摘要
相位模糊度的成功解算是应用单频接收机进行高精度快速定位的关键。为了提高整周模糊度解算成功率,本文提出了一种新的算法,包括两项措施:(1)针对仅由几个历元组成的双差法方程系数阵存在着较严重病态性的结构特性,合理设计正则化矩阵,并在此基础上运用截断奇异值法求解模糊度实数解,使模糊度实数解更稳定和可靠,接近真实值;(2)在用最小二乘降相关平差(Least-squaresambiguitydecorrelationadjustment,LAMBDA)方法进行模糊度搜索时,在Ratio检验的基础上,应用2个分析和比较的准则,对输出的多组候选整数模糊度向量进行分析和比较,甄别出正确的整数模糊度向量。算例表明,新方法不但缩短了模糊度解算所需要的观测时间,提高了模糊度实数解的可靠性和精度,而且显著地提高了整周模糊度解算的成功率。本文为单频接收机在高精度快速动态定位甚至实时定位等方面的广泛应用,提供了新的研究思路。
The correct resolution of GPS phase ambiguity is the key to implement high precision fast positioning by using single frequency receivers. In order to improve the success rate of ambiguity resolution, a new method consisted of two procedures is suggested: (1) A special regularization matrix is designed based on structure characteristics of the normal matrix formed within several epoches only; (2) The truncate singular value method is used to achieve the ambiguity float solution. It is much steady and reliable to estimate the ambiguity float solutions. Results are close to the correct value than the least-squares solution. Secondly, among the multiple integer-vector candidates exported by the least-squares ambiguity decorrelation adjustment (LAMBDA) method, the fixed ambiguities are further validated by analyses and comparisons. Besides the ratio test, the other multiple criterions are utilized to identify the correct ambiguity integer-vector from the candidates. Experimental example shows that the application of the new method reduces the field observation time desired by the ambiguity resolution, and evidently improves the success rate of the ambiguity resolution. Therefore, this paper brings forward a new study way for GPS single frequency receiver to implement high precision fast positioning.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2005年第3期279-283,共5页
Journal of Nanjing University of Aeronautics & Astronautics
基金
国家自然科学基金(40474009
40204001)资助项目
中国科学院知识创新工程领域前沿(030185)资助项目。
关键词
GPS相位模糊度
成功率
病态问题
正则化截断奇异值解
GPS carrier phase ambiguity
success rate
ill-conditioned problems
regularization truncate singular value
