Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case

IF 26.3 2区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Piotr Jaranowski, Andrzej Królak
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引用次数: 41

Abstract

The article reviews the statistical theory of signal detection in application to analysis of deterministic gravitational-wave signals in the noise of a detector. Statistical foundations for the theory of signal detection and parameter estimation are presented. Several tools needed for both theoretical evaluation of the optimal data analysis methods and for their practical implementation are introduced. They include optimal signal-to-noise ratio, Fisher matrix, false alarm and detection probabilities, \({\mathcal F}\)-statistic, template placement, and fitting factor. These tools apply to the case of signals buried in a stationary and Gaussian noise. Algorithms to efficiently implement the optimal data analysis techniques are discussed. Formulas are given for a general gravitational-wave signal that includes as special cases most of the deterministic signals of interest.

Abstract Image

引力波数据分析。形式主义和示例应用:高斯情况
综述了信号检测的统计理论在探测器噪声环境下确定性引力波信号分析中的应用。给出了信号检测和参数估计理论的统计基础。介绍了对最佳数据分析方法进行理论评估和实际实施所需的几个工具。它们包括最优信噪比、Fisher矩阵、虚警和检测概率、\({\mathcal F}\) -统计量、模板放置和拟合因子。这些工具适用于埋在平稳高斯噪声中的信号。讨论了有效实现最优数据分析技术的算法。给出了一般引力波信号的公式,其中包括大多数感兴趣的确定性信号作为特殊情况。
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来源期刊
Living Reviews in Relativity
Living Reviews in Relativity 物理-物理:粒子与场物理
CiteScore
69.90
自引率
0.70%
发文量
0
审稿时长
20 weeks
期刊介绍: Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.
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