浮点解,然后利用残差验后方差最小的原则搜索整周模糊度,最后用自编程序对实测数据进行验证,证明了本文方法的有效性。  相似文献   

7.
本文讨论了一种模糊度估算的优化方法-OMEGA(Opgimal method for estimating GPS ambiguities)方法。该方法基于经典的最小二乘搜索过程,首先通过对改化后观测向量的估算,达到了收缩模糊度搜索空间,加快模糊度正确性验证之目的;然后进行矩阵分解,改进了模糊度残差二次型的计算方法,加快模糊度搜索速度。实算结果表明,该方法较一般最小二乘过程效率提高了60%。  相似文献   

8.
雍雯  潘树国  王胜利 《测绘文摘》2013,(3):52-55,61
针对北斗卫星导航系统中高轨卫星角速度较慢引起的基线网络实时动态差分法模型病态性减弱较慢而造成的模糊度收敛较慢的问题,提出一种适用于网络实时动态差分法参考站间双差整周模糊度快速解算的新方法。首先,在分析北斗系统快速定位模型中法矩阵结构病态性的基础上,基于岭估计的原理提出一种减弱法矩阵病态性的新方法。该方法只需几个历元的北斗系统载波相位观测值,就可得到比较准确的模糊度浮动解及其相应的均方误差矩阵。利用最小二乘相关分解法方法,用与模糊度浮点解相应的均方误差矩阵代替协方差阵,可准确、快速地搜索固定整周模糊度。结合算例,将新方法和最小二乘法分别结合最小二乘相关分解法方法解算的整周模糊度结果进行比较,结果证明新方法能实现北斗系统双差整周模糊度的固定。  相似文献   

9.
单频GPS接收机整周模糊度快速动态解算方法研究   总被引:1,自引:1,他引:0  
刘立龙  刘斌  文鸿雁 《测绘科学》2008,33(6):127-129
本文提出了一种快速动态解算单频GPS接收机整周模糊度的方法,其基本思想是对系数阵进行QR分解,通过矩阵变换使模糊度参数和位置参数分离,降低矩阵维数,并采用了一种残差二次型的快速算法。针对单频GPS接收机数据进行了静态和动态两种实验,本文算法达到静态误差小于1cm、动态误差小于5cm的精度,表明对于动态用户,该方法是快速和有效的,可应用于高精度导航和动态定位。  相似文献   

10.
针对CORS系统建设成本高和选址困难的问题,该文提出GPS长距离网络RTK定位算法。该算法首先利用MW组合观测方程解算基准站双差宽巷整周模糊度,采用Saastamoinen模型和GMF映射函数模型相结合解算双差对流层干分量延迟残差,并将双差对流层湿分量延迟残差作为未知参数进行估计,同时结合无电离层组合观测值解算基准站双差载波整周模糊度;然后,采用综合误差内插法解算基准站和流动站的误差改正数;最后,采用最小二乘法逐历元进行法方程叠加解算流动站双差模糊度浮点解,并利用LAMBDA算法和通过TIKHONOV正则化改进的LAMBDA算法搜索固定流动站双差宽巷整周模糊度和双差载波整周模糊度。实验表明,该算法能够将基准站间距离提高到100~150km,使流动站用户可以获得厘米级定位结果。  相似文献   

11.
The reliability of the classical geometry- and ionospheric-free (GIF) three-carrier ambiguity resolution (TCAR) degrades when applied to long baselines of hundreds of kilometers. To overcome this deficiency, we propose two new models, which are used sequentially to resolve wide-lane (WL) and narrow-lane (NL) ambiguities and form a stepwise ambiguity resolution (AR) strategy. In the first model, after a successful extra-wide-lane AR, the pseudorange and phase observations are combined to estimate WL ambiguities, in which the residual ionospheric delays and geometry effects are eliminated. In the second model, using the resolved ambiguities from the first step, the two WL ambiguities are combined to remove ionospheric and geometry effects. The unknown coefficients in the two models are determined in such that they minimize the formal errors in the ambiguity estimates to optimize the ambiguity estimation. Using experimental BeiDou triple-frequency observations, we evaluate our method and identify three advantages. First, the two models use double-differenced phase observations that are not differences across frequency. Second, the two models are entirely free from ionospheric delay and geometry effects. Third, the unknown estimates in the two models satisfy the minimum noise condition, which makes the formal errors in the float NL ambiguity estimates much lower than those obtained with common GIF TCAR methods, thereby directly and significantly increasing the success rate of AR compared to the cascaded integer resolution method and two other GIF combinations.  相似文献   

12.
High-accuracy real-time GPS-based attitude determination requires that integer ambiguities be resolved very quickly so that the attitude angles can be output with minimum delay. This article describes an attitude determination algorithm that can resolve integer ambiguities instantaneously, relative to one antenna of a multi-antenna array configuration. The carrier phase and pseudorange observations are used with fixed baseline length constraints and fiberoptic gyro data. Real-time stochastic model improvement using empirical elevation-dependent standard deviation function and an estimated scale factor are a feature of this algorithm. Integer ambiguity search using the LAMBDA method, sophisticated validation criteria, and an adaptive procedure has also been implemented within the software. An experiment was carried out using four Leica dual-frequency GPS receivers (but only the L1 carrier phase and pseudorange data were used) and a low-cost fiberoptic on a car. The results indicate that integer ambiguities can be resolved on a single-epoch basis with a 98.9% success rate. ? 1999 John Wiley & Sons, Inc.  相似文献   

13.
Recent research has demonstrated that the undifferenced integer ambiguities can be recovered using products from a network solution. The standard dual-frequency PPP integer ambiguity resolution consists of two aspects: Hatch-Melbourne-Wübbena wide-lane (WL) and ionosphere-free narrow-lane (NL) integer ambiguity resolution. A major issue affecting the performance of dual-frequency PPP applications is the time it takes to fix these two types of integer ambiguities, especially if the WL integer ambiguity resolution suffers from the noisy pseudorange measurements and strong multipath effects. With modernized Global Navigation Satellite Systems, triple-frequency measurements will be available to global users and an extra WL (EWL) model with very long wavelength can be formulated. Then, the easily resolved EWL integer ambiguities can be used to construct linear combinations to accelerate the PPP WL integer ambiguity resolution. Therefore, we propose a new reliable procedure for the modeling and quality control of triple-frequency PPP WL and NL integer ambiguity resolution. First, we analyze a WL integer ambiguity resolution model based on triple-frequency measurements. Then, an optimal pseudorange linear combination which is ionosphere-free and has minimum measurement noise is developed and used as constraint in the WL and the NL integer ambiguity resolution. Based on simulations, we have investigated the inefficiency of dual-frequency WL integer ambiguity resolution and the performance of EWL integer ambiguity resolution. Using almanacs of GPS, Galileo and BeiDou, the performances of the proposed triple-frequency WL and NL models have been evaluated in terms of success rate. Comparing with dual-frequency PPP, numerical results indicate that the proposed triple-frequency models can outperform the dual-frequency PPP WL and NL integer ambiguity resolution. With 1 s sampling rate, generally, only several minutes of data are required for reliable triple-frequency PPP WL and NL integer ambiguity resolution. Under benign observation situations and good geometries, the integer ambiguity can be reliably resolved even within 10 s.  相似文献   

14.
In order to achieve a precise positioning solution from GPS, the carrier-phase measurements with correctly resolved integer ambiguities must be used. Based on the integration of GPS with pseudolites and Inertial Navigation Systems (INS), this paper proposes an effective procedure for single-frequency carrier-phase integer ambiguity resolution. With the inclusion of pseudolites and INS measurements, the proposed procedure can speed up the ambiguity resolution process and increase the reliability of the resolved ambiguities. In addition, a recently developed ambiguity validation test, and a stochastic modelling scheme (based on-line covariance matrix estimation) are adapted to enhance the quality of ambiguity resolution. The results of simulation studies and field experiments indicate that the proposed procedure indeed improves the performance of single-frequency ambiguity resolution in terms of both reliability and time-to-fix-ambiguity.  相似文献   

15.
Carrier phase measurements are primary observations for GPS attitude determination. Although the satellite-related errors can be virtually eliminated by forming single differences, the baseline-related errors such as line biases are still present in the single-differenced carrier phase measurements. It is, therefore, difficult to resolve the single-differenced integer ambiguities due to the line biases. By forming double differences, the line biases of the single-differenced carrier phase measurements can be effectively removed. However, the main disadvantages of this method lie in the fact that the double-differenced measurements are mathematically correlated and consequently the attitude obtained from the double differences is noisy. This paper presents a new algorithm through which both single and double differences are used simultaneously to resolve these problems in real-time. The solution of the integer ambiguities can be obtained by searching for the most likely grid point in the attitude domain that is independent of the correlation with the double differences. Next, the line biases and corresponding single difference integer ambiguities can be resolved on the fly by using the noisy attitude solution obtained from the previous double difference procedure. In addition, the relationship between the physical signal path difference and the line bias is formed. A new method is also applied to derive the attitude angles through finding the optimal solution of the attitude matrix element. The proposed new procedure is validated using ground and flight tests. Results have demonstrated that the new algorithm is effective and can satisfy the requirement of real-time applications.  相似文献   

16.
单频GPS快速定位中病态问题的解法研究   总被引:20,自引:3,他引:17  
研究只利用少数历元GPS载波相位观测值进行快速定位时的新解法.在分析病态法矩阵结构特性的基础上,基于TIKHONOV正则化原理,提出一种选择正则化矩阵R的新方法,减弱法方程的病态性.与其他方法相比,新方法得到与模糊度准确值更接近的浮动解及其相应的均方误差矩阵.结合LAMBDA方法,用均方误差矩阵代替协方差阵确定模糊度的搜索范围,可准确快速地确定模糊度,最后得到基线向量的解.结合算例,将新解法与最小二乘估计、岭估计和截断奇异值法分别结合LAMBDA方法解算模糊度的结果进行比较分析,展示新解法的效果.  相似文献   

17.
Precise GRACE baseline determination using GPS   总被引:13,自引:1,他引:13  
Precision relative navigation is an essential aspect of spacecraft formation flying missions, both from an operational and a scientific point of view. When using GPS as a relative distance sensor, dual-frequency receivers are required for high accuracy at large inter-satellite separations. This allows for a correction of the relative ionospheric path delay and enables double difference integer ambiguity resolution. Although kinematic relative positioning techniques demonstrate promising results for hardware-in-the-loop simulations, they were found to lack an adequate robustness in real-world applications. To overcome this limitation, an extended Kalman Filter modeling the relative spacecraft dynamics has been developed. The filter processes single difference GPS pseudorange and carrier phase observations to estimate the relative position and velocity along with empirical accelerations and carrier phase ambiguities. In parallel, double difference carrier phase ambiguities are resolved on both frequencies using the least square ambiguity decorrelation adjustment (LAMBDA) method in order to fully exploit the inherent measurement accuracy. The combination of reduced dynamic filtering with the LAMBDA method results in smooth relative position estimates as well as fast and reliable ambiguity resolution. The proposed method has been validated with data from the gravity recovery and climate experiment (GRACE) mission. For an 11-day data arc, the resulting solution matches the GRACE K-Band Ranging System measurements with an accuracy of 1 mm, whereby 83% of the double difference ambiguities are resolved.  相似文献   

18.
附有约束条件的GPS模糊度快速解算   总被引:2,自引:1,他引:1  
采用GPS相位观测值进行快速定位时,由于坐标与模糊度参数间的强共线性,造成浮点模糊度最小二乘解的精度很差,整周模糊度难以正确固定。在GPS的实际应用中,可以利用坐标参数与模糊度参数的约束条件,改善浮点模糊度的解算精度,减小整数模糊度的搜索空间。首先给出了这两类约束的通用模型,然后给出了不同情况下约束条件的具体形式,并导出了相应的GPS模糊度快速解算公式。用实例验证了算法的有效性。结果表明,采用约束条件,可排除大量错误的模糊度备选组合,从而提高模糊度的解算效率和成功率。因此,在GPS定位时,应尽可能利用各种约束条件。  相似文献   

19.
Modified ambiguity function approach for GPS carrier phase positioning   总被引:2,自引:1,他引:1  
This paper presents a new strategy for GPS carrier phase data processing. The classic approach generally consists of three steps: a float solution, a search for integer ambiguities, and a fixed solution. The new approach is based on certain properties of ambiguity function method and ensures the condition of integer ambiguities without the necessity of the additional step of the integer search. The ambiguities are not computed explicitly, although the condition of “integerness” of the ambiguities is ensured in the results through the least squares adjustment with condition equations in the functional model. An appropriate function for the condition equations is proposed and presented. The presented methodology, modified ambiguity function approach, currently uses a cascade adjustment with successive linear combinations of L1 and L2 carrier phase observations to ensure a correct solution. This paper presents the new methodology and compares it to the three-stage classic approach which includes ambiguity search. A numerical example is provided for 25 km baseline surveyed with dual-frequency receivers. All tests were performed using an in-house developed GINPOS software and it has been shown that the positioning results from both approaches are equivalent. It has also been proved that the new approach is robust to adverse effects of cycle slips. In our opinion, the proposed approach may be successfully used for carrier phase GPS data processing in geodetic applications.  相似文献   

20.
改进的ARCE方法及其在单频 GPS快速定位中的应用   总被引:4,自引:0,他引:4  
基于TIKHONOV正则化原理,设计了一种正则化矩阵的构造方法,将ARCE(ambiguity resolution using constraint equation)方法进行了改进。通过新的正则化矩阵的作用,减弱了GPS快速定位中少数历元情形下法矩阵的病态性,得到了比较准确的模糊度浮动解,大大减小了模糊度的搜索范围,利用ARCE方法固定模糊度的成功率高。并结合一个算例,验证了本文改进方法的效果。  相似文献   

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