Living Reviews in Relativity has published an update of the review “Gravitational-Wave Data Analysis. Formalism and Applications: The Gaussian Case” by Piotr Jaranowski and Andrzej Królak on March 9, 2012.
Please find the abstract and further details below.
Jaranowski, Piotr A. and Królak, Andrzej
“Gravitational-Wave Data Analysis. Formalism and Applications: The Gaussian Case”
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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, 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.
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