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A robust and coherent network statistic for detecting gravitational waves from inspiralling compact binaries in non-Gaussian noise

Sukanta Bose

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The robust statistic proposed by Creighton (Creighton J D E 1999 Phys. Rev. D 60 021101) and Allen et al (Allen et al 2001 Preprint gr-gc/010500) for the detection of stationary non-Gaussian noise is briefly reviewed. We compute the robust statistic for generic weak gravitational-wave signals in the mixture-Gaussian noise model to an accuracy higher than in those analyses, and reinterpret its role. Specifically, we obtain the coherent statistic for detecting gravitational-wave signals from inspiralling compact binaries with an arbitrary network of earth-based interferometers. Finally, we show that excess computational costs incurred owing to non-Gaussianity is negligible compared to the cost of detection in Gaussian noise.


PACS

04.80.Nn Gravitational wave detectors and experiments

05.40.Ca Noise

97.80.-d Binary and multiple stars

MSC

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Statistical physics and nonlinear systems

Astrophysics and astroparticles

Dates

Issue 7 (7 April 2002)

Received 3 October 2001

Published 11 March 2002



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