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Multiresolution techniques for the detection of gravitational-wave bursts

S Chatterji·L Blackburn·G Martin·E Katsavounidis
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Abstract

We present two search algorithms that implement logarithmic tiling of the time-frequency plane in order to efficiently detect astrophysically unmodeled bursts of gravitational radiation. The first is a straightforward application of the dyadic wavelet transform. The second is a modification of the windowed Fourier transform which tiles the time-frequency plane for a specific Q. In addition, we also demonstrate adaptive whitening by linear prediction, which greatly simplifies our statistical analysis. This is a methodology paper that aims to describe the techniques for identifying significant events as well as the necessary pre-processing that is required in order to improve their performance. For this reason we use simulated LIGO noise in order to illustrate the methods and to present their preliminary performance.

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S Chatterji, L Blackburn, G Martin, E Katsavounidis. 2004-12-24. Multiresolution techniques for the detection of gravitational-wave bursts. https://doi.org/10.1088/0264-9381%2F21%2F20%2F024

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