Modelling coloured residual noise in gravitational-wave signal processing

Abstract

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.

21 pages, 5 figures

References in corpus (8)

• Bayesian coherent analysis of in-spiral gravitational wave signals with a detector network
• Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case
• Coherent Bayesian inference on compact binary inspirals using a network of interferometric gravitational wave detectors
• The Mock LISA Data Challenges: An overview
• An Evidence Based Search Method For Gravitational Waves From Neutron Star Ring-downs
• Separating Gravitational Wave Signals from Instrument Artifacts
• Bayesian parameter estimation in the second LISA Pathfinder Mock Data Challenge
• Inference on inspiral signals using LISA MLDC data

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