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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   
2.
半参数回归与模型精化   总被引:31,自引:4,他引:31  
就一般情况给出了半参数平差的算法,并结合一种特定的情况,讨论了正规化矩阵半正定时的计算方法,给出了相应的公式,最后构造了一个模拟的平差问题,对半参数法和最小二乘法的计算结果进行了比较,计算表明,半参数法能够发现并识别模型误差或观测值中的系统误差。  相似文献   
3.
This paper presents a semiparametric adjustment method suitable for general cases. Assuming that the regularizer matrix is positive definite, the calculation method is discussed and the corresponding formulae are presented. Finally, a simulated adjustment problem is constructed to explain the method given in this paper. The results from the semiparametric model and G-M model are compared. The results demonstrate that the model errors or the systematic errors of the observations can be detected correctly with the semiparametric estimate method.  相似文献   
4.
A new algorithm, called as Double-Epoch Algorithm (DEA) is proposed in GPS rapid positioning using two epoch single frequency phase data in this paper. Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIK-HONOV regularization theorem, a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained, using two epoch single frequency phase data. Combined with LAMBDA method, DEA can fix the integer ambiguities correctly and quickly using MSEM instead of the covariance matrix of the ambiguities. Compared with the traditional methods, DEA can improve the efficiency obviously in rapid positioning. So, the new algorithm has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning and attitude determination, etc.  相似文献   
5.
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   
6.
A new algorithm, called as Double-Epoch Algorithm (DEA) is proposed in GPS rapid positioning using two epoch single frequency phase data in this paper. Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIKHONOV regularization theorem, a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained, using two epoch single frequency phase data. Combined with LAMBDA method, DEA can fix the integer ambiguities correctly and quickly using MSEM instead of the covariance matrix of the ambiguities. Compared with the traditional methods, DEA can improve the efficiency obviously in rapid positioning. So, the new algorithm has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning and attitude determination, etc.  相似文献   
7.
补偿最小二乘估计在确定高程异常中的应用   总被引:2,自引:0,他引:2  
针对常规最小二乘拟合求解高程异常存在的模型误差,本文提出将模型误差看作非参数信号采用补偿最小二乘法来处理,讨论了正则化矩阵R和平滑参数α的选取对拟合结果的影响,在对各种求解光滑参数深入研究的基础上,提出了一种Xu(α)函数法,并对一个测区的GPS水准数据进行解算,结果表明,利用补偿最小二乘模型求解高程异常优于最小二乘法。  相似文献   
8.
Semiparametric Regreswsion and Model Refining   总被引:11,自引:0,他引:11  
This paper presents a semiparametric adjustment method suitable for general cases.Assuming that the regularizer matrix is positive definite,the calculation method is discussed and the corresponding formulae are presented.Finally,a simulated adjustment problem is constructed to explain the method given in this paper,The results from the semiparametric model and G-M model are compared.The results demonstrate that the model errors or the systematic errors of the observations can be detected correctly with the semiparametric estimate method.  相似文献   
9.
单频GPS短基线快速定位中的少数历元算法   总被引:2,自引:0,他引:2  
研究了短基线时利用少数历元的单频GPS载波相位观测值进行快速定位的一种算法。基于TIK-HONOV正则化原理,选择了一种具有物理意义的正则化矩阵,以减弱法矩阵的病态性。新算法只需解算几个历元的单频GPS相位数据,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,用均方误差矩阵代替协方差阵,结合LAMBDA方法,可准确、快速地确定模糊度,最后得到基线向量的解。结合短基线算例,将少数历元算法与最小二乘估计的结果作了比较分析,得出了新解法的有效性。  相似文献   
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