Sparse representation of Gravitational Sound

Abstract

Gravitational Sound clips produced by the Laser Interferometer Gravitational-Wave Observatory(LIGO) and the Massachusetts Institute of Technology (MIT) are considered within the particular context of data reduction. We advance a procedure to this effect and show that these types of signals can be approximated with high quality using significantly fewer elementary components than those required within the standard orthogonal basis framework. Furthermore, a local measure sparsity is shown to render meaningful information about the variation of a signal along time, by generating a set of local sparsity values which is much smaller than the dimension of the signal. This point is further illustrated by recourse to a more complex signal, generated by Milde Science Communication to divulge Gravitational Sound in the form of a ring tone

Publication DOI: https://doi.org/10.1016/j.jsv.2017.12.007
Divisions: College of Engineering & Physical Sciences > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Funding: Biofuels Research Infrastructure for Sharing Knowledge (BRISK)
Uncontrolled Keywords: Gravitational Sound,Sparse representation,Mixed dictionary,Greedy pursuit strategy
Full Text Link: https://arxiv.o ... bs/1702.01413v1
Related URLs: https://www.sco ... e7d185f57f8c8da (Scopus URL)
http://linkingh ... 022460X1730860X (Publisher URL)
PURE Output Type: Article
Published Date: 2017-12-27
Published Online Date: 2017-12-27
Accepted Date: 2017-12-04
Authors: Rebollo-neira, Laura (ORCID Profile 0000-0002-7420-8977)
Plastino, A.

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