单点GPS定位误差建模研究

对单点GPS 定位误差进行时间序列分析，将定位误差拟合成十阶AR 模型。AR(10)模型的零极点分析结果表明模型的动态特性由一对主导极点决定，得到单点GPS 定位误差的二阶马尔可夫模型，有效提高定位精度。模型阶次的降低，减少了定位解算的复杂度和计算量，提高了系统的实时性。仿真结果显示：将GPS 定位误差拟合成二阶马尔可夫过程是合理的。
关键词：单点GPS；定位误差；建模；AR 模型；二阶Markov 模型
Abstract: GPS positioning error is modeled to be the 10-order AR model on the basis of the time series analyses. Through the frequency domain analysis of AR(10), the system dynamic characteristics is determined by the dual main poles of AR(10) model, so the single-stand GPS positioning error can be described as the 2-order Markov process. The positioning precision is improved. The low- order model makes the positioning calculation easier and quicker. Through simulation, it is reasonable that GPS positioning error is modeled to be the 2-order Markov process.
Keywords: single-stand GPS; positioning error; modeling; AR model; 2-order Markov model