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:
-
Journal of Sound Vibration
- Pub Date:
- March 2018
- DOI:
- arXiv:
- arXiv:1702.01413
- Bibcode:
- 2018JSV...417..306R
- Keywords:
-
- Gravitational Sound;
- Sparse representation;
- Mixed dictionary;
- Greedy pursuit strategy;
- Physics - Data Analysis;
- Statistics and Probability;
- Physics - Instrumentation and Detectors
- E-Print:
- Routines for implementing the approach are available on http://www.nonlinear-approx.info/examples/node05.html