Journal of Cosmology and Astroparticle Physics ( IF 6.4 ) Pub Date : 2021-05-19 , DOI: 10.1088/1475-7516/2021/05/052 D. Poletti 1, 2, 3
Standard methodologies for the extraction of the stochastic gravitational wave background (SGWB) from auto- or cross-correlation of interferometric signals often involve the use of a filter function. The standard optimal filter maximizes the signal-to-noise ratio (SNR) between the total SGWB and the noise. We derive expressions for the optimal filter and SNR in the presence of a target SGWB plus other unwanted components. We also generalize the methodology to the case of template-free reconstruction. The formalism allows to easily perform analyses and forecasts that marginalize over foreground signals, such as the typical ΩGW∝ f2/3 background arising from binary coalescence. We demonstrate the methodology with the LISA mission and discuss possible extensions and domains ofapplication.
中文翻译:
在其他随机信号存在的情况下测量原始引力波背景
从干涉信号的自相关或互相关中提取随机引力波背景 (SGWB) 的标准方法通常涉及使用滤波器函数。标准最优滤波器最大化总 SGWB 和噪声之间的信噪比 (SNR)。我们在存在目标 SGWB 和其他不需要的分量的情况下推导出最优滤波器和 SNR 的表达式。我们还将该方法推广到无模板重建的情况。形式主义允许轻松执行边缘化前景信号的分析和预测,例如由二元合并产生的典型 Ω GW ∝ f 2/3背景。我们通过 LISA 任务演示了该方法,并讨论了可能的扩展和应用领域。