标题： 非相同且相关噪声的功率谱密度估计的正则化方法，使用爱因斯坦望远镜的零信道 显示英文标题

标题： Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope

摘要： 几种提出的引力波干涉仪采用三角形配置，例如爱因斯坦望远镜和激光干涉空间天线。 对于这种配置，可以构建一个独特的零信道，对来自所有方向的引力波不敏感。 我们扩展了以前的工作，并描述如何使用零信道形式来估计爱因斯坦望远镜干涉仪的功率谱密度，包括非相同以及相关的噪声源。 该形式在爱因斯坦望远镜的背景下通过两个例子进行说明，复杂度和现实性逐步增加。 通过使用已知的噪声混合，我们证明该形式在数学上是正确的且内部一致。 最后，我们强调未来研究的必要性，以将此形式作为贝叶斯估计框架的一个组成部分来使用。 显示英文摘要

摘要： 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.