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.
@article{arxiv.gr-qc/0412119,
title = {Multiresolution techniques for the detection of gravitational-wave bursts},
author = {S Chatterji and L Blackburn and G Martin and E Katsavounidis},
journal= {arXiv preprint arXiv:gr-qc/0412119},
year = {2009}
}
Comments
Proceedings of the 8th Gravitational Wave Data Analysis Workshop, Milwaukee, Wisconsin, 12 pages, 3 figures