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          Document History for Document ID 372089

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Document Version Version Comment Date Status
372089.0 [No comment] 16.01.2009 11:28 Released

ID: 372089.0, MPI für Gravitationsphysik / Theoretical Gravitational Wave Physics
Chains of chirplets for the detection of gravitational wave chirps
Authors:Chassande-Mottin, Eric; Pai, Archana; Rabaste, Olivier
Date of Publication (YYYY-MM-DD):2007
Title of Proceedings:Wavelets XII
Sequence Number:670112
Title of Series:Proceedings of SPIE Volume
Volume (in Series):6701
Review Status:not specified
Audience:Not Specified
Abstract / Description:A worldwide collaboration attempts to confirm the existence of gravitational waves predicted by Einstein's theory of General Relativity, through direct observation with a network of large-scale laser interferometric antennas. This paper is a contribution to the methodologies used to scrutinize the data in order to reveal the tiny signature of a gravitational wave from rare cataclysmic events of astrophysical origin. More specifically, we are interested in the detection of short frequency modulated transients or gravitational wave chirps. The amount of information about the frequency vs. time evolution is limited: we only know that it is smooth. The detection problem is thus non-parametric. We introduce a finite family of "template waveforms" which accurately samples the set of admissible chirps. The templates are constructed as a puzzle, by assembling elementary bricks (the chirplets) taken a dictionary. The detection amounts to testing the correlation between the data and the template family. With an adequate time-frequency mapping, we establish a connection between this correlation measurement and combinatorial optimization problems of graph theory, from which we obtain efficient algorithms to perform the calculation. We present two variants. A first one addresses the case of amplitude modulated chirps and the second allows the joint analysis of the data from several antennas. Those methods are not limited to the specific context for which they have been developed. We pay a particular attention to the aspects that can be source of inspiration for other applications.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Yanbei Chen
Affiliations:MPI für Gravitationsphysik/Theoretical Gravitational Wave Physics
External Affiliations:ISBN: 9780819468499