基于等价观测理论的序贯平差模型

Sequential Least Square Model Based on the Theory of Equivalent Observation

介绍了等价观测理论的基本概念,在此基础上,推导了基于等价观测理论的序贯平差模型。推导过程主要分两步进行:先将前期平差求出的参数估值看成虚拟观测值,参数估值的协因数阵视为观测值的权逆阵,列出虚拟观测方程;后将虚拟观测方程和后期的误差方程一起进行平差,求出参数的估值,从而得到了和传统序贯平差模型等价的数学模型。

The theory of equivalent observation is briefly intro duced first in this paper,and on the basis of the mentioned theory,another but equivalent model of sequential least square model is proposed.The new model comes from two main following steps： first,last-epoch estimated parameters and their covariance are seen as virtual observations and corresponding variance of cur rent-epoch parameters,so virtual observation equations can be formed immediately;then,the virtual equations are combined with current-epoch observation equations to estimate cur rent-epoch parameters using least square method.