2005/03/21 by P. Jaranowski, A. Królak · 1 citation
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Statistical Mechanics and Entropy #Radio Astronomy Observations and Technology
paper · pdf · doi:10.12942/lrr-2005-3
openalex publication_date 2005/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
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.