Gaussianity of LISA's confusion backgrounds

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dc.creatorRacine, Etienne
dc.creatorCutler, Curt
dc.date2007-08-30
dc.date.accessioned2026-07-07T11:19:00Z
dc.date.available2026-07-07T11:19:00Z
dc.descriptionData analysis for the proposed Laser Interferometer Space Antenna (LISA) will be complicated by the huge number of sources in the LISA band. Throughout much of the band, galactic white dwarf binaries (GWDBs) are sufficiently dense in frequency space that it will be impossible to resolve most of them, and "confusion noise" from the unresolved Galactic binaries will dominate over instrumental noise in determining LISA's sensitivity to other sources in that band. Confusion noise from unresolved extreme-mass-ratio inspirals (EMRIs) could also contribute significantly to LISA's total noise curve. To date, estimates of the effect of LISA's confusion noise on matched-filter searches and their detection thresholds have generally approximated the noise as Gaussian, based on the Central Limit Theorem. However in matched-filter searches, the appropriate detection threshold for a given class of signals may be located rather far out on the tail of the signal-to-noise probability distribution, where a priori it is unclear whether the Gaussian approximation is reliable. Using the Edgeworth expansion and the theory of large deviations, we investigate the probability distribution of the usual matched-filter detection statistic, far out on the tail of the distribution. We apply these tools to four somewhat idealized versions of specific LISA searches.
dc.description24 pages, 3 figures, submitted to Physical Review D
dc.identifierhttps://arxiv.org/abs/0708.4242
dc.identifierhttp://arxiv.org/abs/0708.4242
dc.identifierPhys.Rev.D76:124033,2007
dc.identifierdoi:10.1103/PhysRevD.76.124033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193538
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGaussianity of LISA's confusion backgrounds
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