Modelling coloured residual noise in gravitational-wave signal processing

Christian Röver (1) , Renate Meyer (2) , Nelson Christensen (3)

1 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )
2 Department of Statistics [Auckland]
3 Department of Physics and Astronomy [Northfield]

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.

Mots clés: 04.80.Nn; 02.30.Zz; 05.45.Tp

Christian Röver, Renate Meyer, Nelson Christensen. Modelling coloured residual noise in gravitational-wave signal processing. Classical and Quantum Gravity, 2011, 28 (1), pp.15010. ⟨10.1088/0264-9381/28/1/015010⟩. ⟨hal-00657599⟩