Sparse representation of Gravitational Sound

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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

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Original languageEnglish
Pages (from-to)306-314
JournalJournal of Sound and Vibration
Volume417
Early online date27 Dec 2017
DOIs
Publication statusPublished - 27 Dec 2017

Bibliographic note

© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Funding: Biofuels Research Infrastructure for Sharing Knowledge (BRISK)

    Keywords

  • Gravitational Sound, Sparse representation, Mixed dictionary, Greedy pursuit strategy

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