候选引力波信号跟踪的贝叶斯方法
A Bayesian approach to the follow-up of candidate gravitational wave signals
摘要:
地基引力波激光干涉仪(LIGO、GEO-600、Virgo和Tama-300)现已达到高灵敏度和占空比。我们提出了一个贝叶斯证据为基础的方法来搜索引力波,特别是针对后续的候选事件产生的分析管道。我们介绍并证明了一种有效的方法来计算不同模型之间的证据和比值比,并说明这种方法使用的具体情况下产生的引力波信号在螺旋阶段的二元系统,建模在领先的四极牛顿秩序,在合成噪声。我们表明,该方法是有效的检测信号的检测阈值,它是强大的对(某些类型的)仪器文物。该方法的计算效率使其可扩展到分析由分析管道生成的所有触发器的分析,以在使用地基干涉仪的调查中搜索合并二进制,以及以大量参数为特征的各种信号波形。
英文摘要:
Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular aimed at the followup of candidate events generated by the analysis pipeline. We introduce and demonstrate an efficient method to compute the evidence and odds ratio between different models, and illustrate this approach using the specific case of the gravitational wave signal generated during the inspiral phase of binary systems, modelled at the leading quadrupole Newtonian order, in synthetic noise. We show that the method is effective in detecting signals at the detection threshold and it is robust against (some types of) instrumental artefacts. The computational efficiency of this method makes it scalable to the analysis of all the triggers generated by the analysis pipelines to search for coalescing binaries in surveys with ground-based interferometers, and to a whole variety of signal waveforms, characterised by a larger number of parameters.
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