利用球冠谐分析拟合GPS水准高程

¹同济大学测量与国土信息工程系,上海市四平路1239号200331;²同济大学测量与国土信息工程系,上海市四平路1239号200331,现代工程测量国家测绘局重点实验室,上海市四平路1239号,200092

基金项目: 国家自然科学基金资助项目(40674003)；上海市科学技术委员会资助项目(06DZ22101)

详细信息

Application of Spherical Cap Harmonic Analysis to Fit GPS Level Height

¹Department of Surveying and Geo-informatics,Tongji University,1239 Siping Road,Shanghai 200331,China;²Key Laboratory of Advanced Engineering Survey of SBSM,1239 Siping Road,Shanghai 200092,China

Funds: 国家自然科学基金资助项目(40674003)；上海市科学技术委员会资助项目(06DZ22101)

摘要: 研究了球冠谐分析的理论基础,推导出用球冠谐分析拟合高程异常的模型,从而实现了GPS大地高和正常高之间的转换。介绍了球冠谐模型的改进模型(adjusted spherical harmonic analysis,ASHA),解决了球冠谐分析中求解非整阶Legendre函数阶数的困难。拟合结果显示,模型的内外符合精度能控制在cm级。
- GPS水准 /
- 球冠谐分析 /
- 改进的球谐分析(ASHA)
Abstract: The detailed research on theoretical foundation of SCHA is given;and the model of applying SCHA to fit GPS level height is put forward,which is to achieve the transformation between GPS geodetic height and level height.A new model to adjust the SCHA model——ASHA model is discussed.It solves the problem in SCHA model,which is there is not a good method to compute the real rank of Legendre function quickly now.The test results show that both the inside and outside precisions can be controlled in centimeter rank.
- GPS leveling /
- spherical cap harmonic analysis /
- adjusted spherical harmonic analysis