OPTIMAL STRATEGIES FOR CONTINUOUS GRAVITATIONAL WAVE DETECTION IN PULSAR TIMING ARRAYS
OPTIMAL STRATEGIES FOR CONTINUOUS GRAVITATIONAL WAVE DETECTION IN PULSAR TIMING ARRAYS
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DOI：
10.1088/0004-637x/756/2/175
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发表时间：
2012-04
期刊：
影响因子：
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通讯作者：
J. Ellis;X. Siemens;J. Creighton
中科院分区：
文献类型：
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作者：
J. Ellis;X. Siemens;J. Creighton
超大质量黑洞双星（SMBHB）预计会在脉冲星定时阵列（PTA）频段（10−9 至 10−7 Hz）发射连续引力波信号。旨在有效检测和表征这些信号的数据分析技术的发展对于引力波检测工作至关重要。在本文中，我们利用为 LIGO 连续波引力搜索开发的方法，并探索在脉冲星计时数据中使用 β 统计进行此类搜索。 Babak 和 Sesana 在 PTA 背景下使用了这种方法，以表明可以解析天空中的多个 SMBHB 源。我们的工作改进了先前为 PTA 数据分析开发的连续波搜索方法的几个方面。该算法完全在时域中实现，自然地处理了PTA数据典型的不规则采样，并避免了与频域方法相关的频谱泄漏问题。我们考虑了时序模型的拟合，并概括了我们处理相关和不相关有色噪声源的方法。我们还开发了一种不相干的检测统计数据，可以最大化所有依赖于脉冲星的可能性的贡献。为了测试我们的检测统计数据的有效性和灵敏度，我们进行了多次蒙特卡罗模拟。我们为各种配置的 PTA 制作灵敏度曲线，并概述了功能齐全的数据分析管道的实施。最后，我们提出了脉冲星位置处引力波相位最大化似然的推导，这导致搜索参数空间的极大减少。
Supermassive black hole binaries (SMBHBs) are expected to emit a continuous gravitational wave signal in the pulsar timing array (PTA) frequency band (10−9 to 10−7 Hz). The development of data analysis techniques aimed at efficient detection and characterization of these signals is critical to the gravitational wave detection effort. In this paper, we leverage methods developed for LIGO continuous wave gravitational searches and explore the use of the -statistic for such searches in pulsar timing data. Babak & Sesana have used this approach in the context of PTAs to show that one can resolve multiple SMBHB sources in the sky. Our work improves on several aspects of prior continuous wave search methods developed for PTA data analysis. The algorithm is implemented fully in the time domain, which naturally deals with the irregular sampling typical of PTA data and avoids spectral leakage problems associated with frequency domain methods. We take into account the fitting of the timing model and have generalized our approach to deal with both correlated and uncorrelated colored noise sources. We also develop an incoherent detection statistic that maximizes over all pulsar-dependent contributions to the likelihood. To test the effectiveness and sensitivity of our detection statistics, we perform a number of Monte Carlo simulations. We produce sensitivity curves for PTAs of various configurations and outline an implementation of a fully functional data analysis pipeline. Finally, we present a derivation of the likelihood maximized over the gravitational wave phases at the pulsar locations, which results in a vast reduction of the search parameter space.