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Geometric algorithm for efficient coincident detection of gravitational waves

Robinson, C. A. K. and Sathyaprakash, B. S. and Sengupta, Anand S. (2008) Geometric algorithm for efficient coincident detection of gravitational waves. Physical Review D, 78 (6). Art. No. 062002. ISSN 2470-0010. doi:10.1103/PhysRevD.78.062002.

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Data from a network of gravitational-wave detectors can be analyzed in coincidence to increase detection confidence and reduce nonstationarity of the background. We propose and explore a geometric algorithm to combine the data from a network of detectors. The algorithm makes optimal use of the variances and covariances that exist among the different parameters of a signal in a coincident detection of events. The new algorithm essentially associates with each trigger ellipsoidal regions in parameter space defined by the covariance matrix. Triggers from different detectors are deemed to be in coincidence if their ellipsoids have a nonzero overlap. Compared to an algorithm that uses uncorrelated windows separately for each of the signal parameters, the new algorithm greatly reduces the background rate thereby increasing detection efficiency at a given false alarm rate.

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Additional Information:©2008 The American Physical Society. (Received 7 May 2008; published 3 September 2008) The authors gratefully acknowledge the members of the Compact Binary Coalescence working group of the LIGO Scientific Collaboration for their contributions, suggestions, and discussions regarding this work. The authors are also grateful to Alan Weinstein, Michele Valisneri, Alexander Dietz, and Duncan Brown for carefully reading the manuscript and for suggesting improvements to the text.
Issue or Number:6
Record Number:CaltechAUTHORS:ROBprd08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11577
Deposited By: Archive Administrator
Deposited On:07 Sep 2008 08:16
Last Modified:08 Nov 2021 22:00

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