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A fixed false alarm probability figure of merit for gravitational wave detectors

Wąs, M. and Kalmus, P. and Leong, J. R. and Adams, T. and Leroy, N. and Macleod, D. M. and Pankow, C. and Robinet, F. (2014) A fixed false alarm probability figure of merit for gravitational wave detectors. Classical and Quantum Gravity, 31 (8). Art. No. 085004. ISSN 0264-9381.

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Performance of gravitational wave (GW) detectors can be characterized by several figures of merit (FOMs) which are used to guide the detector's commissioning and operations, and to gauge astrophysical sensitivity. One key FOM is the range in Mpc, averaged over orientation and sky location, at which a GW signal from binary neutron star inspiral and coalescence would have a signal-to-noise ratio (SNR) of 8 in a single detector. This fixed-SNR approach does not accurately reflect the effects of transient noise (glitches), which can severely limit the detectability of transient GW signals expected from a variety of astrophysical sources. We propose a FOM based instead on a fixed false-alarm probability (FAP). This is intended to give a more realistic estimate of the detectable GW transient range including the effect of glitches. Our approach applies equally to individual interferometers or a network of interferometers. We discuss the advantages of the fixed-FAP approach, present examples from a prototype implementation, and discuss the impact it has had on the recent commissioning of the GW detector GEO 600.

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Additional Information:© 2014 Institute of Physics. Received 4 November 2013, revised 24 January 2014. Accepted for publication 25 February 2014. Published 21 March 2014. We would like to thank the LIGO scientific and Virgo collaborations for providing a medium where stimulating discussions took place which ultimately were the motivating factors for this work. These collaborations have also allowed the use of GEO 600 GW data in the prototype FOMs displayed here. The Max Planck Society, Leibniz Universitt Hannover, the Science and Technology Facilities Council in the UK, the Bundesministerium für Bildung und Forschung and the state of Lower Saxony in Germany, and the Volkswagen Foundation all made generous contributions which helped to make GEO600 a reality. Many people over many years have also worked hard on the design and construction, as well as upgrades to GEO600 that make it what it is today. We also acknowledge the institutes out of which the authors work, in particular the support provided to MW and JRL by the Max Plank Society. PK is a member of the LIGO Laboratory, supported by funding from the National Science Foundation. LIGO was constructed by the California Institute of Technology and the Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058. TA and DMM were supported by a studentship from the Science and Technology Facilities Council, in particular TA by the STFC Long Term Attachment ST/I505621/1. CP was supported by the NSF grant PHY0970074 and the UWM Research Growth Initiative.
Funding AgencyGrant Number
Max Planck SocietyUNSPECIFIED
Leibniz Universitt HannoverUNSPECIFIED
Science and Technology Facilities Council (STFC)UNSPECIFIED
Bundesministerium für Bildung und Forschung (BMBF) (Germany)UNSPECIFIED
State of Lower Saxony (Germany)UNSPECIFIED
Volkswagen FoundationUNSPECIFIED
NSF cooperative agreementPHY-0757058
Science and Technology Facilities Council (STFC) StudentshipUNSPECIFIED
Science and Technology Facilities Council (STFC) Long Term AttachmentST/I505621/1
UWM Research Growth InitiativeUNSPECIFIED
Issue or Number:8
Classification Code:PACS: 04.80.Nn, 98.70.Sa, 97.60.Jd, 97.80.-d, 07.60.Ly, 95.55.Ym. MSC: 83C35
Record Number:CaltechAUTHORS:20140603-084352649
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Official Citation: A fixed false alarm probability figure of merit for gravitational wave detectors M Wąs et al 2014 Class. Quantum Grav. 31 085004
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46041
Deposited By: Ruth Sustaita
Deposited On:03 Jun 2014 16:37
Last Modified:03 Oct 2019 06:40

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