| 用样条函数对地球重力场进行Fourier分析 |
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| 引用本文： | 刘权威,边少峰.用样条函数对地球重力场进行Fourier分析[J].地球物理学报,1996,39(Z1):196-204. |
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| 作者姓名： | 刘权威 边少峰 |
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| 作者单位： | 1. 太原工业大学. 太原 030024;
2. 郑州侧绘学院. 郑州 450052 |
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| 摘 要： | Ｆｏｕｒｉｅｒ分析在地球重力场逼近中得到了越来越广泛的应用，然而传统的重力点异常或平均异常准确度和收敛性都较差．本文以Ｂ样条作为基函数揭示了函数光滑度与Ｆｏｕｒｉｅｒ分析收敛阶的内在联系，改善了Ｆｏｕｒｉｅｒ分析的收敛性，数值结果初步表明了理论分析的正确性．
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| 关 键 词： | Fourier分析 地球重力场 样条函数 |
| 收稿时间： | 1995-08-14 |
FOURIER ANALYSIS IN THE EARTH'S GRAVITY FLELD USING THE SPLINES |
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| LIU QUAN-WEI,BIAN SHAO-FEN.FOURIER ANALYSIS IN THE EARTH'S GRAVITY FLELD USING THE SPLINES[J].Chinese Journal of Geophysics,1996,39(Z1):196-204. |
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| Authors: | LIU QUAN-WEI BIAN SHAO-FEN |
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| Institution: | 1. Taiyuan University of Technology, Taiyuan 030024;
2. Zhengzhou Institute of Sureying and Mapping, Zhengzhou 450052 |
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| Abstract: | Fourier analysis has been found more and more applications in the physical geodesy. Typical Point and mean anomalies, however, may lead to a low convergent speed and low accuracy in practice. B-splines is chosen as base functions, the relationship between function's smoothess and its Fourier coefficient's convergent speed is revealed, and then its convergence is improved .Numerical evaluation on some theoretical model and actual data also show good agreement with that expected in the theoretical in vestigation. |
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| Keywords: | Fourier analysis Earth's gravity field Spline function |
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