Resolution performance of Wiener filters
Resolution performance of Wiener filters
复制标题
维纳滤波器的分辨率性能
DOI：
10.1190/1.1441517
复制
发表时间：
1983
期刊：
影响因子：
3.3
通讯作者：
D. R. Martinez
中科院分区：
文献类型：
--
作者：
S. Bickel;D. R. Martinez
当将维纳滤波器应用于地震数据时，噪声的带宽沿着信号的带宽而增加。因此，信噪比降低。为了减少信号的模糊性，通常的做法是预处理维纳滤波器。预白化滤波器提高了输出信号与环境噪声比，但降低了分辨率。分辨事件之间的时间分离的能力由分辨时间常数确定，我们将分辨时间常数定义为来自滤波器的信号能量与峰值信号功率的比率。对于未滤波的小波，分辨率时间常数变成Widess（1982）最近描述的分辨率的倒数。对于匹配滤波器信号，分辨率时间常数可以被视为信号的频率跨度的倒数。分辨率时间常数定义有两个主要优点，它包含了滤波的效果;并且通过假设滤波器是维纳滤波器，它很容易推广到包含噪声的效果。对于给定的噪声量，维纳滤波器是匹配滤波器的推广。海洋地震子波演示了如何降低噪声水平提高维纳滤波器相对于匹配滤波器的分辨率。对于这些小波，达到收益递减点，使得为了实现分辨率的进一步小的增加，需要输入信噪比的大的增加以在输出处保持可解释的信息。修改期刊摘要。
When Wiener filters are applied to seismic data, the bandwidth of noise increases along with the bandwidth of the signal. Thus the signal-to-noise ratio is degraded. To reduce signal ambiguity it is common practice to prewhiten the Wiener filter. Prewhitening the filter improves the output signal-to-ambient noise ratio, but reduces resolution. The ability to resolve the temporal separation between events is determined by the resolution time constant which we define as the ratio of signal energy to peak signal power from the filter. For unfiltered wavelets the resolution time constant becomes the reciprocal of resolving power recently described by Widess (1982). For matched filter signals the resolution time constant can be regarded as the inverse of the frequency span of the signal. The resolution time constant definition has two major advantages, it incorporates the effect of filtering; and it is easily generalized to incorporate the effects of noise by assuming that the filter is a Wiener filter. For a given amount of noise the Wiener filter is a generalization of the matched filter. Marine seismic wavelets demonstrate how reducing the noise level improves the resolution of a Wiener filter relative to a matched filter. For these wavelets a point of diminishing return is reached, such that, to realize a further small increase in resolution, a large increase in input signal-to-noise ratio is required to maintain interpretable information at the output.--Modified journal abstract.