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Title: Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies

Abstract

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 considermore » 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.« less

Authors:
;  [1]; ;  [2];  [3];  [4]
  1. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411007 (India)
  2. Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043 (Japan)
  3. Max-Plank-Institut fuer Gravitationsphysik, Albert-Einstein-Institut, Am Muehlengerg 1, D-14476 Golm bei Potsdam (Germany)
  4. Department of Physics, Graduate School of Science, Osaka City University, Osaka 558-8585 (Japan)
Publication Date:
OSTI Identifier:
20871366
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.74.083005; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; DETECTION; GAIN; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; NOISE; ORIENTATION; PERFORMANCE; PROBABILITY; SIGNALS; SPECTRAL DENSITY

Citation Formats

Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Tagoshi, Hideyuki, Takahashi, Hirotaka, and Kanda, Nobuyuki. Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.083005.
Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Tagoshi, Hideyuki, Takahashi, Hirotaka, & Kanda, Nobuyuki. Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies. United States. https://doi.org/10.1103/PHYSREVD.74.083005
Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Tagoshi, Hideyuki, Takahashi, Hirotaka, and Kanda, Nobuyuki. Sun . "Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies". United States. https://doi.org/10.1103/PHYSREVD.74.083005.
@article{osti_20871366,
title = {Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies},
author = {Mukhopadhyay, Himan and Dhurandhar, Sanjeev and Sago, Norichika and Tagoshi, Hideyuki and Takahashi, Hirotaka and Kanda, Nobuyuki},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.74.083005},
url = {https://www.osti.gov/biblio/20871366}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 74,
place = {United States},
year = {2006},
month = {10}
}