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General Relativity and Quantum Cosmology

arXiv:0711.0349 (gr-qc)
[Submitted on 2 Nov 2007]

Title:Adaptive multiresolution for wavelet analysis

Authors:Riccardo Sturani, Roberto Terenzi
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Abstract: 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.
Comments: 8 pages, 4 figures. Proceeding of the 7th Edoardo Amaldi Conference on Gravitational Waves, 8-14 July 2007, Sydney (Australia)
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.0349 [gr-qc]
  (or arXiv:0711.0349v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0349
Journal reference: J.Phys.Conf.Ser.122:012036,2008
Related DOI: https://doi.org/10.1088/1742-6596/122/1/012036

Submission history

From: Riccardo Sturani [view email]
[v1] Fri, 2 Nov 2007 16:51:01 UTC (186 KB)
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