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Title: Constraint likelihood analysis for a network of gravitational wave detectors

Abstract

We propose a coherent method for detection and reconstruction of gravitational wave signals with a network of interferometric detectors. The method is derived by using the likelihood ratio functional for unknown signal waveforms. In the likelihood analysis, the global maximum of the likelihood ratio over the space of waveforms is used as the detection statistic. We identify a problem with this approach. In the case of an aligned pair of detectors, the detection statistic depends on the cross correlation between the detectors as expected, but this dependence disappears even for infinitesimally small misalignments. We solve the problem by applying constraints on the likelihood functional and obtain a new class of statistics. The resulting method can be applied to data from a network consisting of any number of detectors with arbitrary detector orientations. The method allows us reconstruction of the source coordinates and the waveforms of two polarization components of a gravitational wave. We study the performance of the method with numerical simulations and find the reconstruction of the source coordinates to be more accurate than in the standard likelihood method.

Authors:
; ;  [1];  [2]
  1. University of Florida, P.O. Box 118440, Gainesville, Florida 32611 (United States)
  2. University of Texas at Brownsville, 80 Fort Brown, Brownsville, Texas 78520 (United States)
Publication Date:
OSTI Identifier:
20774490
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.72.122002; (c) 2005 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; COMPUTERIZED SIMULATION; COORDINATES; CORRELATIONS; DETECTION; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; INTERFEROMETRY; ORIENTATION; PERFORMANCE; POLARIZATION; STATISTICS; WAVE FORMS

Citation Formats

Klimenko, S, Rakhmanov, M, Mitselmakher, G, and Mohanty, S. Constraint likelihood analysis for a network of gravitational wave detectors. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.122002.
Klimenko, S, Rakhmanov, M, Mitselmakher, G, & Mohanty, S. Constraint likelihood analysis for a network of gravitational wave detectors. United States. https://doi.org/10.1103/PhysRevD.72.122002
Klimenko, S, Rakhmanov, M, Mitselmakher, G, and Mohanty, S. 2005. "Constraint likelihood analysis for a network of gravitational wave detectors". United States. https://doi.org/10.1103/PhysRevD.72.122002.
@article{osti_20774490,
title = {Constraint likelihood analysis for a network of gravitational wave detectors},
author = {Klimenko, S and Rakhmanov, M and Mitselmakher, G and Mohanty, S},
abstractNote = {We propose a coherent method for detection and reconstruction of gravitational wave signals with a network of interferometric detectors. The method is derived by using the likelihood ratio functional for unknown signal waveforms. In the likelihood analysis, the global maximum of the likelihood ratio over the space of waveforms is used as the detection statistic. We identify a problem with this approach. In the case of an aligned pair of detectors, the detection statistic depends on the cross correlation between the detectors as expected, but this dependence disappears even for infinitesimally small misalignments. We solve the problem by applying constraints on the likelihood functional and obtain a new class of statistics. The resulting method can be applied to data from a network consisting of any number of detectors with arbitrary detector orientations. The method allows us reconstruction of the source coordinates and the waveforms of two polarization components of a gravitational wave. We study the performance of the method with numerical simulations and find the reconstruction of the source coordinates to be more accurate than in the standard likelihood method.},
doi = {10.1103/PhysRevD.72.122002},
url = {https://www.osti.gov/biblio/20774490}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}