为了确定对流层延迟参数的自相关性及其与坐标参数的互相关性,本文研究采用随机卡尔曼滤波进行精密单点定位解算。根据自相关原理计算出对流层天顶延迟误差的自相关函数,采用4种经验函数模型分别对自相关函数进行拟合,结果表明exponential-COS为最佳拟合模型;对对流层天顶延迟误差与坐标垂直分量误差的互相关性进行了分析,结果表明二者显著负线性相关;坐标垂直分量误差波动幅度是对流层天顶延迟误差波动幅度的4倍左右;卫星截止高度角越低,参数相关性越强。
In order to determine the autocorrelation of tropospheric delay parameters and the cross-correlation between the tropo- spheric delay parameters and the coordinate parameters, stochastic Kalman filter was used to process the data in precision point positio- ning in the paper. Antocorrelation functions of tropospheric zenith delay errors were calculated according to the autocorrelation princi- ples. Four kinds of empirical function models were tested respectively to fit to the autocorrelation functions, the results showed that the exponential-cos could be the best fitting model. Cross-Correlation analysis was conducted on the errors of tropospheric zenith delay and coordinate vertical component, the results showed that they are significant negative linear correlation. The fluctuation amplitude of er- rors in coordinate vertical component is about 4 times than that in tropospheric zenith delay. The lower cutoff elevation angle results in the stronger correlation of the parameters.