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Gravitational wave detection using multiscale chirplets

Candès, E. J. and Charlton, P. R. and Helgason, H. (2008) Gravitational wave detection using multiscale chirplets. Classical and Quantum Gravity, 25 (18). Art. No. 184020. ISSN 0264-9381. doi:10.1088/0264-9381/25/18/184020. https://resolver.caltech.edu/CaltechAUTHORS:CANcqg08b

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Abstract

A generic 'chirp' of the form h(t) = A(t)cos phi(t) can be closely approximated by a connected set of multiscale chirplets with quadratically-evolving phase. The problem of finding the best approximation to a given signal using chirplets can be reduced to that of finding the path of minimum cost in a weighted, directed graph, and can be solved in polynomial time via dynamic programming. For a signal embedded in noise we apply constraints on the path length to obtain a statistic for detection of chirping signals in coloured noise. In this paper we present some results from using this test to detect binary black hole coalescences in simulated LIGO noise.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0264-9381/25/18/184020DOIUNSPECIFIED
http://stacks.iop.org/CQG/25/184020PublisherUNSPECIFIED
http://www.iop.org/EJ/abstract/0264-9381/25/18/184020PublisherUNSPECIFIED
ORCID:
AuthorORCID
Candès, E. J.0000-0001-9234-924X
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2008. Received 28 March 2008, in final form 18 June 2008. Published 2 September 2008. Print publication: Issue 18 (21 September 2008). EC was partially supported by National Science Foundation grants DMS 01-40698 (FRG) and ITR ACI-0204932. We thank Warren Anderson for supplying his Maple code for simulating BBH coalescence. This paper has LIGO document number LIGO-P080017-00-Z.
Funders:
Funding AgencyGrant Number
National Science Foundation01-40698
National Science FoundationITR ACI-0204932
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO documentP080017-00-Z
Issue or Number:18
DOI:10.1088/0264-9381/25/18/184020
Record Number:CaltechAUTHORS:CANcqg08b
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CANcqg08b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11582
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:08 Sep 2008 21:12
Last Modified:08 Nov 2021 22:00

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