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An analytic model a la Middleton of the impulsive noise component in the dataof interferometric gravitational wave detectors is proposed, based on an atomicrepresentation of glitches. A fully analytic characterization of the coherentnetwork data analysis algorithm proposed by Rakhmanov and Klimenko is obtained,for the simplest relevant case of triggered detection of unmodeledgravitational wave bursts, using the above noise model. The detector'sperformance is evaluated under a suitable central-limit hypothesis, and theeffects of both the noisiness of the pseudo-templates, and the presence of theimpulsive noise component are highlighted.

classical and quantum gravity

Modeling the Impulsive Noise Component and its Effect on the Operation  of a Simple Coherent Network Algorithm for Unmodeled Gravitational Wave  Bursts Detection