| Literature DB >> 28179835 |
Piotr Jaranowski1, Andrzej Królak2.
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, [Formula: see text]-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.Entities:
Year: 2012 PMID: 28179835 PMCID: PMC5255901 DOI: 10.12942/lrr-2012-4
Source DB: PubMed Journal: Living Rev Relativ ISSN: 1433-8351 Impact factor: 40.429