摘要
提出了向量的算术平均值的概念,并推导出了向量的加权平均值和向量的算术平均值的方差阵和权阵的计算公式。另外,还讨论了向量的加权平均值方差阵的计算公式在多类观测值测量数据处理和GPS载波相位相对定位测量中的应用,得到了一系列有实际应用价值的公式。并附有算例相验证。
This paper proposes the concept of arithmetic mean of vector. The formulae for calculating variance matrix and weighting matrix of the weighted average and the arithmetic mean of vector are derived. Then its applications in many kinds of surveying data processing and GPS carrier phase relative localization surveying are also discussed. Finally a series of valuable formulae in practice are obtained.
出处
《测绘科学》
CSCD
北大核心
2008年第3期130-132,共3页
Science of Surveying and Mapping
基金
现代工程测量国家测绘局重点实验室开放课题(ES-SBSM-(07)-02)
关键词
向量的加权平均值
向量的算术平均值
方差阵
权阵
weighted average of vector
arithmetic mean of vector
variance matrix
weighting matrix
