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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 298186.0, MPI für Gravitationsphysik / Astrophysical Relativity
Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies
Authors:Mukhopadhyay, Himan; Sago, N.; Tagoshi, Hideyuki; Dhurandhar, Sanjeev; Takahashi, H.; Kanda, Nobuyuki
Language:English
Date of Publication (YYYY-MM-DD):2006-10
Title of Journal:Physical Review D
Journal Abbrev.:Phys. Rev. D
Volume:74
Issue / Number:8
Sequence Number of Article:083005
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:We compare two strategies of multidetector detection of compact binary inspiral signals, namely, the coincidence and the coherent. For simplicity we consider here two identical detectors having the same power spectral density of noise, that of initial LIGO, located in the same place and having the same orientation. We consider the cases of independent noise as well as that of correlated noise. The coincident strategy involves separately making two candidate event lists, one for each detector, and from these choosing those pairs of events from the two lists which lie within a suitable parameter window, which then are called coincidence detections. The coherent strategy on the other hand involves combining the data phase coherently, so as to obtain a single network statistic which is then compared with a single threshold. Here we attempt to shed light on the question as to which strategy is better. We compare the performances of the two methods by plotting the receiver operating characteristics (ROC) for the two strategies. Several of the results are obtained analytically in order to gain insight. Further we perform numerical simulations in order to determine certain parameters in the analytic formulae and thus obtain the final complete results. We consider here several cases from the relatively simple to the astrophysically more relevant in order to establish our results. The bottom line is that the coherent strategy although more computationally expensive in general than the coincidence strategy, is superior to the coincidence strategy—considerably less false dismissal probability for the same false alarm probability in the viable false alarm regime.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
External Affiliations:Interuniv Ctr Astron & Astrophys, Pune 411007, Maharashtra, India.; Osaka Univ, Dept Earth & Space Sci, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan.; Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany.; Osaka City Univ, Dept Phys, Grad Sch Sci, Osaka 5588585, Japan.
Identifiers:ISI:000241724000013 [ID No:1]
ISSN:1550-7998 [ID No:2]
DOI:10.1103/PhysRevD.74.083005
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