论文标题
来自非零偏心率的二进制黑洞重建引力波信号的贝叶斯重建
Bayesian Reconstruction of Gravitational-wave Signals from Binary Black Holes with Nonzero Eccentricities
论文作者
论文摘要
我们介绍了一项有关如何通过与最不依赖模型的波形重建和参数估计技术回收非零偏心率的二元黑洞的重力波信号的全面研究。为此,我们使用Ligo-Virgo协作使用的贝叶斯算法Bayeswave,用于信号波形和参数的未建模重建。我们使用了两个不同的波形模型来生成带有偏心轨道的二进制黑洞的模拟信号,并将它们嵌入了设计敏感性高级LIGO探测器的模拟噪声样品中。我们研究了网络的重叠和点的估计值,该网络是贝叶斯波恢复的信号波形的中心矩作为$ e $的函数,这是二进制以8 Hz轨道频率的偏心率。贝叶斯波恢复了近圆形($ e \ lyssim0.2 $)和高度偏心($ e \ gtrsim0.7 $)二进制信号,其网络重叠类似于圆形($ e = 0 $),但是它会产生较低的网络重叠的网络重叠,这些网络与$ e \ in [0.2,0,0.7] $ in [0.2,0.7] $。中央频率和带宽(相对于带宽的测量)的估计错误几乎独立于$ e $,而中央时间和持续时间和持续时间(相对于持续时间测量)的估计错误分别以$ e $上的$ e $ e \ e \ gtrsim0.5 $增加和减小。我们还测试了贝叶斯波使用线性频率演变(chirplets)而不是正弦高斯小波进行的通用小波进行重建时的性能。我们发现,当使用chirperets时,网络重叠率提高了$ \ sim 10-20 $%,并且在低($ e <0.5 $)怪异时的改进是最高的。但是,当使用Chirplet Base时,中央矩的估计误差没有显着变化。
We present a comprehensive study on how well gravitational-wave signals of binary black holes with nonzero eccentricities can be recovered with state of the art model-independent waveform reconstruction and parameter estimation techniques. For this we use BayesWave, a Bayesian algorithm used by the LIGO-Virgo Collaboration for unmodeled reconstructions of signal waveforms and parameters. We used two different waveform models to produce simulated signals of binary black holes with eccentric orbits and embed them in samples of simulated noise of design-sensitivity Advanced LIGO detectors. We studied the network overlaps and point estimates of central moments of signal waveforms recovered by BayesWave as a function of $e$, the eccentricity of the binary at 8 Hz orbital frequency. BayesWave recovers signals of near-circular ($e\lesssim0.2$) and highly eccentric ($e\gtrsim0.7$) binaries with network overlaps similar to that of circular ($e=0$) ones, however it produces lower network overlaps for binaries with $e\in[0.2,0.7]$. Estimation errors on central frequencies and bandwidths (measured relative to bandwidths) are nearly independent from $e$, while estimation errors on central times and durations (measured relative to durations) increase and decrease with $e$ above $e\gtrsim0.5$, respectively. We also tested how BayesWave performs when reconstructions are carried out using generalized wavelets with linear frequency evolution (chirplets) instead of sine-Gaussian wavelets. We have found that network overlaps improve by $\sim 10-20$ percent when chirplets are used, and the improvement is the highest at low ($e<0.5$) eccentricities. There is however no significant change in the estimation errors of central moments when the chirplet base is used.