位场波数域转换算法误差方程及其应用(英文)

偏移抽样理论是本文作者建立的更普遍的傅立叶变换数值计算的理论. 基于这一理论,作者在现文中导出了位场波数域转换算法误差方程,该方程不仅给出了更灵活的位场波数域转换算法,而且揭示了位场波数域转换中的误差规律.源于该方程的DFT0η η(0.5,0.5)化极技术可以大大提高低纬度(包括磁赤道)化极磁异常的分辨率和精度.该方程所揭示的波数域位场高通转换中边缘振荡的规律性(来源、形成机理和基本性质),从理论上指出了改善现有高通转换位场数据拓边技术效果的途径.

A-E equation of potential field transformations in the wavenumber domain and its application

A shift sampling theory established by author (1997a) is a generalization of Fourier transform computation theory. Based on this theory, I develop an Algorithm-Error (A-E) equation of potential field transformations in the wavenumber domain, which not only gives a more flexible algorithm of potential field transformations, but also reveals the law of error of potential field transformations in the wavenumber domain. The DFT_0η η (0.5, 0.5) reduction-to-pole (RTP) technique derived from the A-E equation significantly improves the resolution and accuracy of RTP anomalies at low magnetic latitudes, including the magnetic equator. The law (origin, form mechanism, and essential properties) of the edge oscillation revealed by the A-E equation points out theoretically a way of improving the effect of existing padding methods in high-pass transformations in the wavenumber domain.