论文标题
使用PULSAR计时阵列进行引力波搜索的公共光谱过程与交叉相关
Common-spectrum process versus cross-correlation for gravitational-wave searches using pulsar timing arrays
论文作者
论文摘要
北美纳米赫茨引力波观测站（Nanograv）最近报告了所有脉冲星的常见红色噪声过程的有力统计证据，如他们在12.5年的分析中，用于各向同性随机重力 - 重力波背景。但是，目前几乎没有证据表明阵列中脉冲星之间的四极空间相关性，这是对检测随机背景的自信声称所需的。在这里，我们对非常简单的信号+噪声模型进行了常见的分析，表明当前缺乏空间相关的证据与阵列中的成对的Earth-Pulsar基线的相关系数的大小是一致的，而Pulsar Time Arraysing Arraysbare在中间信号式阵列中最为明显的事实。我们得出分析表达式，可以比较普通光谱和互相关估计器的信噪比的预期值。
The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) has recently reported strong statistical evidence for a common-spectrum red-noise process for all pulsars, as seen in their 12.5-yr analysis for an isotropic stochastic gravitational-wave background. However, there is currently very little evidence for quadrupolar spatial correlations across the pulsars in the array, which is needed to make a confident claim of detection of a stochastic background. Here we give a frequentist analysis of a very simple signal+noise model showing that the current lack of evidence for spatial correlations is consistent with the magnitude of the correlation coefficients for pairs of Earth-pulsar baselines in the array, and the fact that pulsar timing arraysbare most-likely operating in the intermediate-signal regime. We derive analytic expressions that allow one to compare the expected values of the signal-to-noise ratios for both the common-spectrum and cross-correlation estimators.
