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

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described by	proxy:entity/http/relativity.livingreviews.org/register.rdf
Date Issued	2005-03-21
Date Submitted	2005-02-04
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, 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.
Is Replaced By	Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case
Date Accepted	2005-03-03
Date Modified	http://relativity.livingreviews.org/resources/update#lrr-2005-3-u1
Title	Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case
Creator	http://relativity.livingreviews.org/resources/author#jaranowski.piotr http://relativity.livingreviews.org/resources/author#krolak.andrzej
Subject	gravitational waves, signal detection, parameter estimation
http://dev.livingr.../terms#adsBibcode	2005LRR.....8....3J
http://dev.livingr...ubtk/terms#number	3
http://dev.livingr...pubtk/terms#rscId	lrr-2005-3
http://dev.livingr...btk/terms#rscType	publication
http://dev.livingr...btk/terms#subject	http://relativity.livingreviews.org/resources/subjectField#GravWave
http://dev.livingr...ubtk/terms#volume	8
is topic of	http://relativity.livingreviews.org/register.rdf
is Has Part of	Living Reviews in Relativity
is Replaces of	Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case

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