用过功率方法评估用LISA的随机引力波背景的可探测性
Assessing the detectability of a Stochastic Gravitational Wave Background with LISA, using an excess of power approach
摘要：
激光干涉仪空间天线将是第一个空间引力波观测站。它计划在2030年初飞行。LISA设计预测灵敏度水平，使得能够检测随机引力波背景信号。这种随机类型的信号是来自源的签名的叠加，这些源不能单独解析，并且具有各种类型，每个类型都具有不同的频谱形状。在这项工作中，我们提出了一种快速的方法来评估一组频率箱中的平稳，高斯和各向同性随机信号的可检测性，结合来自可用数据通道的信息。我们推导出一个解析表达式的贝叶斯因子之间的仪器噪声和信号加仪器噪声模型，使我们能够计算一个给定的信号的可检测性界限，作为一个函数的频率和先验知识的仪器噪声谱。
英文摘要：
The Laser Interferometer Space Antenna will be the first Gravitational Wave observatory in space. It is scheduled to fly in the early 2030's. LISA design predicts sensitivity levels that enable the detection a Stochastic Gravitational Wave Background signal. This stochastic type of signal is a superposition of signatures from sources that cannot be resolved individually and which are of various types, each one contributing with a different spectral shape. In this work we present a fast methodology to assess the detectability of a stationary, Gaussian, and isotropic stochastic signal in a set of frequency bins, combining information from the available data channels. We derive an analytic expression of the Bayes Factor between the instrumental noise-only and the signal plus instrumental noise models, that allows us to compute the detectability bounds of a given signal, as a function of frequency and prior knowledge on the instrumental noise spectrum.
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