The Nth-root stack; theory, applications, and examples
The Nth-root stack; theory, applications, and examples
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DOI：
10.1190/1.1442045
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发表时间：
1986-10
期刊：
影响因子：
3.3
通讯作者：
P. L. Mcfadden;B. Drummond;S. Kravis
中科院分区：
文献类型：
--
作者：
P. L. Mcfadden;B. Drummond;S. Kravis
多通道地球物理数据通常通过计算所有通道上观测值的平均值来堆叠。在 N 根堆栈中，每个观测值的 N 根的平均值提高到 N 次方，同时保留观测值和平均值的符号。当 N = 1 时，该过程与传统的线性叠加或平均相同。 N根叠加已应用于地震折射和远震阵列数据的处理。在一些实验和某些应用中，它不如线性堆叠，但在其他实验和某些应用中，它更优越。尽管 N 根堆栈的方差通常小于线性堆栈，但由于信号衰减，均方误差较大。信号衰减的分数以复杂的方式取决于数据通道的数量、堆栈的阶数 (N)、信噪比和噪声分布。因为信噪比在小波上是变化的，所以信号最大的地方会出现峰值，...
Multichannel geophysical data are usually stacked by calculating the average of the observations on all channels. In the Nth‐root stack, the average of the Nth root of each observation is raised to the Nth power, with the signs of the observations and average maintained. When N = 1, the process is identical to conventional linear stacking or averaging. Nth‐root stacking has been applied in the processing of seismic refraction and teleseismic array data. In some experiments and certain applications it is inferior to linear stacking, but in others it is superior. Although the variance for an Nth‐root stack is typically less than for a linear stack, the mean square error is larger, because of signal attenuation. The fractional amount by which the signal is attenuated depends in a complicated way on the number of data channels, the order (N) of the stack, the signal‐to‐noise ratio, and the noise distribution. Because the signal‐to‐noise ratio varies across a wavelet, peaking where the signal is greatest and a...