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arXiv 1705.09421gr-qc
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LISA引力波观测站的全球分析

Global analysis for the LISA gravitational wave observatory

Travis Robson, Neil Cornish

摘要:

激光干涉仪空间天线(LISA)将探索引力波频谱的源丰富的毫赫兹波段。与地面探测器相比,地面探测器的典型信号是短暂和离散的,LISA信号通常是长期和重叠的,因此需要一个全球数据分析解决方案,这与为地面引力波天文学开发的逐源分析非常不同。在LISA波段,引力波既是信号{ \em又是噪声}。对这种所谓的混淆噪声(更好地称为未解决的信号噪声)的主要贡献预计来自短周期星系白矮星双星,但所有来源,包括大质量黑洞双星和极端质量比捕获也将作出贡献。以前对银河系混淆噪声的估计都假设了完美的信号相减。在这里,我们提供了信号减法残差的分析估计和它们对参数估计的影响,同时首次将噪声建模的影响。使用极大似然近似的完整的全球贝叶斯分析的分析估计。我们发现,虽然混淆噪声是{ \em降低}的全球分析,个别来源的波形误差是{ \em增加}相对于孤立信号的估计。我们提供了参数估计误差如何从全球分析的各个部分膨胀的估计。

英文摘要:

The Laser Interferometer Space Antenna (LISA) will explore the source-rich milli-Hertz band of the gravitational wave spectrum. In contrast to ground based detectors, where typical signals are short-lived and discrete, LISA signals are typically long-lived and over-lapping, thus requiring a global data analysis solution that is very different to the source-by-source analysis that has been developed for ground based gravitational wave astronomy. Across the LISA band, gravitational waves are both signals {\em and} noise. The dominant contribution to this so-called confusion noise (better termed unresolved signal noise) is expected to come from short period galactic white dwarf binaries, but all sources, including massive black hole binaries and extreme mass ratio captures will also contribute. Previous estimates for the galactic confusion noise have assumed perfect signal subtraction. Here we provide analytic estimates for the signal subtraction residuals and the impact they have on parameter estimation while for the first time incorporating the effects of noise modeling. The analytic estimates are found using a maximum likelihood approximation to the full global Bayesian analysis. We find that while the confusion noise is {\em lowered} in the global analysis, the waveform errors for individual sources are {\em increased} relative to estimates for isolated signals. We provide estimates for how parameter estimation errors are inflated from various parts of a global analysis.

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