多门限值修正法及其在测量中的应用

The Method of Various Threshold Values of SVD and it's Application in Geodesy

病态性在测量数据处理等许多工程领域中大量存在。如在GPS快速静态定位数据处理中,由于采样间隔小,结果使数据信息不足造成计阵病态、致使未知参数的最小二乘估计偏差太大且不稳定。本文在研究了以往有偏估计法及病态模型直接解算法的基础上,提出一种基于SVD的直接解算法———多门限值修正法。试验证明该法对于病态模型有较好的解算效果。

the ill-conditioned problems are widely being in the Geodesy and other engineering fields , take GPS rapid static positioning for example , because of the tiny time intervals , the design matrix is ill-conditioned for accepting no enough data information. The paper proposed a method, that is various threshold values of SVD . Tests suggested this method can well solve the ill-conditioned problems in Geodesy.