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Search and parameter estimate in gravitational wave data analysis and the fisher matrix

机译：引力波数据分析和Fisher矩阵中的搜索和参数估计

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摘要

By means of next-generation ground-based gravitational wave (GW) detectors, real GW signals will be directly detected within a few years. In the data analysis of GWs emitted from merging compact binaries, the matched filtering method is employed in the search pipeline to identify GW events. Once a detection is made in the search, the parameter estimate seeks the physical parameters of the GWsource. This pipeline repeatedly performs overlap computations by generating theoretical waveforms and matching those to the detector data based on Monte Carlo simulations. In this work, we briefly review the search and the parameter estimate in GW data analysis. We also introduce the Fisher matrix method that has been mainly used to predict the errors in the parameter estimates analytically. The Fisher matrix is very easy to compute and has very low computational cost compared to Monte Carlo simulations. Using the Fisher matrix, we calculate the parameter estimate errors for a nonspinning black hole - neutron star binary system. We find that the errors of the component masses for the advanced LIGO sensitivity can be smaller than those for the initial LIGO sensitivity by a factor of similar to 3.
机译：借助下一代地基重力波（GW）检测器，将在几年内直接检测到真实的GW信号。在合并紧凑型二进制文件发出的GW的数据分析中，在搜索管道中采用匹配的过滤方法来标识GW事件。在搜索中进行检测后，参数估计值将寻找GWsource的物理参数。该流水线通过生成理论波形并将其与基于蒙特卡洛模拟的检测器数据进行匹配来重复执行重叠计算。在这项工作中，我们简要回顾了GW数据分析中的搜索和参数估计。我们还介绍了Fisher矩阵方法，该方法主要用于预测性地分析参数估计中的误差。与蒙特卡洛模拟相比，费舍尔矩阵非常容易计算，并且计算成本非常低。使用费舍尔矩阵，我们计算了非旋转黑洞-中子星双星系统的参数估计误差。我们发现高级LIGO灵敏度的组件质量误差可以比初始LIGO灵敏度的误差小3倍。

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