标题： 在桑地亚诺地下研究设施的地震地下阵列中的维纳滤波 显示英文标题

标题： Wiener filtering with a seismic underground array at the Sanford Underground Research Facility

摘要： 在南达科他州的前霍姆斯塔克矿井中的桑福德地下研究设施部署了一个地震阵列，用于研究地下地震环境。这包括探索在地下建造第三代引力波探测器的优势。这些探测器的一个主要噪声源是牛顿噪声，这是由局部重力场波动引起的。希望结合低噪声地震环境和使用探测器附近地震仪进行相干噪声减法，可以将牛顿噪声抑制到未来引力波探测器预期噪声水平以下。在本文中，我们使用维纳滤波技术在0.05 - 1赫兹频率范围内减去地震阵列中的相干噪声。这在该频段的大部分范围内实现了数量级以上的噪声消除。我们展示了这种减法如何有利于未来的低频引力波探测器。分析了维纳滤波系数在一天内的变化情况，包括局部活动如何影响滤波器。我们还研究了系数在一个月内的变化情况，展示了滤波器随时间的稳定性。还探讨了改变滤波器阶数对减法性能的影响。结果表明，优化滤波器阶数可以显著提高地震噪声的减法效果，这为未来引力波探测器应对牛顿噪声带来了希望。 显示英文摘要

摘要： A seismic array has been deployed at the Sanford Underground Research Facility in the former Homestake mine, South Dakota, to study the underground seismic environment. This includes exploring the advantages of constructing a third-generation gravitational-wave detector underground. A major noise source for these detectors would be Newtonian noise, which is induced by fluctuations in the local gravitational field. The hope is that a combination of a low-noise seismic environment and coherent noise subtraction using seismometers in the vicinity of the detector could suppress the Newtonian noise to below the projected noise floor for future gravitational-wave detectors. In this paper, we use Wiener filtering techniques to subtract coherent noise in a seismic array in the frequency band 0.05 -- 1\,Hz. This achieves more than an order of magnitude noise cancellation over a majority of this band. We show how this subtraction would benefit proposed future low-frequency gravitational wave detectors. The variation in the Wiener filter coefficients over the course of the day, including how local activities impact the filter, is analyzed. We also study the variation in coefficients over the course of a month, showing the stability of the filter with time. How varying the filter order affects the subtraction performance is also explored. It is shown that optimizing filter order can significantly improve subtraction of seismic noise, which gives hope for future gravitational-wave detectors to address Newtonian noise.