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

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

2008-07-09

arxiv.org/abs/0807.1324v2

Phys.Rev.D78:102005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 10 figures

Scientific paper

10.1103/PhysRevD.78.102005

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 one year, 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.

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