改进LAMBDA算法实现单频GPS整周模糊度快速解算  

Fast resolution of single frequency GPS integer ambiguity realized by improved LAMBDA algorithm

作　　者：李豹[1] 许江宁[1] 曹可劲[1] 朱银兵[1] 

机构地区：[1]海军工程大学导航工程系,武汉430033

出　　处：《中国惯性技术学报》2013年第3期365-368,共4页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金项目(61004126);总装十二五预研项目(51324040103)

摘　　要：利用单频GPS载波相位差分技术进行动态精密测量时,由于观测历元少,经典LAMBDA算法会出现法矩阵病态导致整周模糊度无法求解。针对这一问题研究了基于TIKHONOV正则化原理的改进LAMBDA算法。通过对双差观测方程系数矩阵进行奇异值分解选取正则化矩阵,改善了法矩阵的病态性,获得了更高精度的浮点解。利用均方误差矩阵替代协方差阵进行LAMBDA求解,提高了模糊度求解的速度和成功率。对连续100组5个历元实测数据计算表明:与原算法相比,改进LAMBDA算法求得的浮点模糊度偏差从36.48周减小到4.08周,搜索效率和成功率分别改进97.74%和100%。When single-frequency GPS carrier phase differential technology is used in dynamic and precise measurement, the normal matrix becomes ill-condition and LAMBDA algorithm can’t work due to less observable epochs. In this paper, an improved LAMBDA algorithm based on regularization decomposing was studied in order to solve the problem. The regularization matrix, which was acquired by singular value decomposition of coefficient matrix, was used to improve the ill-condition of normal matrix and the precision of float solution. LAMBDA algorithm, by using mean square error matrix instead of covariance matrix, can improve the speed and success ratio of the integer ambiguity resolution. The continuous 100 calculation of five epochs’ experiment data show that, compared with the old LAMBDA algorithm, the improved algorithm has reduced the bias of float ambiguity to 4.08 cycles from the original 36.48 cycles, and has improved the efficiency and success ratio of search to 97.74% and 100% respectively.

关 键 词：GPS 整周模糊度 快速解算 正则化 

分 类 号：TN967.1[电子电信—信号与信息处理]