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首页> 外文期刊>Bulletin of the Seismological Society of America >Variance reduction and signal-to-noise ratio: Reducing uncertainty in spectral ratios
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Variance reduction and signal-to-noise ratio: Reducing uncertainty in spectral ratios

机译:方差降低和信噪比:降低频谱比的不确定性

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摘要

This paper uses an unusually large dataset to study scatter in site-effect estimation, focusing on how the events that increase uncertainty can be removed from the dataset. Four hundred seventy-three weak motion earthquake records from the surface and bedrock of a 178-m-deep borehole in Aegion, Gulf of Corinth, Greece, are used to evaluate spectral ratios. A simple statistical tool, variance reduction (VR), is first used to identify two groups of events that lie closest and farthest from the average, which is considered here as the initial best estimate of the site response. The scatter in the original dataset is found to be due to the group of events with smallest VR. These events can be removed from the dataset in order to compute a more reliable site response. However, VR is not normally used to choose records for siteeffect studies, and it cannot be applied to the usual small datasets available. The signal-to-noise ratio (SNR) is normally used to this end, for which reason we investigate whether SNR can be used to achieve similar results as VR. Signal-to-noise ratio is estimated using different definitions. Data selection based on SNR is then compared to that using VR in order to define an SNR-based criterion that discriminates against events that, according to VR, increase scatter. We find that defining the SNR of a surface record as the mean value over a frequency range around the resonant peak (here, 0.5-1.5 Hz) and using a cutoff value of 5 may be used in this case to exclude most events for which VR is small. This process is also applied to the downhole station, where we obtain similar results for a cutoff value of 3.
机译:本文使用一个异常大的数据集来研究站点效果估计中的分散性,重点是如何从数据集中删除增加不确定性的事件。来自希腊科林斯湾Aegion 178米深钻孔的地表和基岩的473次弱运动地震记录用于评估频谱比。首先使用一种简单的统计工具,即方差减少(VR)来识别距平均值最近和最远的两组事件,此处将其视为站点响应的初始最佳估计。发现原始数据集中的散布归因于VR最小的事件组。可以从数据集中删除这些事件,以便计算更可靠的站点响应。但是,VR通常不用于选择站点效果研究的记录,也不能应用于通常可用的小型数据集。为此,通常使用信噪比(SNR),因此我们调查了是否可以使用SNR来获得与VR类似的结果。使用不同的定义估算信噪比。然后将基于SNR的数据选择与使用VR的数据选择进行比较,以定义基于SNR的标准,该标准可区分根据VR增加散布的事件。我们发现,在这种情况下,可以使用将表面记录的SNR定义为共振峰周围某个频率范围(此处为0.5-1.5 Hz)上的平均值,并使用5的截止值来排除大多数VR事件。是小。此过程也适用于井下站,在该站中,对于截止值为3,我们获得了类似的结果。

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