全球定位系统动态定位误差分析与建模

Analysis and modeling of the GPS dynamic position error

针对全球定位系统动态定位精度差的缺陷,采用时间序列分析方法建立了全球定位系统动态单点定位误差模型.首先采用逆序检验法检验误差序列的平稳性,然后依据样本数据的偏相关函数、自相关函数的统计特性确定误差序列为AR(10)模型,最后使用矩估计方法完成参数估计.模型适应性验证表明,全球定位系统动态单点定位误差序列可用AR(10)模型表示.将这种全球定位系统动态误差模型应用于60 km/h车速的车载全球定位系统接收机输出数据的滤波处理,实验结果表明,经纬度定位数据的均方误差减少了27%左右.

In order to improve GPS dynamic position precision, the model of the GPS dynamic position error is presented by using time series analysis. The stationarity of error series is verified through inverse serial verification firstly. The error series can be described as AR（10） based on the fact that the auto correlation function is tail-dragged and that the partial correlation is tail-truncated. The parameters are calculated using moment estimation. Adaptive verification proves that the dynamic position error can be presented by AR（10）. Applying the model to filter the output data of the GPS receiver with 60 km/h, experimental results show the mean square error can be deduced about 27%.