连续引力波分层探测的滑动相干窗技术
Sliding coherence window technique for hierarchical detection of continuous gravitational waves
摘要：
提出了一种新的分层搜索技术，用于全天巡天连续引力波源，如快速旋转的非轴对称中子星。使用完全相干匹配滤波在参数空间的实际范围内分析长达一年的探测器数据集在计算上是禁止的。因此，更有效的所谓分层技术是必不可少的。传统上，标准的分层方法包括将数据划分为不重叠的段，每个段进行相干分析，随后将所有段的匹配滤波器输出进行非相干组合。本工作建议将数据分解为比所需最大相干时间跨度（相干窗口的大小）更短的子段。然后，通过在时间上滑动相干窗口来有效地组合来自不同子段的匹配滤波器输出：时间戳比相干窗口大小更接近的子段被相干地组合，否则被非相干地组合。与相同相干时间基线的标准方案相比，必须分析长约50-100%的数据集，以实现与滑动相干窗口方法相同的搜索灵敏度。数值模拟证明了分析估计的改善。
英文摘要：
A novel hierarchical search technique is presented for all-sky surveys for continuous gravitational-wave sources, such as rapidly spinning nonaxisymmetric neutron stars. Analyzing yearlong detector data sets over realistic ranges of parameter space using fully coherent matched-filtering is computationally prohibitive. Thus more efficient, so-called hierarchical techniques are essential. Traditionally, the standard hierarchical approach consists of dividing the data into nonoverlapping segments of which each is coherently analyzed and subsequently the matched-filter outputs from all segments are combined incoherently. The present work proposes to break the data into subsegments shorter than the desired maximum coherence time span (size of the coherence window). Then matched-filter outputs from the different subsegments are efficiently combined by sliding the coherence window in time: Subsegments whose timestamps are closer than coherence window size are combined coherently, otherwise incoherently. Compared to the standard scheme at the same coherence time baseline, data sets longer by about 50-100% would have to be analyzed to achieve the same search sensitivity as with the sliding coherence window approach. Numerical simulations attest to the analytically estimated improvement.
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