| 一种基于Helmert方差分量估计的岭参数确定方法 |
| |
| 引用本文： | 戴吾蛟,冯光财,朱建军.一种基于Helmert方差分量估计的岭参数确定方法[J].大地测量与地球动力学,2006,26(4):30-33. |
| |
| 作者姓名： | 戴吾蛟 冯光财 朱建军 |
| |
| 作者单位： | 中南大学测绘与国土信息工程系,长沙,410083 |
| |
| 摘 要： | 为了使岭参数具有一个明确的含义,提出了一种基于Helm ert方差分量估计的岭参数确定方法。该方法把约束条件作为一类参数之间互相独立的虚拟观测,从而把岭参数转变为两类观测值的权比,然后用Helm ert方差分量估计的方法确定岭参数。通过算例,比较了该方法与岭迹法、L曲线法的效果。结果表明,该方法不仅计算过程简单、直接,而且精度也优于其他几种方法。
|
| 关 键 词： | 病态问题 岭估计 Tikhonov正则原理 虚拟观测 Helmert方差估计法 |
| 文章编号： | 1671-5942(2006)04-0030-04 |
| 修稿时间： | 2006年3月18日 |
A METHOD FOR SELECTING RIDGE PARAMETER BASED ON HELMERT VARIANCE COMPONENTS ESTIMATION |
| |
| Dai Wujiao,Feng Guangcai,Zhu Jianjun.A METHOD FOR SELECTING RIDGE PARAMETER BASED ON HELMERT VARIANCE COMPONENTS ESTIMATION[J].Journal of Geodesy and Geodynamics,2006,26(4):30-33. |
| |
| Authors: | Dai Wujiao Feng Guangcai Zhu Jianjun |
| |
| Abstract: | A method for selecting ridge parameter based on Helmert variance components estimation has been developed in order that the ridge parameter has a definite meaning.Since the constraint is taken as the virtual observations,the ridge parameter is transformed to weight ratio of the two types of observations,and then the ridge parameter can be selected with the Helmert variance components estimation method.This method is compared with ridge track method and L curve method in a real example.The result shows that the Helmert method is not only simpler but also more precise than the others. |
| |
| Keywords: | ill-conditioned problem ridge estimation Tikhonov regularization theorem virtual observation Helmert variance components estimation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
