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Journal Article

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


Pletsch,  Holger J.
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Pletsch, H. J. (2008). Parameter-space correlations of the optimal statistic for continuous gravitational-wave detection. Physical Review D, 78(10): 102005. doi:10.1103/PhysRevD.78.102005.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6DA7-2
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.