GPS網形穩健度分析研究

A Study of Robustness Analysis of GPS Networks

李旭志(Hsu-Chih Lee) ； 高書屏(Szu-Pyng Kao) ； 許榮欣(Ronghin Hsu)

《測量工程》 49卷1&2期 (2007/06) Pp. 19-35

https://doi.org/10.29983/JSE.200706.0002

摘要

穩健度分析是結合可靠度分析及彈性力學中應變分析理論的技術，利用尺度、形狀及局部微旋轉等獨立的變形指標來檢驗點位及網形的穩健度。本文進一步推導穩健度理論方程式，以了解多餘觀測數與穩健度的關係。文中亦提出最大移位向量法(MDVA)，以簡化及精進計算程序，並透過統計方法來檢驗不同方法所計算出的變形指標，對一測量網而言在統計上是否具有等值性。除此，爲了改進網形之穩健度，本文亦提出多種方法來探討對其網形穩健度之影響。本文以台灣中西部一、二等GPS網來測試前述理論推導與分析結果，本研究提出之方法對提昇整個台灣GPS控制網之穩健度有很大助益。

關鍵字

穩健度分析 ； 最大移位向量法 ； 多餘觀測數

並列摘要

Robustness analysis is a natural merger of reliability analysis and geometrical strength analysis using strain techniques. This analysis provides a more complete and detailed description of a network's deformation because it takes into account three independent deformation measures: robustness in scale, shape and local rotation. In this paper, the Maximum-Displacement-Vector Approach (MDVA) is presented to simplify the computation of these deformation measures. To discern the features of one approach from the other, the equivalence test is proposed to examine a network as a whole for the statistical equalities between two sets of deformation measures generated by individual approaches. To verify the relationship between the redundancies of the observations and those of the deformations, we expanded the deformation vector equation. Several methods have been used in this study to improve the level of robustness. We tested robustness analysis technique by applying it to the second-order GPS network in the mid-western region of Taiwan. The results obtained from this study reveal that those methods significantly improve the robustness level of the Taiwan GPS network.

並列關鍵字

Robustness analysis ； Maximum displacement vector approach ； Redundancy