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Search for Gravitational Waves from Binary Back Hole Mergers: Parameter Estimation and Fisher Matrix

机译:从二进制背孔合并中搜索引力波:参数估计和Fisher矩阵

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The orbits of binary black hole systems shrink due to gravitational radiations. At the last stage of merger, the gravitational wave (GW) signals can be detected by the groundbased detectors, such as LIGO and Virgo. In the data analysis of GWs emitted from merging black hole binaries, the matched filtering method is employed in the detection pipeline to identify GW events. Once a detection is made, the parameter estimation seeks the physical parameters of the GW source. This pipeline repeatedly performs overlap computations by generating theoretical waveforms and matching those to the detector data based on Monte Carlo simulations. In this talk, we briefly review the search and the parameter estimation in GW data analysis, and introduce the Fisher matrix (FM) method that has been mainly used to predict the uncertainties in the parameter estimations analytically. The FM is very easy to compute and has very low computational cost compared to Monte Carlo simulations. Using the FM, we calculate the parameter estimation uncertainties for binary black hole systems.
机译:由于重力辐射,二元黑洞系统的轨道缩小。在合并的最后阶段,可以由地基检测器(例如Ligo和Viggo)检测引力波(GW)信号。在合并黑洞二进制文件中发射的GW的数据分析中,在检测管道中采用匹配的滤波方法来识别GW事件。一旦进行了检测,参数估计会寻求GW源的物理参数。该管道通过产生理论波形并将那些基于蒙特卡罗模拟匹配来重复执行重叠计算。在此谈话中,我们简要介绍了GW数据分析中的搜索和参数估计,并介绍了主要用于预测参数估计中的不确定性的Fisher矩阵(FM)方法。与Monte Carlo模拟相比,FM非常易于计算,并且具有非常低的计算成本。使用FM,我们计算二进制黑洞系统的参数估计不确定性。

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