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．
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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1996年第S1期196-204,共9页
Chinese Journal of Geophysics
