arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1003.0844gr-qcastro-ph.IM
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来自自旋中子星的引力波信号的数据分析。五.窄带全天搜索

Data analysis of gravitational-wave signals from spinning neutron stars. V. A narrow-band all-sky search

Pia Astone, Kazimierz M. Borkowski, Piotr Jaranowski, Andrzej Królak, Maciej Pietka

摘要:

我们提出了理论和算法来执行一个全天相干搜索的周期信号的引力波在窄带数据的探测器。我们的搜索是基于一个统计量,通常称为$\mathcal{F}$统计量,来自最大似然原理在本系列的论文我。我们简要地回顾了地面探测器的响应的引力波信号从旋转的神经元星和推导的$\mathcal{F}$统计。我们提出了几种算法来有效地计算这个统计。特别是我们的算法是这样的,可以利用快速傅立叶变换(FFT)的速度在计算的$\mathcal{F}$ -统计。我们在参数空间中构造网格,使得网格的节点与傅立叶频率重合。我们提出的插值方法,近似转换成傅立叶变换的$\mathcal{F}$统计中的两个积分,使FFT算法可以应用在他们的评价。我们已经实现了我们的方法和算法到计算机代码,我们目前的蒙特卡罗模拟进行测试这些代码的结果。

英文摘要:

We present theory and algorithms to perform an all-sky coherent search for periodic signals of gravitational waves in narrow-band data of a detector. Our search is based on a statistic, commonly called the $\mathcal{F}$-statistic, derived from the maximum-likelihood principle in Paper I of this series. We briefly review the response of a ground-based detector to the gravitational-wave signal from a rotating neuron star and the derivation of the $\mathcal{F}$-statistic. We present several algorithms to calculate efficiently this statistic. In particular our algorithms are such that one can take advantage of the speed of fast Fourier transform (FFT) in calculation of the $\mathcal{F}$-statistic. We construct a grid in the parameter space such that the nodes of the grid coincide with the Fourier frequencies. We present interpolation methods that approximately convert the two integrals in the $\mathcal{F}$-statistic into Fourier transforms so that the FFT algorithm can be applied in their evaluation. We have implemented our methods and algorithms into computer codes and we present results of the Monte Carlo simulations performed to test these codes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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