论文标题
使用爱因斯坦望远镜中的无效噪声的功率光谱密度估计的形式主义估计
Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
论文作者
论文摘要
一些提出的重力波干涉仪具有三角形构型，例如爱因斯坦望远镜和激光干涉仪空间天线。对于这种配置，可以从各个方向构建对重力波不敏感的唯一无效通道。我们扩展了早期的工作，并描述了如何使用零通道形式主义来估计爱因斯坦望远镜干涉仪具有非相同和相关噪声源的功率频谱密度。在爱因斯坦望远镜的背景下，形式主义用两个例子进行了说明，并具有越来越多的复杂性和现实主义。通过使用已知的噪声混合物，我们表明形式主义在数学上是正确的，并且在内部是一致的。最后，我们重点介绍了未来的研究，需要将这种形式主义作为贝叶斯估计框架的成分。
Several proposed gravitational wave interferometers have a triangular configuration, such as the Einstein Telescope and the Laser Interferometer Space Antenna. For such a configuration one can construct a unique null channel insensitive to gravitational waves from all directions. We expand on earlier work and describe how to use the null channel formalism to estimate the power spectral density for the Einstein Telescope interferometers with non-identical as well as correlated noise sources. The formalism is illustrated with two examples in the context of the Einstein Telescope, with increasing degrees of complexity and realism. By using known mixtures of noises we show the formalism is mathematically correct and internally consistent. Finally we highlight future research needed to use this formalism as an ingredient for a Bayesian estimation framework.
