论文标题
使用Fisher信息计算LISA中倾斜到长度耦合估计和噪声减法的精度
Calculating the precision of tilt-to-length coupling estimation and noise subtraction in LISA using Fisher information
论文作者
论文摘要
除非在后处理中纠正，否则丽莎角抖动的倾斜到长度（TTL）噪声预计将是Milli-Hertz带中的主要噪声源。只有在使用时间延迟干涉法（TDI）消除压倒性激光相噪声之后，才有可能进行校正。我们在这里提出了一个频域模型，该模型描述了通过TDI传播后所有三个航天器的角运动对干涉信号的影响。然后，我们将Fisher信息矩阵分析应用于该模型，以计算可以估计TTL耦合系数的最小不确定性。此外，我们显示了这些不确定性对重力波读数通道中残留的TTL噪声的影响，并将其与角见证人传感器的读数噪声的影响进行比较。我们表明，使用Lisa Angular抖动需求和一天的集成时间限于8 \，PM/$ \ sqrt {\ rm hz} $通过角度感应噪声级别，使用Lisa Angular抖动的需求和集成时间限于8 \，PM/$ \ sqrt {\ rm hz} $ clubs fiave fife ttdi变量的残留TTL噪声。但是，使用对角抖动的更真实的模型，我们发现TTL耦合不确定性大于70倍，并且噪声扣除受这些不确定性对14 \，PM/$ \ sqrt {\ rm Hz} $ lact的限制。
Tilt-to-length (TTL) noise from angular jitter in LISA is projected to be the dominant noise source in the milli-Hertz band unless corrected in post-processing. The correction is only possible after removing the overwhelming laser phase noise using time-delay interferometry (TDI). We present here a frequency domain model that describes the effect of angular motion of all three spacecraft on the interferometric signals after propagating through TDI. We then apply a Fisher information matrix analysis to this model to calculate the minimum uncertainty with which TTL coupling coefficients may be estimated. Furthermore, we show the impact of these uncertainties on the residual TTL noise in the gravitational wave readout channel, and compare it to the impact of the angular witness sensors' readout noise. We show that the residual TTL noise post-subtraction in the TDI variables for a case using the LISA angular jitter requirement and integration time of one day is limited to the 8\,pm/$\sqrt{\rm Hz}$ level by angular sensing noise. However, using a more realistic model for the angular jitter we find that the TTL coupling uncertainties are 70 times larger, and the noise subtraction is limited by these uncertainties to the 14\,pm/$\sqrt{\rm Hz}$ level.
