一种顾及起算数据误差的非线性参数平差新解算  

New Algorithm Model of Nonlinear Parameters Adjustment with Initiative Data Error

作　　者：宁伟[1] 陶华学[2] 卿熙宏[2] 

机构地区：[1]山东农业大学信息工程学院,山东泰安271000 [2]山东科技大学地科学院,山东泰安271019

出　　处：《勘察科学技术》2005年第5期23-25,共3页Site Investigation Science and Technology

基　　金：国家自然科学基金资助项目(40174003);山东农业大学博士基金资助项目

摘　　要：基于平差模型的非线性函数误差方程,利用广义最小二乘原理,给出了一种新的顾及起算数据误差的参数平差模型,与将起算数据视为无误差的一般非线性测量参数平差解算,或虽考虑起算数据误差,但基于线性误差方程形式,将其与观测值一起进行整体平差的方法相比,在理论和方法上都有较大创新。Based on nonlinear error equations of adjustment functions model, and making use of the theory of generalized least squares, this paper gives a new adjustment model by parameters model with initial data error. Compared with those methods such as common nonlinear surveying and mapping adjustment by parameters with initiative data error ignored or methods which consider initiative data errors and base on linear error equations, and treat these initiative data with error as observed values to estimate unknown parameters along with practical observed values, the new algorithm has great innovation in theory and method.

关 键 词：起始数据误差 广义最小二乘 参数估计 起算数据误差 非线性函数 参数平差 解算 广义最小二乘原理 误差方程 平差模型 非线性测量 整体平差 

分 类 号：P207.2[天文地球—测绘科学与技术]