平面监测网的动态滤波

The Use of Kalman Filtering in Plane Monitoring Networks

在假定形变区域为分块连续弹性体的基础上,本文提出一个所谓虚拟形变速率参数形变模型,由它的特例可推出常见的单点位移形变模型。之后又讨论和研究了平面监测网的观测数据滤波问题,设计出一个虚拟形变速率参数卡尔曼滤波器,具体做了这几项工作:(1)在所提出的形变模型下,推导出平面监测网的状态方程;(2)解决了初始状态及其方差阵的估计问题;(3)在极大似然的原则下,得到了动态噪声方差阵的逐次修正公式。在对两个模拟网的几种不同方案进行试算之后,本文提出了几点结论和建议。

Based on the hypothesis that deformation district is formed with several blocks ofelastic deformation bodies, a more general deformation model is proposed, and on thisoccasion, the state equation of plane monitoring network is given. The problem ofinitial state parameters and their variance matrix is solved in this paper. Under theprinciple of maximum-likelihood, the formula of variance of dynemic noise isobtained, which is corrected in every stage. After computing and analysing some plans,some useful conclusions and suggestions are given in the paper.