
arXiv: 1702.01413
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. It is shown that these types of signals can be approximated at high quality using much less elementary components than those required within the standard orthogonal basis framework. Furthermore, a measure a local 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 stressed further by recourse to a more complex signal, generated by Milde Science Communication to divulge Gravitational Sound in the form a ring tone.
Routines for implementing the approach are available on http://www.nonlinear-approx.info/examples/node05.html
Physics - Instrumentation and Detectors, Physics - Data Analysis, Statistics and Probability, Física, Mixed dictionary, FOS: Physical sciences, Instrumentation and Detectors (physics.ins-det), Gravitational sound, Sparse representation, Ciencias Exactas, Data Analysis, Statistics and Probability (physics.data-an), Greedy pursuit strategy
Physics - Instrumentation and Detectors, Physics - Data Analysis, Statistics and Probability, Física, Mixed dictionary, FOS: Physical sciences, Instrumentation and Detectors (physics.ins-det), Gravitational sound, Sparse representation, Ciencias Exactas, Data Analysis, Statistics and Probability (physics.data-an), Greedy pursuit strategy
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 2 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
