Adaptive multiresolution for wavelet analysis
| dc.creator | Sturani, Riccardo | |
| dc.creator | Terenzi, Roberto | |
| dc.date | 2007-11-02 | |
| dc.date.accessioned | 2026-07-07T11:38:31Z | |
| dc.date.available | 2026-07-07T11:38:31Z | |
| dc.description | We present a new method of wavelet packet decomposition to be used in gravitational wave detection. An issue in wavelet analysis is what is the time-frequency resolution which is best suited to analyze data when in quest of a signal of unknown shape, like a burst. In the other wavelet methods currently employed, like LIGO WaveBurst, the analysis is performed at some trial resolutions. We propose a decomposition which automatically selects at any frequency the best resolution. The criterion for resolution selection is based on minimization of a function of the data, named entropy in analogy with the information theory. As a qualitative application we show how a multiresolution time-frequency scalogram looks in the case of a sample signal injected over Gaussian noise. For a more quantitative application of the method we tested its efficiency as a non-linear filter of simulated data for burst searches, finding that it is able to lower the false alarm rate of the WaveBurst algorithm with negligible effects on the efficiency. | |
| dc.description | 8 pages, 4 figures. Proceeding of the 7th Edoardo Amaldi Conference on Gravitational Waves, 8-14 July 2007, Sydney (Australia) | |
| dc.identifier | https://arxiv.org/abs/0711.0349 | |
| dc.identifier | http://arxiv.org/abs/0711.0349 | |
| dc.identifier | J.Phys.Conf.Ser.122:012036,2008 | |
| dc.identifier | doi:10.1088/1742-6596/122/1/012036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199592 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Adaptive multiresolution for wavelet analysis | |
| dc.type | text |