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arXiv 0804.4816gr-qc
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引力波有效符合探测的几何算法

A geometric algorithm for efficient coincident detection of gravitational waves

C. A. K. Robinson, B. S. Sathyaprakash, Anand S. Sengupta

摘要:

来自引力波探测器网络的数据可以同时进行分析,以增加探测置信度并减少背景的非平稳性。我们提出并探索了一种几何算法来结合来自探测器网络的数据。该算法使最佳利用的方差和协方差之间存在的不同参数的信号中的事件的重合检测。新算法本质上与协方差矩阵定义的参数空间中的每个触发椭球区域相关联。如果来自不同探测器的触发器的椭球具有非零重叠,则它们被认为是重合的。与对每个信号参数分别使用不相关窗口的算法相比,新算法大大降低了背景率,从而在给定的虚警率下提高了检测效率。

英文摘要:

Data from a network of gravitational wave detectors can be analyzed in coincidence to increase detection confidence and reduce non-stationarity of the background. We propose and explore a geometric algorithm to combine the data from a network of detectors. The algorithm makes optimal use of the variances and covariances that exist amongst the different parameters of a signal in a coincident detection of events. The new algorithm essentially associates with each trigger ellipsoidal regions in parameter space defined by the covariance matrix. Triggers from different detectors are deemed to be in coincidence if their ellipsoids have a non-zero overlap. Compared to an algorithm that uses uncorrelated windows separately for each of the signal parameters, the new algorithm greatly reduces the background rate thereby increasing detection efficiency at a given false alarm rate.

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