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arXiv 1907.04747gr-qcastro-ph.IM
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LISA中存在数据缺口的引力波参数估计:一种贝叶斯数据增强方法

Gravitational-wave parameter estimation with gaps in LISA: a Bayesian data augmentation method

NASA Goddard Space Flight Center(美国宇航局戈达德太空飞行中心);Artémis UMR 7250, Observatoire de la Côte d’Azur(蔚蓝海岸天文台阿尔特弥斯联合研究实验室);Laboratoire Astroparticules et Cosmologie, Université Paris Diderot(巴黎第七大学亚原子物理与宇宙学实验室)

Quentin Baghi, Ira Thorpe, Jacob Slutsky, John Baker, Tito Dal Canton, Natalia Korsakova, Nikos Karnesis

AI总结:

针对天基引力波观测台LISA数据因各类中断存在缺口、易引发噪声泄漏且计算复杂度高的问题,提出贝叶斯数据增强方法,将缺失数据作为辅助变量纳入后验采样,可高效一致处理缺口,并在银河系双星参数估计中验证了效果。

摘要:

通过观测0.1 mHz至1 Hz低频段的引力信号,未来的天基引力波观测台LISA将能够探测从宇宙黎明至今的数万个天体物理源。对所有可分辨源的探测与表征本身就是一项挑战,而干涉测量中出现的中断会使LISA数据分析进一步复杂化。这些中断由多种不同发生频率的原因导致,例如激光频率切换、高增益天线重定向、轨道修正,甚至意外随机事件。从存在缺口的数据中提取持续时间较长的引力波信号会引发噪声泄漏、计算复杂度升高等问题。我们采用贝叶斯数据增强方法解决这些问题,该方法将缺失数据作为辅助变量重新引入天体物理参数后验分布的采样过程中。这提供了一种统计上一致的缺口处理方式,同时提升了采样效率并缓解了泄漏效应。我们将该方法应用于不同缺口模式下的银河系双星参数估计,并将结果与完整数据的情况进行了对比。

英文摘要:

By listening to gravity in the low frequency band, between 0.1 mHz and 1 Hz, the future space-based gravitational-wave observatory LISA will be able to detect tens of thousands of astrophysical sources from cosmic dawn to the present. The detection and characterization of all resolvable sources is a challenge in itself, but LISA data analysis will be further complicated by interruptions occurring in the interferometric measurements. These interruptions will be due to various causes occurring at various rates, such as laser frequency switches, high-gain antenna re-pointing, orbit corrections, or even unplanned random events. Extracting long-lasting gravitational-wave signals from gapped data raises problems such as noise leakage and increased computational complexity. We address these issues by using Bayesian data augmentation, a method that reintroduces the missing data as auxiliary variables in the sampling of the posterior distribution of astrophysical parameters. This provides a statistically consistent way to handle gaps while improving the sampling efficiency and mitigating leakage effects. We apply the method to the estimation of galactic binaries parameters with different gap patterns, and we compare the results to the case of complete data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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