Sharper time-frequency tools for gravitational wave data analysis.
Addesso P., Matta V., Longo M., Pierro V., Pinto I.M., Principe M.
Time-frequency representation tools are widely used in data analysis for gravitational wave experiments. Presently available tools (the LIGO-Virgo $Q-Scan,$ Omega and Omicron pipelines) are essentially based on the $constant-Q$ transform, in its various flavours. Other time-frequency representations exist, with superior performances in terms of sharpness (time-frequency resolution) and contrast (noise-rejection). We illustrate such features with reference to the GW150914 event, and discuss the possible impact of advanced time-frequency tools based on the Wigner-Ville representation and the compressed-sensing paradigm in gravitational wave signal detection and parameter estimation using data-fusion from multiple detectors.