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Title: Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent strategies for correlated detectors

Abstract

We discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. From the maximum likelihood ratio statistic, we obtain a coherent statistic which is slightly different from and generally better than what we obtained in our previous work. In the special case when the cross spectrum of two detectors normalized by the power spectrum density is constant, the new statistic agrees with the old one. The quantitative difference of the detection probability for a given false alarm rate is also evaluated in a simple case.

Authors:
 [1]; ;  [2];  [3];  [4];  [5]
  1. Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043 (Japan)
  2. Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411007 (India)
  3. School of Mathematics, University of Southampton, Southampton SO17 1BJ (United Kingdom)
  4. Max-Planck-Institut fuer Gravitationsphysik, Albert-Einstein-Institut, Am Muehlenberg 1, D-14476 Golm bei Potsdam (Germany)
  5. Department of Physics, Graduate School of Science, Osaka City University, Osaka 558-8585 (Japan)
Publication Date:
OSTI Identifier:
21020443
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.087306; (c) 2007 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; COSMOLOGY; ENERGY SPECTRA; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; INTERFEROMETRY; LASERS; MAXIMUM-LIKELIHOOD FIT; PROBABILITY

Citation Formats

Tagoshi, Hideyuki, Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Takahashi, Hirotaka, and Kanda, Nobuyuki. Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent strategies for correlated detectors. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.087306.
Tagoshi, Hideyuki, Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Takahashi, Hirotaka, & Kanda, Nobuyuki. Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent strategies for correlated detectors. United States. doi:10.1103/PHYSREVD.75.087306.
Tagoshi, Hideyuki, Mukhopadhyay, Himan, Dhurandhar, Sanjeev, Sago, Norichika, Takahashi, Hirotaka, and Kanda, Nobuyuki. Sun . "Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent strategies for correlated detectors". United States. doi:10.1103/PHYSREVD.75.087306.
@article{osti_21020443,
title = {Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent strategies for correlated detectors},
author = {Tagoshi, Hideyuki and Mukhopadhyay, Himan and Dhurandhar, Sanjeev and Sago, Norichika and Takahashi, Hirotaka and Kanda, Nobuyuki},
abstractNote = {We discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. From the maximum likelihood ratio statistic, we obtain a coherent statistic which is slightly different from and generally better than what we obtained in our previous work. In the special case when the cross spectrum of two detectors normalized by the power spectrum density is constant, the new statistic agrees with the old one. The quantitative difference of the detection probability for a given false alarm rate is also evaluated in a simple case.},
doi = {10.1103/PHYSREVD.75.087306},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 75,
place = {United States},
year = {2007},
month = {4}
}