Abstract: The optimum numerical filter is a useful mathematical tool for separating waves with a given period or eliminating short period fluctuations in a time series, including three types: low-pass filter, band-pass filter and high-pass filter.In this paper, a new formula for calculation of sinusoidal integral is presented and the optimum numerical filter is already applied in different fields of geology.

摘要： 最佳数字滤波器是分离有给定周期的波或消除时间序列中短周期波动的有效数学工具。它可分成三种类型:低通滤波器、带通滤波器和高通滤波器。 本文提出一个计算正弦积分的新公式。在不同的地质领域内使用了最佳数字滤波器。