# Sparse Representation of Gravitational Sound

## TL;DR

This paper demonstrates that gravitational sound signals from LIGO and MIT can be efficiently represented using sparse components, enabling effective data reduction and insightful analysis of signal variations over time.

## Contribution

It introduces a sparse representation method for gravitational sound signals that outperforms standard orthogonal basis approaches and provides a meaningful measure of local sparsity for signal analysis.

## Key findings

- High-quality approximation with fewer components
- Local sparsity reveals signal variation over time
- Effective data reduction for gravitational sound signals

## 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. 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.