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Modelling coloured residual noise in gravitational-wave signal processing

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arxiv 0804.3853 v6 pith:MD3XDYNI submitted 2008-04-24 stat.ME gr-qcphysics.data-an

classification stat.MEgr-qcphysics.data-an
keywords noisemodeldataprocessingsignalspectrumableaccommodate
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal (Gaussian) model. This way, it allows for uncertainty in the noise spectrum, or more generally is also able to accommodate outliers (heavy-tailed noise) in the data. Examples are given pertaining to data from gravitational wave detectors.

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    A mock data challenge shows that a phase-coherent search for the binary black hole background can recover injected signal fractions in realistic noise, using new treatments of noise uncertainty, finite-duration effect...

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