Some aspects of fan filtering

Some aspects of fan filtering
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DOI:
10.1190/1.1439889
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发表时间:
1967-10
期刊:
影响因子:
3.3
通讯作者:
S. Treitel;J. Shanks;C. Frasier
S. Treitel;J. Shanks;C. Frasier
中科院分区:
地球科学2区
文献类型:
--
作者:
S. Treitel;J. Shanks;C. Frasier

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在数字计算机上,经典的风扇过滤方法可能很耗时。这是因为必须对一组M个输入道执行M/2卷积才能获得一个输出道,其中M是任意方便的偶数。可以将滤波方程式处理成不同的形式,使得每个输出轨迹只需要一个卷积,而不管M的值可能是什么。以这种方式找到的算法可以很容易地为数字计算机编程。传统的扇形滤波技术只允许人们通过那些视速度落在(频率,波数)或(f,k)平面中某个扇形区域内的事件。在某些应用中,需要执行互补运算;也就是说,我们希望剔除视速度落在(f,k)平面的扇形区域内的那些事件。这两种操作分别称为风扇通过过滤和风扇抑制过滤。我们推导出公式,使人们可以计算……
The classical fan filtering method can be time‐consuming on the digital computer. This is because one must perform M/2 convolutions on a set of M input traces in order to obtain one output trace, where M is any convenient even integer. It is possible to manipulate the filter equations into a different form such that only one convolution per output trace is required, no matter what the value of M may be. The algorithm found in this manner can easily be programmed for a digital computer. The conventional fan filtering technique allows one to pass only those events whose apparent velocities fall within a certain fan‐shaped region in the (frequency, wavenumber), or (f, k) plane. In some applications it becomes desirable to perform the complementary operation; that is, we wish to reject those events whose apparent velocities fall within this fan‐shaped region in the (f, k) plane. These two operations are called fan pass and fan reject filtering, respectively. We derive the formulas allowing one to compute the ...