Correlator bank detection of gravitational wave chirpsFalsealarm probability, template density, and thresholds: Behind and beyond the minimalmatch issue
Abstract
The general problem of computing the falsealarm probability vs the detectionthreshold relationship for a bank of correlators is addressed, in the context of maximumlikelihood detection of gravitational waves in additive stationary Gaussian noise. Specific reference is made to chirps from coalescing binary systems. Accurate (lowerbound) approximants for the cumulative distribution of the wholebank supremum are deduced from a class of Bonferronitype inequalities. The asymptotic properties of the cumulative distribution are obtained, in the limit where the number of correlators goes to infinity. The validity of numerical simulations made on smallsize banks is extended to banks of any size, via a Gaussiancorrelation inequality. The result is used to readdress the problem of relating the template density to the fraction of potentially observable sources which could be dismissed as an effect of template space discreteness.
 Authors:
 Wavesgroup, University of Sannio at Benevento, Piazza Roma, Pal. Bosco Lucarelli, 82100 Benevento (Italy)
 Dipartimento di Ingegneria dell' Informazione e Ingegneria Elettrica, University of Salerno, Via Ponte don Melillo, 84084 Fisciano, SA (Italy)
 Publication Date:
 OSTI Identifier:
 20698200
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 70; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.70.122001; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; BINARY STARS; COMPUTERIZED SIMULATION; CORRELATIONS; DENSITY; DISTRIBUTION; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; MAXIMUMLIKELIHOOD FIT; NOISE; PROBABILITY
Citation Formats
Croce, R.P., Demma, Th., Pierro, V., Pinto, I.M., Longo, M., Marano, S., and Matta, V. Correlator bank detection of gravitational wave chirpsFalsealarm probability, template density, and thresholds: Behind and beyond the minimalmatch issue. United States: N. p., 2004.
Web. doi:10.1103/PhysRevD.70.122001.
Croce, R.P., Demma, Th., Pierro, V., Pinto, I.M., Longo, M., Marano, S., & Matta, V. Correlator bank detection of gravitational wave chirpsFalsealarm probability, template density, and thresholds: Behind and beyond the minimalmatch issue. United States. doi:10.1103/PhysRevD.70.122001.
Croce, R.P., Demma, Th., Pierro, V., Pinto, I.M., Longo, M., Marano, S., and Matta, V. 2004.
"Correlator bank detection of gravitational wave chirpsFalsealarm probability, template density, and thresholds: Behind and beyond the minimalmatch issue". United States.
doi:10.1103/PhysRevD.70.122001.
@article{osti_20698200,
title = {Correlator bank detection of gravitational wave chirpsFalsealarm probability, template density, and thresholds: Behind and beyond the minimalmatch issue},
author = {Croce, R.P. and Demma, Th. and Pierro, V. and Pinto, I.M. and Longo, M. and Marano, S. and Matta, V.},
abstractNote = {The general problem of computing the falsealarm probability vs the detectionthreshold relationship for a bank of correlators is addressed, in the context of maximumlikelihood detection of gravitational waves in additive stationary Gaussian noise. Specific reference is made to chirps from coalescing binary systems. Accurate (lowerbound) approximants for the cumulative distribution of the wholebank supremum are deduced from a class of Bonferronitype inequalities. The asymptotic properties of the cumulative distribution are obtained, in the limit where the number of correlators goes to infinity. The validity of numerical simulations made on smallsize banks is extended to banks of any size, via a Gaussiancorrelation inequality. The result is used to readdress the problem of relating the template density to the fraction of potentially observable sources which could be dismissed as an effect of template space discreteness.},
doi = {10.1103/PhysRevD.70.122001},
journal = {Physical Review. D, Particles Fields},
number = 12,
volume = 70,
place = {United States},
year = 2004,
month =
}

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