从紧凑的吸气双星中相干与符合探测引力波信号
Coherent versus coincidence detection of gravitational wave signals from compact inspiraling binaries
摘要：
比较了符合和相干两种多探测器探测无自旋螺旋压缩双星引力波信号的方法。重合策略将检测器视为孤立的-将各个检测器统计数据与其各自的阈值进行比较，而相干策略将检测器网络数据{ \it相位相干}组合以获得单个检测统计数据，然后将其与单个阈值进行比较。在地理上分离的检测器的情况下，我们还考虑了{ \it增强}的符合策略，因为通常的（天真的）符合策略对于未对准的检测器产生差的结果。为了简单起见，我们认为探测器对具有相同的功率谱密度的噪声，作为初始LIGO，也假设噪声是平稳的和高斯的。我们通过绘制两种策略的\emph{receiver operating characteristic}（ROC）来比较方法的性能。被认为是一个单一的天体物理源以及分布的来源。我们发现，在平稳高斯检测器噪声的假设下，相干策略的性能优于两个重合的策略。
英文摘要：
We compare two multi-detector detection strategies, namely, the coincidence and the coherent, for the detection of spinless inspiraling compact binary gravitational wave signals. The coincident strategy treats the detectors as if they are isolated - compares individual detector statistics with their respective thresholds while the coherent strategy combines the detector network data {\it phase coherently} to obtain a single detection statistic which is then compared with a single threshold. In the case of geographically separated detectors, we also consider an {\it enhanced} coincidence strategy because the usual (naive) coincidence strategy yields poor results for misaligned detectors. For simplicity, we consider detector pairs having the same power spectral density of noise, as that of initial LIGO and also assume the noise to be stationary and Gaussian. We compare the performances of the methods by plotting the \emph{receiver operating characteristic} (ROC) for the two strategies. A single astrophysical source as well as a distribution of sources is considered. We find that the coherent strategy performs better than the two coincident strategies under the assumptions of stationary Gaussian detector noise.
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