Parameter-space correlations of the optimal statistic for continuous gravitational-wave detection

2008/07/31 by H. J. Pletsch, Holger J. Pletsch · 4 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astrophysics #Geophysics and Gravity Measurements #Gravitational wave #Mathematical analysis #Mathematics #Physics #Pulsars and Gravitational Waves Research #Seismic Waves and Analysis #Statistic #Statistics #gr-qc

paper · pdf · doi:10.1103/physrevd.78.102005

published as Phys.Rev.D78:102005,2008 · 17 pages, 10 figures

openalex publication_date 2008/11/19 · arxiv created 2009/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The phase parameters of matched-filtering searches for continuous gravitational-wave signals are sky position, frequency, and frequency time-derivatives. The space of these parameters features strong global correlations in the optimal detection statistic. For observation times smaller than 1 yr, the orbital motion of the Earth leads to a family of global-correlation equations which describes the ``global maximum structure'' of the detection statistic. The solution to each of these equations is a different hypersurface in parameter space. The expected detection statistic is maximal at the intersection of these hypersurfaces. The global maximum structure of the detection statistic from stationary instrumental-noise artifacts is also described by the global-correlation equations. This permits the construction of a veto method which excludes false candidate events.

Citations

• Data analysis of gravitational-wave signals from spinning neutron stars. II. Accuracy of estimation of parameters
• Hough transform search for continuous gravitational waves
• Global parameter-space correlations of coherent searches for continuous gravitational waves
• Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case

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