自适应拟合推估法及其在GPS高程拟合中的应用  

Adaptive collocation method and its application in GPS height fitting

作　　者：李成仁[1] 岳东杰[1] 于双[1] 

机构地区：[1]河海大学测绘科学与工程系,南京210098

出　　处：《工程勘察》2013年第3期60-62,73,共4页Geotechnical Investigation & Surveying

基　　金：国家自然科学基金资助项目(51079053)

摘　　要：应用拟合推估法进行GPS高程拟合时,难以确保观测噪声协方差与信号协方差之间的协调,致使拟合推估解存在偏差。本文提出一种基于Helmert方差分量估计的自适应拟合推估法,通过自适应因子α合理调整观测噪声协方差与信号协方差之间的权比,提高拟合推估的精度。通过实例计算与分析,验证了自适应拟合推估的有效性,并探讨了不同的观测噪声初始方差对解算结果的影响。In the application of collocation method for GPS height fitting, it is difficult to properly determine the weight ratio between the observation noise and stochastic signal, causing some deviation in the result. This paper adopts the adaptive collocation method based on Helmert variance component estimation, modulating the proportion of the stochastic signal and observation noise with an adaptive factor to improve the precision. Finally, a real example verifies the adaptive collocation method is effective, and also used to explore the effects of different initial observation noise variance on the result.

关 键 词：拟合推估 自适应因子 方差分量估计 GPS高程拟合 协方差函数 

分 类 号：P228.4[天文地球—大地测量学与测量工程]